[{"date_updated":"2025-09-30T12:23:41Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"DOAJ_listed":"1","title":"Criticality transition for positive powers of the discrete Laplacian on the half line","oa":1,"day":"23","month":"01","ddc":["510"],"type":"journal_article","volume":41,"acknowledgement":"We are grateful to Petr Siegl for a helpful suggestion leading to Hardy weights with the expected optimal decay rate.\r\nThe authors acknowledge the support of the EXPRO grant no. 20-17749X of the Czech Science Foundation.\r\n","article_type":"original","page":"1173-1200","license":"https://creativecommons.org/licenses/by/4.0/","date_created":"2025-05-04T22:02:32Z","arxiv":1,"language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"file":[{"file_id":"19656","file_size":555474,"checksum":"90031b93459af54a6e63ddf2818c6f42","content_type":"application/pdf","relation":"main_file","file_name":"2025_RevistaMat_Gerhat.pdf","creator":"dernst","date_updated":"2025-05-05T11:38:34Z","success":1,"access_level":"open_access","date_created":"2025-05-05T11:38:34Z"}],"file_date_updated":"2025-05-05T11:38:34Z","scopus_import":"1","OA_place":"publisher","corr_author":"1","has_accepted_license":"1","publisher":"EMS Press","publication_identifier":{"eissn":["2235-0616"],"issn":["0213-2230"]},"year":"2025","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","_id":"19642","OA_type":"gold","citation":{"apa":"Gerhát, B. M., Krejčiřík, D., & Štampach, F. (2025). Criticality transition for positive powers of the discrete Laplacian on the half line. Revista Matematica Iberoamericana. EMS Press. https://doi.org/10.4171/RMI/1523","ista":"Gerhát BM, Krejčiřík D, Štampach F. 2025. Criticality transition for positive powers of the discrete Laplacian on the half line. Revista Matematica Iberoamericana. 41(3), 1173–1200.","ieee":"B. M. Gerhát, D. Krejčiřík, and F. Štampach, “Criticality transition for positive powers of the discrete Laplacian on the half line,” Revista Matematica Iberoamericana, vol. 41, no. 3. EMS Press, pp. 1173–1200, 2025.","chicago":"Gerhát, Borbála M, David Krejčiřík, and František Štampach. “Criticality Transition for Positive Powers of the Discrete Laplacian on the Half Line.” Revista Matematica Iberoamericana. EMS Press, 2025. https://doi.org/10.4171/RMI/1523.","mla":"Gerhát, Borbála M., et al. “Criticality Transition for Positive Powers of the Discrete Laplacian on the Half Line.” Revista Matematica Iberoamericana, vol. 41, no. 3, EMS Press, 2025, pp. 1173–200, doi:10.4171/RMI/1523.","short":"B.M. Gerhát, D. Krejčiřík, F. Štampach, Revista Matematica Iberoamericana 41 (2025) 1173–1200.","ama":"Gerhát BM, Krejčiřík D, Štampach F. Criticality transition for positive powers of the discrete Laplacian on the half line. Revista Matematica Iberoamericana. 2025;41(3):1173-1200. doi:10.4171/RMI/1523"},"external_id":{"isi":["001476507600013"],"arxiv":["2307.09919"]},"article_processing_charge":"Yes","publication":"Revista Matematica Iberoamericana","date_published":"2025-01-23T00:00:00Z","fulldoi":"https://doi.org/10.4171/RMI/1523","oa_version":"Published Version","isi":1,"issue":"3","publication_status":"published","author":[{"first_name":"Borbála M","last_name":"Gerhát","full_name":"Gerhát, Borbála M","id":"00ffceaa-f31d-11ee-93bd-f7e13e61af5e"},{"last_name":"Krejčiřík","full_name":"Krejčiřík, David","first_name":"David"},{"full_name":"Štampach, František","last_name":"Štampach","first_name":"František"}],"intvolume":" 41","abstract":[{"lang":"eng","text":"We study the criticality and subcriticality of powers (−Δ) α with α>0 of the discrete Laplacian −Δ acting on ℓ 2 (N). We prove that these positive powers of the Laplacian are critical if and only if α≥3/2. We complement our analysis with Hardy-type inequalities for (−Δ) α in the subcritical regimes α∈(0,3/2). As an illustration of the critical case α≥3/2, we analyze asymptotic properties of discrete eigenvalues emerging by coupling (−Δ) α with a localized potential."}],"doi":"10.4171/RMI/1523","quality_controlled":"1"},{"title":"The weakly coupled two-dimensional Fermi polaron","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-09-30T12:25:19Z","day":"01","oa":1,"file":[{"file_size":886318,"file_id":"19676","checksum":"3606ebd34d59d03f8c66a3a1794c3e4f","content_type":"application/pdf","relation":"main_file","file_name":"2025_ArchiