[{"_id":"7790","date_published":"2020-03-14T00:00:00Z","article_processing_charge":"No","citation":{"ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. <i>Forum of Mathematics, Sigma</i>. 2020;8. doi:<a href=\"https://doi.org/10.1017/fms.2020.17\">10.1017/fms.2020.17</a>","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” <i>Forum of Mathematics, Sigma</i>, vol. 8, e20, Cambridge University Press, 2020, doi:<a href=\"https://doi.org/10.1017/fms.2020.17\">10.1017/fms.2020.17</a>.","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” <i>Forum of Mathematics, Sigma</i>, vol. 8. Cambridge University Press, 2020.","apa":"Deuchert, A., Mayer, S., &#38; Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2020.17\">https://doi.org/10.1017/fms.2020.17</a>","chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2020. <a href=\"https://doi.org/10.1017/fms.2020.17\">https://doi.org/10.1017/fms.2020.17</a>.","short":"A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).","ista":"Deuchert A, Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 8, e20."},"oa":1,"date_updated":"2026-04-03T09:30:21Z","date_created":"2020-05-03T22:00:48Z","publisher":"Cambridge University Press","oa_version":"Published Version","month":"03","author":[{"orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","last_name":"Deuchert","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Mayer","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","first_name":"Simon","full_name":"Mayer, Simon"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer"}],"article_type":"original","year":"2020","isi":1,"language":[{"iso":"eng"}],"status":"public","publication_identifier":{"eissn":["2050-5094"]},"external_id":{"arxiv":["1910.03372"],"isi":["000527342000001"]},"arxiv":1,"article_number":"e20","intvolume":"         8","related_material":{"record":[{"id":"7524","relation":"earlier_version","status":"public"}]},"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"file_date_updated":"2020-07-14T12:48:03Z","doi":"10.1017/fms.2020.17","license":"https://creativecommons.org/licenses/by/4.0/","file":[{"relation":"main_file","file_id":"7797","file_size":692530,"access_level":"open_access","date_updated":"2020-07-14T12:48:03Z","date_created":"2020-05-04T12:02:41Z","file_name":"2020_ForumMath_Deuchert.pdf","checksum":"8a64da99d107686997876d7cad8cfe1e","content_type":"application/pdf","creator":"dernst"}],"ec_funded":1,"department":[{"_id":"RoSe"}],"publication":"Forum of Mathematics, Sigma","ddc":["510"],"title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","publication_status":"published","day":"14","abstract":[{"text":"We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density 𝜌 and inverse temperature 𝛽 differs from the one of the noninteracting system by the correction term 𝜋𝜌𝜌𝛽𝛽 . Here, is the scattering length of the interaction potential, and 𝛽 is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. The result is valid in the dilute limit 𝜌 and if 𝛽𝜌 .","lang":"eng"}],"corr_author":"1","has_accepted_license":"1","volume":8,"quality_controlled":"1","type":"journal_article","scopus_import":"1"},{"publication":"Annales Henri Poincare","ddc":["530"],"title":"Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit","publication_status":"published","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant agreement No. 665386 (K.M.) is gratefully acknowledged. Funding Open access funding provided by Institute of Science and Technology (IST Austria)","day":"01","file_date_updated":"2020-10-27T12:49:04Z","doi":"10.1007/s00023-020-00969-3","ec_funded":1,"file":[{"file_size":469831,"file_id":"8711","relation":"main_file","success":1,"creator":"cziletti","checksum":"c12c9c1e6f08def245e42f3cb1d83827","date_updated":"2020-10-27T12:49:04Z","content_type":"application/pdf","file_name":"2020_Annales_Mysliwy.pdf","date_created":"2020-10-27T12:49:04Z","access_level":"open_access"}],"department":[{"_id":"RoSe"}],"volume":21,"scopus_import":"1","quality_controlled":"1","type":"journal_article","corr_author":"1","has_accepted_license":"1","abstract":[{"lang":"eng","text":"We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the mean-field limit and rigorously show that, at low energies, the problem is well described by the Fröhlich polaron model."}],"month":"12","oa_version":"Published Version","publisher":"Springer Nature","author":[{"last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof"},{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"article_type":"original","isi":1,"year":"2020","date_published":"2020-12-01T00:00:00Z","_id":"8705","article_processing_charge":"Yes (via OA deal)","citation":{"mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” <i>Annales Henri Poincare</i>, vol. 21, no. 12, Springer Nature, 2020, pp. 4003–25, doi:<a href=\"https://doi.org/10.1007/s00023-020-00969-3\">10.1007/s00023-020-00969-3</a>.","ieee":"K. Mysliwy and R. Seiringer, “Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit,” <i>Annales Henri Poincare</i>, vol. 21, no. 12. Springer Nature, pp. 4003–4025, 2020.","ama":"Mysliwy K, Seiringer R. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. <i>Annales Henri Poincare</i>. 2020;21(12):4003-4025. doi:<a href=\"https://doi.org/10.1007/s00023-020-00969-3\">10.1007/s00023-020-00969-3</a>","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” <i>Annales Henri Poincare</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s00023-020-00969-3\">https://doi.org/10.1007/s00023-020-00969-3</a>.","apa":"Mysliwy, K., &#38; Seiringer, R. (2020). Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-020-00969-3\">https://doi.org/10.1007/s00023-020-00969-3</a>","short":"K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.","ista":"Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 21(12), 4003–4025."},"date_created":"2020-10-25T23:01:19Z","date_updated":"2026-04-07T14:14:51Z","oa":1,"arxiv":1,"intvolume":"        21","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program","call_identifier":"H2020"}],"page":"4003-4025","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"11473"}]},"publication_identifier":{"issn":["1424-0637"]},"status":"public","language":[{"iso":"eng"}],"issue":"12","external_id":{"arxiv":["2003.12371"],"isi":["000578111800002"]}},{"article_type":"original","isi":1,"year":"2020","month":"02","publisher":"Society for Industrial and Applied Mathematics ","oa_version":"Preprint","author":[{"orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","last_name":"Feliciangeli","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"oa":1,"date_created":"2021-08-06T07:34:16Z","date_updated":"2026-04-08T06:59:49Z","_id":"9781","date_published":"2020-02-12T00:00:00Z","citation":{"apa":"Feliciangeli, D., &#38; Seiringer, R. (2020). Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics . <a href=\"https://doi.org/10.1137/19m126284x\">https://doi.org/10.1137/19m126284x</a>","chicago":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics , 2020. <a href=\"https://doi.org/10.1137/19m126284x\">https://doi.org/10.1137/19m126284x</a>.","ama":"Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. <i>SIAM Journal on Mathematical Analysis</i>. 2020;52(1):605-622. doi:<a href=\"https://doi.org/10.1137/19m126284x\">10.1137/19m126284x</a>","ieee":"D. Feliciangeli and R. Seiringer, “Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 1. Society for Industrial and Applied Mathematics , pp. 605–622, 2020.","mla":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 1, Society for Industrial and Applied Mathematics , 2020, pp. 605–22, doi:<a href=\"https://doi.org/10.1137/19m126284x\">10.1137/19m126284x</a>.","ista":"Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1), 605–622.","short":"D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622."},"article_processing_charge":"No","page":"605-622","related_material":{"record":[{"id":"9733","relation":"dissertation_contains","status":"public"}]},"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"arxiv":1,"intvolume":"        52","external_id":{"arxiv":["1904.08647 "],"isi":["000546967700022"]},"issue":"1","language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["0036-1410"],"eissn":["1095-7154"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","image":"/images/cc_by_nc_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode"},"publication_status":"published","day":"12","acknowledgement":"We are grateful for the hospitality at the Mittag-Leffler Institute, where part of this work has been done. The work of the authors was supported by the European Research Council (ERC)under the European Union's Horizon 2020 research and innovation programme grant 694227.","publication":"SIAM Journal on Mathematical Analysis","ddc":["510"],"title":"Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","ec_funded":1,"department":[{"_id":"RoSe"}],"doi":"10.1137/19m126284x","volume":52,"type":"journal_article","quality_controlled":"1","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.08647"}],"keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"abstract":[{"text":"We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum.","lang":"eng"}],"has_accepted_license":"1","corr_author":"1"},{"year":"2020","author":[{"first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","last_name":"Mayer","full_name":"Mayer, Simon"}],"publisher":"Institute of Science and Technology Austria","month":"02","oa_version":"Published Version","date_created":"2020-02-24T09:17:27Z","date_updated":"2026-04-08T07:25:40Z","oa":1,"supervisor":[{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","citation":{"apa":"Mayer, S. (2020). <i>The free energy of a dilute two-dimensional Bose gas</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:7514\">https://doi.org/10.15479/AT:ISTA:7514</a>","chicago":"Mayer, Simon. “The Free Energy of a Dilute Two-Dimensional Bose Gas.” Institute of Science and Technology Austria, 2020. <a href=\"https://doi.org/10.15479/AT:ISTA:7514\">https://doi.org/10.15479/AT:ISTA:7514</a>.","ama":"Mayer S. The free energy of a dilute two-dimensional Bose gas. 2020. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7514\">10.15479/AT:ISTA:7514</a>","mla":"Mayer, Simon. <i>The Free Energy of a Dilute Two-Dimensional Bose Gas</i>. Institute of Science and Technology Austria, 2020, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7514\">10.15479/AT:ISTA:7514</a>.","ieee":"S. Mayer, “The free energy of a dilute two-dimensional Bose gas,” Institute of Science and Technology Austria, 2020.","ista":"Mayer S. 2020. The free energy of a dilute two-dimensional Bose gas. Institute of Science and Technology Austria.","short":"S. Mayer, The Free Energy of a Dilute Two-Dimensional Bose Gas, Institute of Science and Technology Austria, 2020."},"date_published":"2020-02-24T00:00:00Z","_id":"7514","alternative_title":["ISTA Thesis"],"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"page":"148","related_material":{"record":[{"id":"7524","relation":"part_of_dissertation","status":"public"}]},"publication_identifier":{"issn":["2663-337X"]},"status":"public","language":[{"iso":"eng"}],"day":"24","publication_status":"published","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"title":"The free energy of a dilute two-dimensional Bose gas","ddc":["510"],"department":[{"_id":"RoSe"},{"_id":"GradSch"}],"OA_place":"publisher","ec_funded":1,"file":[{"file_id":"7515","relation":"main_file","file_size":1563429,"content_type":"application/pdf","date_updated":"2020-07-14T12:47:59Z","checksum":"b4de7579ddc1dbdd44ff3f17c48395f6","date_created":"2020-02-24T09:15:06Z","file_name":"thesis.pdf","access_level":"open_access","creator":"dernst"},{"creator":"dernst","file_name":"thesis_source.zip","checksum":"ad7425867b52d7d9e72296e87bc9cb67","date_created":"2020-02-24T09:15:16Z","content_type":"application/x-zip-compressed","date_updated":"2020-07-14T12:47:59Z","access_level":"closed","file_size":2028038,"file_id":"7516","relation":"source_file"}],"doi":"10.15479/AT:ISTA:7514","file_date_updated":"2020-07-14T12:47:59Z","type":"dissertation","degree_awarded":"PhD","has_accepted_license":"1","corr_author":"1","abstract":[{"lang":"eng","text":"We study the interacting homogeneous Bose gas in two spatial dimensions in the thermodynamic limit at fixed density. We shall be concerned with some mathematical aspects of this complicated problem in many-body quantum mechanics. More specifically, we consider the dilute limit where the scattering length of the interaction potential, which is a measure for the effective range of the potential, is small compared to the average distance between the particles. We are interested in a setting with positive (i.e., non-zero) temperature. After giving a survey of the relevant literature in the field, we provide some facts and examples to set expectations for the two-dimensional system. The crucial difference to the three-dimensional system is that there is no Bose–Einstein condensate at positive temperature due to the Hohenberg–Mermin–Wagner theorem. However, it turns out that an asymptotic formula for the free energy holds similarly to the three-dimensional case.\r\nWe motivate this formula by considering a toy model with δ interaction potential. By restricting this model Hamiltonian to certain trial states with a quasi-condensate we obtain an upper bound for the free energy that still has the quasi-condensate fraction as a free parameter. When minimizing over the quasi-condensate fraction, we obtain the Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity, which plays an important role in our rigorous contribution. The mathematically rigorous result that we prove concerns the specific free energy in the dilute limit. We give upper and lower bounds on the free energy in terms of the free energy of the non-interacting system and a correction term coming from the interaction. Both bounds match and thus we obtain the leading term of an asymptotic approximation in the dilute limit, provided the thermal wavelength of the particles is of the same order (or larger) than the average distance between the particles. The remarkable feature of this result is its generality: the correction term depends on the interaction potential only through its scattering length and it holds for all nonnegative interaction potentials with finite scattering length that are measurable. In particular, this allows to model an interaction of hard disks."}]},{"quality_controlled":"1","type":"journal_article","volume":152,"corr_author":"1","abstract":[{"lang":"eng","text":"Inspired by the possibility to experimentally manipulate and enhance chemical reactivity in helium nanodroplets, we investigate the effective interaction and the resulting correlations between two diatomic molecules immersed in a bath of bosons. By analogy with the bipolaron, we introduce the biangulon quasiparticle describing two rotating molecules that align with respect to each other due to the effective attractive interaction mediated by the excitations of the bath. We study this system in different parameter regimes and apply several theoretical approaches to describe its properties. Using a Born–Oppenheimer approximation, we investigate the dependence of the effective intermolecular interaction on the rotational state of the two molecules. In the strong-coupling regime, a product-state ansatz shows that the molecules tend to have a strong alignment in the ground state. To investigate the system in the weak-coupling regime, we apply a one-phonon excitation variational ansatz, which allows us to access the energy spectrum. In comparison to the angulon quasiparticle, the biangulon shows shifted angulon instabilities and an additional spectral instability, where resonant angular momentum transfer between the molecules and the bath takes place. These features are proposed as an experimentally observable signature for the formation of the biangulon quasiparticle. Finally, by using products of single angulon and bare impurity wave functions as basis states, we introduce a diagonalization scheme that allows us to describe the transition from two separated angulons to a biangulon as a function of the distance between the two molecules."}],"keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy"],"main_file_link":[{"url":"https://arxiv.org/abs/1912.02658","open_access":"1"}],"title":"Intermolecular forces and correlations mediated by a phonon bath","publication":"The Journal of Chemical Physics","acknowledgement":"We are grateful to Areg Ghazaryan for valuable discussions. M.L. acknowledges support from the Austrian Science Fund (FWF) under Project No. P29902-N27 and from the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). G.B. acknowledges support from the Austrian Science Fund (FWF) under Project No. M2461-N27. A.D. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the European Research Council (ERC) Grant Agreement No. 694227 and under the Marie Sklodowska-Curie Grant Agreement No. 836146. R.S. was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2111 – 390814868.","day":"27","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1063/1.5144759","pmid":1,"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"ec_funded":1,"intvolume":"       152","article_number":"164302","arxiv":1,"project":[{"name":"Quantum rotations in the presence of a many-body environment","_id":"26031614-B435-11E9-9278-68D0E5697425","grant_number":"P29902","call_identifier":"FWF"},{"call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770","_id":"2688CF98-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","grant_number":"M02641","_id":"26986C82-B435-11E9-9278-68D0E5697425","name":"A path-integral approach to composite impurities"},{"call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"}],"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"8958"}]},"status":"public","publication_identifier":{"eissn":["1089-7690"],"issn":["0021-9606"]},"language":[{"iso":"eng"}],"issue":"16","external_id":{"pmid":["32357791"],"arxiv":["1912.02658"],"isi":["000530448300001"]},"author":[{"full_name":"Li, Xiang","last_name":"Li","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","first_name":"Xiang"},{"id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","first_name":"Enderalp","last_name":"Yakaboylu","full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874"},{"last_name":"Bighin","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87","first_name":"Giacomo","full_name":"Bighin, Giacomo","orcid":"0000-0001-8823-9777"},{"full_name":"Schmidt, Richard","first_name":"Richard","last_name":"Schmidt"},{"orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko"},{"orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","last_name":"Deuchert"}],"month":"04","oa_version":"Preprint","publisher":"AIP Publishing","year":"2020","isi":1,"article_type":"original","citation":{"apa":"Li, X., Yakaboylu, E., Bighin, G., Schmidt, R., Lemeshko, M., &#38; Deuchert, A. (2020). Intermolecular forces and correlations mediated by a phonon bath. <i>The Journal of Chemical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/1.5144759\">https://doi.org/10.1063/1.5144759</a>","chicago":"Li, Xiang, Enderalp Yakaboylu, Giacomo Bighin, Richard Schmidt, Mikhail Lemeshko, and Andreas Deuchert. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” <i>The Journal of Chemical Physics</i>. AIP Publishing, 2020. <a href=\"https://doi.org/10.1063/1.5144759\">https://doi.org/10.1063/1.5144759</a>.","ama":"Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. Intermolecular forces and correlations mediated by a phonon bath. <i>The Journal of Chemical Physics</i>. 2020;152(16). doi:<a href=\"https://doi.org/10.1063/1.5144759\">10.1063/1.5144759</a>","ieee":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, and A. Deuchert, “Intermolecular forces and correlations mediated by a phonon bath,” <i>The Journal of Chemical Physics</i>, vol. 152, no. 16. AIP Publishing, 2020.","mla":"Li, Xiang, et al. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” <i>The Journal of Chemical Physics</i>, vol. 152, no. 16, 164302, AIP Publishing, 2020, doi:<a href=\"https://doi.org/10.1063/1.5144759\">10.1063/1.5144759</a>.","ista":"Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. 2020. Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. 152(16), 164302.","short":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The Journal of Chemical Physics 152 (2020)."},"article_processing_charge":"No","date_published":"2020-04-27T00:00:00Z","_id":"8587","date_updated":"2026-04-08T07:26:09Z","date_created":"2020-09-30T10:33:17Z","oa":1},{"scopus_import":"1","type":"journal_article","quality_controlled":"1","volume":374,"has_accepted_license":"1","corr_author":"1","abstract":[{"text":"While Hartree–Fock theory is well established as a fundamental approximation for interacting fermions, it has been unclear how to describe corrections to it due to many-body correlations. In this paper we start from the Hartree–Fock state given by plane waves and introduce collective particle–hole pair excitations. These pairs can be approximately described by a bosonic quadratic Hamiltonian. We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type upper bound to the ground state energy. Our result justifies the random-phase approximation in the mean-field scaling regime, for repulsive, regular interaction potentials.\r\n","lang":"eng"}],"day":"01","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime","ddc":["530"],"publication":"Communications in Mathematical Physics","department":[{"_id":"RoSe"}],"file":[{"creator":"dernst","checksum":"f9dd6dd615a698f1d3636c4a092fed23","date_updated":"2020-07-14T12:47:35Z","file_name":"2019_CommMathPhysics_Benedikter.pdf","date_created":"2019-07-24T07:19:10Z","content_type":"application/pdf","access_level":"open_access","file_size":853289,"file_id":"6668","relation":"main_file"}],"ec_funded":1,"doi":"10.1007/s00220-019-03505-5","file_date_updated":"2020-07-14T12:47:35Z","project":[{"_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","name":"FWF Open Access Fund","call_identifier":"FWF"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","call_identifier":"FWF"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"page":"2097–2150","intvolume":"       374","arxiv":1,"external_id":{"isi":["000527910700019"],"arxiv":["1809.01902"]},"publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"status":"public","language":[{"iso":"eng"}],"isi":1,"year":"2020","article_type":"original","author":[{"orcid":"0000-0002-1071-6091","full_name":"Benedikter, Niels P","last_name":"Benedikter","first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Phan Thành","last_name":"Nam","full_name":"Nam, Phan Thành"},{"first_name":"Marcello","last_name":"Porta","full_name":"Porta, Marcello"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"publisher":"Springer Nature","oa_version":"Published Version","month":"03","date_created":"2019-07-18T13:30:04Z","date_updated":"2025-04-14T07:27:00Z","oa":1,"article_processing_charge":"No","citation":{"short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 374, 2097–2150.","mla":"Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” <i>Communications in Mathematical Physics</i>, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:<a href=\"https://doi.org/10.1007/s00220-019-03505-5\">10.1007/s00220-019-03505-5</a>.","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” <i>Communications in Mathematical Physics</i>, vol. 374. Springer Nature, pp. 2097–2150, 2020.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. <i>Communications in Mathematical Physics</i>. 2020;374:2097–2150. doi:<a href=\"https://doi.org/10.1007/s00220-019-03505-5\">10.1007/s00220-019-03505-5</a>","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s00220-019-03505-5\">https://doi.org/10.1007/s00220-019-03505-5</a>.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-019-03505-5\">https://doi.org/10.1007/s00220-019-03505-5</a>"},"date_published":"2020-03-01T00:00:00Z","_id":"6649"},{"abstract":[{"lang":"eng","text":"We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross–Pitaevskii (GP) limit where the trap frequency ω, the temperature T, and the particle number N are related by N∼ (T/ ω) 3→ ∞ while the scattering length is so small that the interaction energy per particle around the center of the trap is of the same order of magnitude as the spectral gap in the trap. We prove that the difference between the canonical free energy of the interacting gas and the one of the noninteracting system can be obtained by minimizing the GP energy functional. We also prove Bose–Einstein condensation in the following sense: The one-particle density matrix of any approximate minimizer of the canonical free energy functional is to leading order given by that of the noninteracting gas but with the free condensate wavefunction replaced by the GP minimizer."}],"has_accepted_license":"1","volume":368,"quality_controlled":"1","type":"journal_article","scopus_import":"1","file_date_updated":"2020-07-14T12:48:07Z","doi":"10.1007/s00220-018-3239-0","ec_funded":1,"file":[{"file_size":893902,"file_id":"5688","relation":"main_file","creator":"dernst","date_created":"2018-12-17T10:34:06Z","checksum":"c7e9880b43ac726712c1365e9f2f73a6","content_type":"application/pdf","date_updated":"2020-07-14T12:48:07Z","file_name":"2018_CommunMathPhys_Deuchert.pdf","access_level":"open_access"}],"department":[{"_id":"RoSe"}],"publication":"Communications in Mathematical Physics","title":"Bose–Einstein condensation in a dilute, trapped gas at positive temperature","ddc":["530"],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","day":"01","language":[{"iso":"eng"}],"status":"public","external_id":{"isi":["000467796800007"]},"issue":"2","intvolume":"       368","page":"723-776","project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"_id":"80","date_published":"2019-06-01T00:00:00Z","article_processing_charge":"Yes (via OA deal)","citation":{"short":"A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.","ista":"Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 368(2), 723–776.","ama":"Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. <i>Communications in Mathematical Physics</i>. 2019;368(2):723-776. doi:<a href=\"https://doi.org/10.1007/s00220-018-3239-0\">10.1007/s00220-018-3239-0</a>","mla":"Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” <i>Communications in Mathematical Physics</i>, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:<a href=\"https://doi.org/10.1007/s00220-018-3239-0\">10.1007/s00220-018-3239-0</a>.","ieee":"A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in a dilute, trapped gas at positive temperature,” <i>Communications in Mathematical Physics</i>, vol. 368, no. 2. Springer, pp. 723–776, 2019.","apa":"Deuchert, A., Seiringer, R., &#38; Yngvason, J. (2019). Bose–Einstein condensation in a dilute, trapped gas at positive temperature. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-018-3239-0\">https://doi.org/10.1007/s00220-018-3239-0</a>","chicago":"Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” <i>Communications in Mathematical Physics</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00220-018-3239-0\">https://doi.org/10.1007/s00220-018-3239-0</a>."},"oa":1,"date_created":"2018-12-11T11:44:31Z","publist_id":"7974","date_updated":"2025-04-14T07:27:00Z","publisher":"Springer","month":"06","oa_version":"Published Version","author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"}],"article_type":"original","isi":1,"year":"2019"},{"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"page":"3471–3508","intvolume":"        20","arxiv":1,"issue":"10","external_id":{"arxiv":["1807.06781"],"isi":["000487036900008"]},"status":"public","publication_identifier":{"issn":["1424-0637"],"eissn":["1424-0661"]},"language":[{"iso":"eng"}],"year":"2019","isi":1,"article_type":"original","author":[{"full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K","last_name":"Leopold"},{"full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P","last_name":"Petrat"}],"month":"10","publisher":"Springer Nature","oa_version":"Published Version","date_created":"2019-08-11T21:59:21Z","date_updated":"2025-04-14T07:27:00Z","oa":1,"citation":{"ama":"Leopold NK, Petrat SP. Mean-field dynamics for the Nelson model with fermions. <i>Annales Henri Poincare</i>. 2019;20(10):3471–3508. doi:<a href=\"https://doi.org/10.1007/s00023-019-00828-w\">10.1007/s00023-019-00828-w</a>","mla":"Leopold, Nikolai K., and Sören P. Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” <i>Annales Henri Poincare</i>, vol. 20, no. 10, Springer Nature, 2019, pp. 3471–3508, doi:<a href=\"https://doi.org/10.1007/s00023-019-00828-w\">10.1007/s00023-019-00828-w</a>.","ieee":"N. K. Leopold and S. P. Petrat, “Mean-field dynamics for the Nelson model with fermions,” <i>Annales Henri Poincare</i>, vol. 20, no. 10. Springer Nature, pp. 3471–3508, 2019.","apa":"Leopold, N. K., &#38; Petrat, S. P. (2019). Mean-field dynamics for the Nelson model with fermions. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-019-00828-w\">https://doi.org/10.1007/s00023-019-00828-w</a>","chicago":"Leopold, Nikolai K, and Sören P Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” <i>Annales Henri Poincare</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s00023-019-00828-w\">https://doi.org/10.1007/s00023-019-00828-w</a>.","short":"N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.","ista":"Leopold NK, Petrat SP. 2019. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 20(10), 3471–3508."},"article_processing_charge":"Yes (via OA deal)","date_published":"2019-10-01T00:00:00Z","_id":"6788","scopus_import":"1","quality_controlled":"1","type":"journal_article","volume":20,"corr_author":"1","has_accepted_license":"1","abstract":[{"text":"We consider the Nelson model with ultraviolet cutoff, which describes the interaction between non-relativistic particles and a positive or zero mass quantized scalar field. We take the non-relativistic particles to obey Fermi statistics and discuss the time evolution in a mean-field limit of many fermions. In this case, the limit is known to be also a semiclassical limit. We prove convergence in terms of reduced density matrices of the many-body state to a tensor product of a Slater determinant with semiclassical structure and a coherent state, which evolve according to a fermionic version of the Schrödinger–Klein–Gordon equations.","lang":"eng"}],"day":"01","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication":"Annales Henri Poincare","ddc":["510"],"title":"Mean-field dynamics for the Nelson model with fermions","department":[{"_id":"RoSe"}],"file":[{"file_id":"6801","relation":"main_file","file_size":681139,"date_updated":"2020-07-14T12:47:40Z","checksum":"b6dbf0d837d809293d449adf77138904","content_type":"application/pdf","date_created":"2019-08-12T12:05:58Z","file_name":"2019_AnnalesHenriPoincare_Leopold.pdf","access_level":"open_access","creator":"dernst"}],"ec_funded":1,"doi":"10.1007/s00023-019-00828-w","file_date_updated":"2020-07-14T12:47:40Z"},{"department":[{"_id":"RoSe"}],"ec_funded":1,"doi":"10.1088/1742-5468/ab190d","day":"13","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_status":"published","publication":"Journal of Statistical Mechanics: Theory and Experiment","title":"Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps","abstract":[{"text":"We discuss thermodynamic properties of harmonically trapped\r\nimperfect quantum gases. The spatial inhomogeneity of these systems imposes\r\na redefinition of the mean-field interparticle potential energy as compared\r\nto the homogeneous case. In our approach, it takes the form a\r\n2N2 ωd, where\r\nN is the number of particles, ω—the harmonic trap frequency, d—system’s\r\ndimensionality, and a is a parameter characterizing the interparticle interaction.\r\nWe provide arguments that this model corresponds to the limiting case of\r\na long-ranged interparticle potential of vanishingly small amplitude. This\r\nconclusion is drawn from a computation similar to the well-known Kac scaling\r\nprocedure, which is presented here in a form adapted to the case of an isotropic\r\nharmonic trap. We show that within the model, the imperfect gas of trapped\r\nrepulsive bosons undergoes the Bose–Einstein condensation provided d > 1.\r\nThe main result of our analysis is that in d = 1 the gas of attractive imperfect\r\nfermions with a = −aF < 0 is thermodynamically equivalent to the gas of\r\nrepulsive bosons with a = aB > 0 provided the parameters aF and aB fulfill\r\nthe relation aB + aF = \u001f. This result supplements similar recent conclusion\r\nabout thermodynamic equivalence of two-dimensional (2D) uniform imperfect\r\nrepulsive Bose and attractive Fermi gases.","lang":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1810.02209"}],"quality_controlled":"1","type":"journal_article","scopus_import":"1","volume":2019,"oa":1,"date_created":"2019-09-01T22:00:59Z","date_updated":"2025-03-31T16:01:18Z","citation":{"ista":"Mysliwy K, Napiórkowski M. 2019. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. 2019(6), 063101.","short":"K. Mysliwy, M. Napiórkowski, Journal of Statistical Mechanics: Theory and Experiment 2019 (2019).","apa":"Mysliwy, K., &#38; Napiórkowski, M. (2019). Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1742-5468/ab190d\">https://doi.org/10.1088/1742-5468/ab190d</a>","chicago":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing, 2019. <a href=\"https://doi.org/10.1088/1742-5468/ab190d\">https://doi.org/10.1088/1742-5468/ab190d</a>.","ama":"Mysliwy K, Napiórkowski M. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. 2019;2019(6). doi:<a href=\"https://doi.org/10.1088/1742-5468/ab190d\">10.1088/1742-5468/ab190d</a>","ieee":"K. Mysliwy and M. Napiórkowski, “Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps,” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2019, no. 6. IOP Publishing, 2019.","mla":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2019, no. 6, 063101, IOP Publishing, 2019, doi:<a href=\"https://doi.org/10.1088/1742-5468/ab190d\">10.1088/1742-5468/ab190d</a>."},"article_processing_charge":"No","_id":"6840","date_published":"2019-06-13T00:00:00Z","year":"2019","isi":1,"author":[{"full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof","last_name":"Mysliwy"},{"full_name":"Napiórkowski, Marek","last_name":"Napiórkowski","first_name":"Marek"}],"publisher":"IOP Publishing","month":"06","oa_version":"Preprint","external_id":{"isi":["000471650100001"],"arxiv":["1810.02209"]},"issue":"6","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1742-5468"]},"status":"public","project":[{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program"}],"intvolume":"      2019","article_number":"063101","arxiv":1},{"doi":"10.1103/physrevb.100.035127","ec_funded":1,"department":[{"_id":"RoSe"}],"publication":"Physical Review B","title":"Floating Wigner crystal with no boundary charge fluctuations","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"25","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1905.09138"}],"abstract":[{"text":"We modify the \"floating crystal\" trial state for the classical homogeneous electron gas (also known as jellium), in order to suppress the boundary charge fluctuations that are known to lead to a macroscopic increase of the energy. The argument is to melt a thin layer of the crystal close to the boundary and consequently replace it by an incompressible fluid. With the aid of this trial state we show that three different definitions of the ground-state energy of jellium coincide. In the first point of view the electrons are placed in a neutralizing uniform background. In the second definition there is no background but the electrons are submitted to the constraint that their density is constant, as is appropriate in density functional theory. Finally, in the third system each electron interacts with a periodic image of itself; that is, periodic boundary conditions are imposed on the interaction potential.","lang":"eng"}],"volume":100,"scopus_import":"1","quality_controlled":"1","type":"journal_article","date_published":"2019-07-25T00:00:00Z","_id":"7015","article_processing_charge":"No","citation":{"ista":"Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 100(3), 035127.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” <i>Physical Review B</i>. American Physical Society, 2019. <a href=\"https://doi.org/10.1103/physrevb.100.035127\">https://doi.org/10.1103/physrevb.100.035127</a>.","apa":"Lewin, M., Lieb, E. H., &#38; Seiringer, R. (2019). Floating Wigner crystal with no boundary charge fluctuations. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevb.100.035127\">https://doi.org/10.1103/physrevb.100.035127</a>","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Floating Wigner crystal with no boundary charge fluctuations,” <i>Physical Review B</i>, vol. 100, no. 3. American Physical Society, 2019.","mla":"Lewin, Mathieu, et al. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” <i>Physical Review B</i>, vol. 100, no. 3, 035127, American Physical Society, 2019, doi:<a href=\"https://doi.org/10.1103/physrevb.100.035127\">10.1103/physrevb.100.035127</a>.","ama":"Lewin M, Lieb EH, Seiringer R. Floating Wigner crystal with no boundary charge fluctuations. <i>Physical Review B</i>. 2019;100(3). doi:<a href=\"https://doi.org/10.1103/physrevb.100.035127\">10.1103/physrevb.100.035127</a>"},"date_created":"2019-11-13T08:41:48Z","date_updated":"2025-04-14T07:27:00Z","oa":1,"publisher":"American Physical Society","month":"07","oa_version":"Preprint","author":[{"first_name":"Mathieu","last_name":"Lewin","full_name":"Lewin, Mathieu"},{"last_name":"Lieb","first_name":"Elliott H.","full_name":"Lieb, Elliott H."},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer"}],"article_type":"original","isi":1,"year":"2019","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"status":"public","language":[{"iso":"eng"}],"issue":"3","external_id":{"isi":["000477888200001"],"arxiv":["1905.09138"]},"article_number":"035127","arxiv":1,"intvolume":"       100","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}]},{"oa":1,"date_created":"2019-11-25T08:08:02Z","date_updated":"2025-04-14T07:27:01Z","_id":"7100","date_published":"2019-11-08T00:00:00Z","citation":{"apa":"Jeblick, M., Leopold, N. K., &#38; Pickl, P. (2019). Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-019-03599-x\">https://doi.org/10.1007/s00220-019-03599-x</a>","chicago":"Jeblick, Maximilian, Nikolai K Leopold, and Peter Pickl. “Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s00220-019-03599-x\">https://doi.org/10.1007/s00220-019-03599-x</a>.","ama":"Jeblick M, Leopold NK, Pickl P. Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. <i>Communications in Mathematical Physics</i>. 2019;372(1):1-69. doi:<a href=\"https://doi.org/10.1007/s00220-019-03599-x\">10.1007/s00220-019-03599-x</a>","ieee":"M. Jeblick, N. K. Leopold, and P. Pickl, “Derivation of the time dependent Gross–Pitaevskii equation in two dimensions,” <i>Communications in Mathematical Physics</i>, vol. 372, no. 1. Springer Nature, pp. 1–69, 2019.","mla":"Jeblick, Maximilian, et al. “Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” <i>Communications in Mathematical Physics</i>, vol. 372, no. 1, Springer Nature, 2019, pp. 1–69, doi:<a href=\"https://doi.org/10.1007/s00220-019-03599-x\">10.1007/s00220-019-03599-x</a>.","ista":"Jeblick M, Leopold NK, Pickl P. 2019. Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. 372(1), 1–69.","short":"M. Jeblick, N.K. Leopold, P. Pickl, Communications in Mathematical Physics 372 (2019) 1–69."},"article_processing_charge":"Yes (via OA deal)","article_type":"original","isi":1,"year":"2019","publisher":"Springer Nature","oa_version":"Published Version","month":"11","author":[{"full_name":"Jeblick, Maximilian","last_name":"Jeblick","first_name":"Maximilian"},{"full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K"},{"first_name":"Peter","last_name":"Pickl","full_name":"Pickl, Peter"}],"external_id":{"isi":["000495193700002"]},"issue":"1","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"status":"public","page":"1-69","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"intvolume":"       372","file":[{"creator":"dernst","date_created":"2019-11-25T08:11:11Z","date_updated":"2020-07-14T12:47:49Z","file_name":"2019_CommMathPhys_Jeblick.pdf","content_type":"application/pdf","checksum":"cd283b475dd739e04655315abd46f528","access_level":"open_access","file_size":884469,"file_id":"7101","relation":"main_file"}],"ec_funded":1,"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:47:49Z","doi":"10.1007/s00220-019-03599-x","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","acknowledgement":"OA fund by IST Austria","day":"08","title":"Derivation of the time dependent Gross–Pitaevskii equation in two dimensions","ddc":["510"],"publication":"Communications in Mathematical Physics","abstract":[{"text":"We present microscopic derivations of the defocusing two-dimensional cubic nonlinear Schrödinger equation and the Gross–Pitaevskii equation starting froman interacting N-particle system of bosons. We consider the interaction potential to be given either by Wβ(x)=N−1+2βW(Nβx), for any β>0, or to be given by VN(x)=e2NV(eNx), for some spherical symmetric, nonnegative and compactly supported W,V∈L∞(R2,R). In both cases we prove the convergence of the reduced density corresponding to the exact time evolution to the projector onto the solution of the corresponding nonlinear Schrödinger equation in trace norm. For the latter potential VN we show that it is crucial to take the microscopic structure of the condensate into account in order to obtain the correct dynamics.","lang":"eng"}],"has_accepted_license":"1","corr_author":"1","volume":372,"type":"journal_article","quality_controlled":"1","scopus_import":"1"},{"external_id":{"isi":["000505529800002"]},"issue":"12","language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["0022-2488"]},"article_number":"123504","intvolume":"        60","oa":1,"date_created":"2020-01-05T23:00:46Z","date_updated":"2025-07-10T11:54:25Z","_id":"7226","date_published":"2019-12-01T00:00:00Z","citation":{"ieee":"V. Jaksic and R. Seiringer, “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018,” <i>Journal of Mathematical Physics</i>, vol. 60, no. 12. AIP Publishing, 2019.","mla":"Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” <i>Journal of Mathematical Physics</i>, vol. 60, no. 12, 123504, AIP Publishing, 2019, doi:<a href=\"https://doi.org/10.1063/1.5138135\">10.1063/1.5138135</a>.","ama":"Jaksic V, Seiringer R. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. <i>Journal of Mathematical Physics</i>. 2019;60(12). doi:<a href=\"https://doi.org/10.1063/1.5138135\">10.1063/1.5138135</a>","chicago":"Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2019. <a href=\"https://doi.org/10.1063/1.5138135\">https://doi.org/10.1063/1.5138135</a>.","apa":"Jaksic, V., &#38; Seiringer, R. (2019). Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/1.5138135\">https://doi.org/10.1063/1.5138135</a>","short":"V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).","ista":"Jaksic V, Seiringer R. 2019. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 60(12), 123504."},"article_processing_charge":"No","article_type":"letter_note","year":"2019","isi":1,"oa_version":"Published Version","month":"12","publisher":"AIP Publishing","author":[{"last_name":"Jaksic","first_name":"Vojkan","full_name":"Jaksic, Vojkan"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"has_accepted_license":"1","volume":60,"type":"journal_article","quality_controlled":"1","scopus_import":"1","file":[{"creator":"dernst","content_type":"application/pdf","file_name":"2019_JournalMathPhysics_Jaksic.pdf","checksum":"bbd12ad1999a9ad7ba4d3c6f2e579c22","date_created":"2020-01-07T14:59:13Z","date_updated":"2020-07-14T12:47:54Z","access_level":"open_access","file_size":1025015,"file_id":"7244","relation":"main_file"}],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:47:54Z","doi":"10.1063/1.5138135","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","day":"01","title":"Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018","ddc":["500"],"publication":"Journal of Mathematical Physics"},{"external_id":{"isi":["000495865300001"],"arxiv":["1801.01389"]},"issue":"2","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1871-2509"],"issn":["0001-5962"]},"status":"public","page":"219-335","intvolume":"       222","arxiv":1,"oa":1,"date_updated":"2023-09-06T15:24:31Z","date_created":"2020-01-30T09:30:41Z","citation":{"mla":"Boccato, Chiara, et al. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” <i>Acta Mathematica</i>, vol. 222, no. 2, International Press of Boston, 2019, pp. 219–335, doi:<a href=\"https://doi.org/10.4310/acta.2019.v222.n2.a1\">10.4310/acta.2019.v222.n2.a1</a>.","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Bogoliubov theory in the Gross–Pitaevskii limit,” <i>Acta Mathematica</i>, vol. 222, no. 2. International Press of Boston, pp. 219–335, 2019.","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. Bogoliubov theory in the Gross–Pitaevskii limit. <i>Acta Mathematica</i>. 2019;222(2):219-335. doi:<a href=\"https://doi.org/10.4310/acta.2019.v222.n2.a1\">10.4310/acta.2019.v222.n2.a1</a>","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” <i>Acta Mathematica</i>. International Press of Boston, 2019. <a href=\"https://doi.org/10.4310/acta.2019.v222.n2.a1\">https://doi.org/10.4310/acta.2019.v222.n2.a1</a>.","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., &#38; Schlein, B. (2019). Bogoliubov theory in the Gross–Pitaevskii limit. <i>Acta Mathematica</i>. International Press of Boston. <a href=\"https://doi.org/10.4310/acta.2019.v222.n2.a1\">https://doi.org/10.4310/acta.2019.v222.n2.a1</a>","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Acta Mathematica 222 (2019) 219–335.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2019. Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. 222(2), 219–335."},"article_processing_charge":"No","_id":"7413","date_published":"2019-06-07T00:00:00Z","isi":1,"year":"2019","article_type":"original","author":[{"last_name":"Boccato","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara","full_name":"Boccato, Chiara"},{"full_name":"Brennecke, Christian","first_name":"Christian","last_name":"Brennecke"},{"first_name":"Serena","last_name":"Cenatiempo","full_name":"Cenatiempo, Serena"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"}],"oa_version":"Preprint","publisher":"International Press of Boston","month":"06","abstract":[{"text":"We consider Bose gases consisting of N particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of order N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N→∞. Our results confirm Bogoliubov’s predictions.","lang":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1801.01389"}],"type":"journal_article","quality_controlled":"1","scopus_import":"1","volume":222,"department":[{"_id":"RoSe"}],"doi":"10.4310/acta.2019.v222.n2.a1","day":"07","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","title":"Bogoliubov theory in the Gross–Pitaevskii limit","publication":"Acta Mathematica"},{"year":"2019","author":[{"orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","last_name":"Deuchert"},{"last_name":"Mayer","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","first_name":"Simon","full_name":"Mayer, Simon"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"oa_version":"Preprint","month":"10","oa":1,"date_created":"2020-02-26T08:46:40Z","date_updated":"2026-04-08T07:25:40Z","article_processing_charge":"No","citation":{"apa":"Deuchert, A., Mayer, S., &#38; Seiringer, R. (n.d.). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.1910.03372\">https://doi.org/10.48550/arXiv.1910.03372</a>","chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.1910.03372\">https://doi.org/10.48550/arXiv.1910.03372</a>.","ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.1910.03372\">10.48550/arXiv.1910.03372</a>","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” <i>ArXiv</i>, 1910.03372, doi:<a href=\"https://doi.org/10.48550/arXiv.1910.03372\">10.48550/arXiv.1910.03372</a>.","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” <i>arXiv</i>. .","ista":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv, 1910.03372.","short":"A. Deuchert, S. Mayer, R. Seiringer, ArXiv (n.d.)."},"_id":"7524","date_published":"2019-10-08T00:00:00Z","page":"61","related_material":{"record":[{"id":"7790","relation":"later_version","status":"public"},{"status":"public","id":"7514","relation":"dissertation_contains"}]},"project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"}],"arxiv":1,"article_number":"1910.03372","external_id":{"arxiv":["1910.03372"]},"language":[{"iso":"eng"}],"status":"public","day":"08","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"draft","publication":"arXiv","title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","OA_place":"repository","department":[{"_id":"RoSe"}],"ec_funded":1,"doi":"10.48550/arXiv.1910.03372","OA_type":"green","type":"preprint","abstract":[{"text":"We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density $\\rho$ and inverse temperature $\\beta$ differs from the one of the non-interacting system by the correction term $4 \\pi \\rho^2 |\\ln a^2 \\rho|^{-1} (2 - [1 - \\beta_{\\mathrm{c}}/\\beta]_+^2)$. Here $a$ is the scattering length of the interaction potential, $[\\cdot]_+ = \\max\\{ 0, \\cdot \\}$ and $\\beta_{\\mathrm{c}}$ is the inverse Berezinskii--Kosterlitz--Thouless critical temperature for superfluidity. The result is valid in the dilute limit\r\n$a^2\\rho \\ll 1$ and if $\\beta \\rho \\gtrsim 1$.","lang":"eng"}],"corr_author":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.03372"}]},{"title":"Energy contribution of a point-interacting impurity in a Fermi gas","ddc":["530"],"publication":"Annales Henri Poincare","day":"01","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","doi":"10.1007/s00023-018-00757-0","file_date_updated":"2020-07-14T12:47:12Z","department":[{"_id":"RoSe"}],"ec_funded":1,"file":[{"date_created":"2019-01-28T15:27:17Z","date_updated":"2020-07-14T12:47:12Z","file_name":"2019_Annales_Moser.pdf","checksum":"255e42f957a8e2b10aad2499c750a8d6","content_type":"application/pdf","access_level":"open_access","creator":"dernst","file_id":"5894","relation":"main_file","file_size":859846}],"quality_controlled":"1","type":"journal_article","scopus_import":"1","volume":20,"abstract":[{"lang":"eng","text":"We give a bound on the ground-state energy of a system of N non-interacting fermions in a three-dimensional cubic box interacting with an impurity particle via point interactions. We show that the change in energy compared to the system in the absence of the impurity is bounded in terms of the gas density and the scattering length of the interaction, independently of N. Our bound holds as long as the ratio of the mass of the impurity to the one of the gas particles is larger than a critical value m∗ ∗≈ 0.36 , which is the same regime for which we recently showed stability of the system."}],"has_accepted_license":"1","author":[{"full_name":"Moser, Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","last_name":"Moser"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer"}],"publisher":"Springer","oa_version":"Published Version","month":"04","year":"2019","isi":1,"article_type":"original","article_processing_charge":"Yes (via OA deal)","citation":{"short":"T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.","ista":"Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.","ama":"Moser T, Seiringer R. Energy contribution of a point-interacting impurity in a Fermi gas. <i>Annales Henri Poincare</i>. 2019;20(4):1325–1365. doi:<a href=\"https://doi.org/10.1007/s00023-018-00757-0\">10.1007/s00023-018-00757-0</a>","ieee":"T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” <i>Annales Henri Poincare</i>, vol. 20, no. 4. Springer, pp. 1325–1365, 2019.","mla":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” <i>Annales Henri Poincare</i>, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:<a href=\"https://doi.org/10.1007/s00023-018-00757-0\">10.1007/s00023-018-00757-0</a>.","apa":"Moser, T., &#38; Seiringer, R. (2019). Energy contribution of a point-interacting impurity in a Fermi gas. <i>Annales Henri Poincare</i>. Springer. <a href=\"https://doi.org/10.1007/s00023-018-00757-0\">https://doi.org/10.1007/s00023-018-00757-0</a>","chicago":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” <i>Annales Henri Poincare</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00023-018-00757-0\">https://doi.org/10.1007/s00023-018-00757-0</a>."},"_id":"5856","date_published":"2019-04-01T00:00:00Z","oa":1,"date_updated":"2026-04-08T14:12:30Z","date_created":"2019-01-20T22:59:17Z","intvolume":"        20","arxiv":1,"page":"1325–1365","related_material":{"record":[{"relation":"dissertation_contains","id":"52","status":"public"}]},"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["1424-0637"]},"status":"public","external_id":{"arxiv":["1807.00739"],"isi":["000462444300008"]},"issue":"4"},{"language":[{"iso":"eng"}],"status":"public","external_id":{"arxiv":["1712.06218"],"isi":["000446491500008"]},"issue":"11","arxiv":1,"intvolume":"       108","page":"2523-2541","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","call_identifier":"FWF"}],"_id":"295","date_published":"2018-05-11T00:00:00Z","article_processing_charge":"No","citation":{"ista":"Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 108(11), 2523–2541.","short":"D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.","apa":"Lundholm, D., &#38; Seiringer, R. (2018). Fermionic behavior of ideal anyons. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-018-1091-y\">https://doi.org/10.1007/s11005-018-1091-y</a>","chicago":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” <i>Letters in Mathematical Physics</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s11005-018-1091-y\">https://doi.org/10.1007/s11005-018-1091-y</a>.","ama":"Lundholm D, Seiringer R. Fermionic behavior of ideal anyons. <i>Letters in Mathematical Physics</i>. 2018;108(11):2523-2541. doi:<a href=\"https://doi.org/10.1007/s11005-018-1091-y\">10.1007/s11005-018-1091-y</a>","mla":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” <i>Letters in Mathematical Physics</i>, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:<a href=\"https://doi.org/10.1007/s11005-018-1091-y\">10.1007/s11005-018-1091-y</a>.","ieee":"D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” <i>Letters in Mathematical Physics</i>, vol. 108, no. 11. Springer, pp. 2523–2541, 2018."},"oa":1,"date_updated":"2025-04-14T07:26:59Z","publist_id":"7586","date_created":"2018-12-11T11:45:40Z","publisher":"Springer","oa_version":"Published Version","month":"05","author":[{"full_name":"Lundholm, Douglas","last_name":"Lundholm","first_name":"Douglas"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"isi":1,"year":"2018","abstract":[{"lang":"eng","text":"We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter (Formula presented.). The lower bounds extend to Lieb–Thirring inequalities for all anyons except bosons."}],"has_accepted_license":"1","volume":108,"type":"journal_article","quality_controlled":"1","scopus_import":"1","file_date_updated":"2020-07-14T12:45:55Z","doi":"10.1007/s11005-018-1091-y","file":[{"file_size":551996,"relation":"main_file","file_id":"5698","creator":"dernst","access_level":"open_access","date_updated":"2020-07-14T12:45:55Z","date_created":"2018-12-17T12:14:17Z","content_type":"application/pdf","checksum":"8beb9632fa41bbd19452f55f31286a31","file_name":"2018_LettMathPhys_Lundholm.pdf"}],"ec_funded":1,"department":[{"_id":"RoSe"}],"title":"Fermionic behavior of ideal anyons","publication":"Letters in Mathematical Physics","ddc":["510"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","day":"11","acknowledgement":"Financial support from the Swedish Research Council, grant no. 2013-4734 (D. L.), the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 694227, R. S.), and by the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R. S.), is gratefully acknowledged."},{"day":"01","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European\r\nUnion’s Horizon 2020 research and innovation programme (grant agreement 694227 for R.S. and MDFT 725528 for M.L.). Financial support by the Austrian Science Fund (FWF), project No P 27533-N27 (R.S.) and by the US National Science Foundation, grant No PHY12-1265118 (E.H.L.) are gratefully acknowledged.","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","tmp":{"image":"/image/cc_by_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","short":"CC BY-ND (4.0)"},"publication":"Journal de l'Ecole Polytechnique - Mathematiques","title":"Statistical mechanics of the uniform electron gas","ddc":["510"],"department":[{"_id":"RoSe"}],"ec_funded":1,"file":[{"file_id":"5726","relation":"main_file","file_size":843938,"date_updated":"2020-07-14T12:45:16Z","date_created":"2018-12-17T16:38:18Z","file_name":"2018_JournaldeLecoleMath_Lewi.pdf","content_type":"application/pdf","checksum":"1ba7cccdf3900f42c4f715ae75d6813c","access_level":"open_access","creator":"dernst"}],"license":"https://creativecommons.org/licenses/by-nd/4.0/","doi":"10.5802/jep.64","file_date_updated":"2020-07-14T12:45:16Z","scopus_import":"1","quality_controlled":"1","type":"journal_article","volume":5,"has_accepted_license":"1","abstract":[{"lang":"eng","text":"In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined differently from Jellium, which has a positive constant background but no constraint on the density. We prove that the UEG arises in Density Functional Theory in the limit of a slowly varying density, minimizing the indirect Coulomb energy. We also construct the quantum UEG and compare it to the classical UEG at low density."}],"year":"2018","article_type":"original","author":[{"full_name":"Lewi, Mathieu","first_name":"Mathieu","last_name":"Lewi"},{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"publisher":"Ecole Polytechnique","oa_version":"Published Version","month":"07","date_created":"2018-12-11T11:45:03Z","publist_id":"7741","date_updated":"2025-04-14T07:26:59Z","oa":1,"citation":{"ista":"Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116.","short":"M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.","apa":"Lewi, M., Lieb, É., &#38; Seiringer, R. (2018). Statistical mechanics of the uniform electron gas. <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. Ecole Polytechnique. <a href=\"https://doi.org/10.5802/jep.64\">https://doi.org/10.5802/jep.64</a>","chicago":"Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics of the Uniform Electron Gas.” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. Ecole Polytechnique, 2018. <a href=\"https://doi.org/10.5802/jep.64\">https://doi.org/10.5802/jep.64</a>.","ama":"Lewi M, Lieb É, Seiringer R. Statistical mechanics of the uniform electron gas. <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. 2018;5:79-116. doi:<a href=\"https://doi.org/10.5802/jep.64\">10.5802/jep.64</a>","mla":"Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:<a href=\"https://doi.org/10.5802/jep.64\">10.5802/jep.64</a>.","ieee":"M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform electron gas,” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>, vol. 5. Ecole Polytechnique, pp. 79–116, 2018."},"article_processing_charge":"No","date_published":"2018-07-01T00:00:00Z","_id":"180","project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"},{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"page":"79 - 116","intvolume":"         5","arxiv":1,"external_id":{"arxiv":["1705.10676"]},"publication_identifier":{"eissn":["2270-518X"],"issn":["2429-7100"]},"status":"public","language":[{"iso":"eng"}]},{"doi":"10.1007/978-3-030-01602-9_9","ec_funded":1,"department":[{"_id":"RoSe"}],"title":"Mean-field limits of particles in interaction with quantised radiation fields","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","day":"27","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1806.10843"}],"abstract":[{"lang":"eng","text":"We report on a novel strategy to derive mean-field limits of quantum mechanical systems in which a large number of particles weakly couple to a second-quantized radiation field. The technique combines the method of counting and the coherent state approach to study the growth of the correlations among the particles and in the radiation field. As an instructional example, we derive the Schrödinger–Klein–Gordon system of equations from the Nelson model with ultraviolet cutoff and possibly massless scalar field. In particular, we prove the convergence of the reduced density matrices (of the nonrelativistic particles and the field bosons) associated with the exact time evolution to the projectors onto the solutions of the Schrödinger–Klein–Gordon equations in trace norm. Furthermore, we derive explicit bounds on the rate of convergence of the one-particle reduced density matrix of the nonrelativistic particles in Sobolev norm."}],"volume":270,"quality_controlled":"1","type":"conference","scopus_import":1,"_id":"11","date_published":"2018-10-27T00:00:00Z","citation":{"chicago":"Leopold, Nikolai K, and Peter Pickl. “Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields,” 270:185–214. Springer, 2018. <a href=\"https://doi.org/10.1007/978-3-030-01602-9_9\">https://doi.org/10.1007/978-3-030-01602-9_9</a>.","apa":"Leopold, N. K., &#38; Pickl, P. (2018). Mean-field limits of particles in interaction with quantised radiation fields (Vol. 270, pp. 185–214). Presented at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany: Springer. <a href=\"https://doi.org/10.1007/978-3-030-01602-9_9\">https://doi.org/10.1007/978-3-030-01602-9_9</a>","ieee":"N. K. Leopold and P. Pickl, “Mean-field limits of particles in interaction with quantised radiation fields,” presented at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany, 2018, vol. 270, pp. 185–214.","mla":"Leopold, Nikolai K., and Peter Pickl. <i>Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields</i>. Vol. 270, Springer, 2018, pp. 185–214, doi:<a href=\"https://doi.org/10.1007/978-3-030-01602-9_9\">10.1007/978-3-030-01602-9_9</a>.","ama":"Leopold NK, Pickl P. Mean-field limits of particles in interaction with quantised radiation fields. In: Vol 270. Springer; 2018:185-214. doi:<a href=\"https://doi.org/10.1007/978-3-030-01602-9_9\">10.1007/978-3-030-01602-9_9</a>","ista":"Leopold NK, Pickl P. 2018. Mean-field limits of particles in interaction with quantised radiation fields. MaLiQS: Macroscopic Limits of Quantum Systems vol. 270, 185–214.","short":"N.K. Leopold, P. Pickl, in:, Springer, 2018, pp. 185–214."},"oa":1,"date_created":"2018-12-11T11:44:08Z","date_updated":"2021-01-12T06:48:16Z","publist_id":"8045","publisher":"Springer","month":"10","oa_version":"Preprint","author":[{"last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822"},{"full_name":"Pickl, Peter","first_name":"Peter","last_name":"Pickl"}],"year":"2018","conference":{"end_date":"2017-04-01","start_date":"2017-03-30","name":"MaLiQS: Macroscopic Limits of Quantum Systems","location":"Munich, Germany"},"language":[{"iso":"eng"}],"status":"public","external_id":{"arxiv":["1806.10843"]},"arxiv":1,"intvolume":"       270","page":"185 - 214","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}]},{"publication_identifier":{"issn":["0010-3616"]},"status":"public","language":[{"iso":"eng"}],"issue":"1","external_id":{"arxiv":["1511.05953"]},"intvolume":"       360","arxiv":1,"project":[{"call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"page":"347-403","article_processing_charge":"No","citation":{"apa":"Napiórkowski, M. M., Reuvers, R., &#38; Solovej, J. (2018). The Bogoliubov free energy functional II: The dilute Limit. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-017-3064-x\">https://doi.org/10.1007/s00220-017-3064-x</a>","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” <i>Communications in Mathematical Physics</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s00220-017-3064-x\">https://doi.org/10.1007/s00220-017-3064-x</a>.","ama":"Napiórkowski MM, Reuvers R, Solovej J. The Bogoliubov free energy functional II: The dilute Limit. <i>Communications in Mathematical Physics</i>. 2018;360(1):347-403. doi:<a href=\"https://doi.org/10.1007/s00220-017-3064-x\">10.1007/s00220-017-3064-x</a>","mla":"Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” <i>Communications in Mathematical Physics</i>, vol. 360, no. 1, Springer, 2018, pp. 347–403, doi:<a href=\"https://doi.org/10.1007/s00220-017-3064-x\">10.1007/s00220-017-3064-x</a>.","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “The Bogoliubov free energy functional II: The dilute Limit,” <i>Communications in Mathematical Physics</i>, vol. 360, no. 1. Springer, pp. 347–403, 2018.","ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. 360(1), 347–403.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, Communications in Mathematical Physics 360 (2018) 347–403."},"date_published":"2018-05-01T00:00:00Z","_id":"554","date_created":"2018-12-11T11:47:09Z","date_updated":"2025-07-10T11:52:52Z","publist_id":"7260","oa":1,"author":[{"last_name":"Napiórkowski","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M"},{"full_name":"Reuvers, Robin","last_name":"Reuvers","first_name":"Robin"},{"full_name":"Solovej, Jan","last_name":"Solovej","first_name":"Jan"}],"oa_version":"Submitted Version","month":"05","publisher":"Springer","year":"2018","abstract":[{"lang":"eng","text":"We analyse the canonical Bogoliubov free energy functional in three dimensions at low temperatures in the dilute limit. We prove existence of a first-order phase transition and, in the limit (Formula presented.), we determine the critical temperature to be (Formula presented.) to leading order. Here, (Formula presented.) is the critical temperature of the free Bose gas, ρ is the density of the gas and a is the scattering length of the pair-interaction potential V. We also prove asymptotic expansions for the free energy. In particular, we recover the Lee–Huang–Yang formula in the limit (Formula presented.)."}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.05953"}],"scopus_import":"1","type":"journal_article","quality_controlled":"1","volume":360,"doi":"10.1007/s00220-017-3064-x","department":[{"_id":"RoSe"}],"title":"The Bogoliubov free energy functional II: The dilute Limit","publication":"Communications in Mathematical Physics","day":"01","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"scopus_import":"1","quality_controlled":"1","type":"journal_article","volume":98,"abstract":[{"text":"We study a quantum impurity possessing both translational and internal rotational degrees of freedom interacting with a bosonic bath. Such a system corresponds to a “rotating polaron,” which can be used to model, e.g., a rotating molecule immersed in an ultracold Bose gas or superfluid helium. We derive the Hamiltonian of the rotating polaron and study its spectrum in the weak- and strong-coupling regimes using a combination of variational, diagrammatic, and mean-field approaches. We reveal how the coupling between linear and angular momenta affects stable quasiparticle states, and demonstrate that internal rotation leads to an enhanced self-localization in the translational degrees of freedom.","lang":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1809.01204"}],"publication":"Physical Review B","title":"Theory of the rotating polaron: Spectrum and self-localization","day":"12","publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","doi":"10.1103/physrevb.98.224506","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"ec_funded":1,"intvolume":"        98","arxiv":1,"article_number":"224506","project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"status":"public","language":[{"iso":"eng"}],"issue":"22","external_id":{"isi":["000452992700008"],"arxiv":["1809.01204"]},"author":[{"last_name":"Yakaboylu","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","first_name":"Enderalp","full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874"},{"last_name":"Midya","first_name":"Bikashkali","id":"456187FC-F248-11E8-B48F-1D18A9856A87","full_name":"Midya, Bikashkali"},{"full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Deuchert"},{"full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K"},{"orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko"}],"month":"12","publisher":"American Physical Society","oa_version":"Preprint","isi":1,"year":"2018","article_processing_charge":"No","citation":{"apa":"Yakaboylu, E., Midya, B., Deuchert, A., Leopold, N. K., &#38; Lemeshko, M. (2018). Theory of the rotating polaron: Spectrum and self-localization. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevb.98.224506\">https://doi.org/10.1103/physrevb.98.224506</a>","chicago":"Yakaboylu, Enderalp, Bikashkali Midya, Andreas Deuchert, Nikolai K Leopold, and Mikhail Lemeshko. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” <i>Physical Review B</i>. American Physical Society, 2018. <a href=\"https://doi.org/10.1103/physrevb.98.224506\">https://doi.org/10.1103/physrevb.98.224506</a>.","ama":"Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. Theory of the rotating polaron: Spectrum and self-localization. <i>Physical Review B</i>. 2018;98(22). doi:<a href=\"https://doi.org/10.1103/physrevb.98.224506\">10.1103/physrevb.98.224506</a>","ieee":"E. Yakaboylu, B. Midya, A. Deuchert, N. K. Leopold, and M. Lemeshko, “Theory of the rotating polaron: Spectrum and self-localization,” <i>Physical Review B</i>, vol. 98, no. 22. American Physical Society, 2018.","mla":"Yakaboylu, Enderalp, et al. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” <i>Physical Review B</i>, vol. 98, no. 22, 224506, American Physical Society, 2018, doi:<a href=\"https://doi.org/10.1103/physrevb.98.224506\">10.1103/physrevb.98.224506</a>.","ista":"Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. 2018. Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. 98(22), 224506.","short":"E. Yakaboylu, B. Midya, A. Deuchert, N.K. Leopold, M. Lemeshko, Physical Review B 98 (2018)."},"date_published":"2018-12-12T00:00:00Z","_id":"5983","date_created":"2019-02-14T10:37:09Z","date_updated":"2025-04-14T07:26:59Z","oa":1}]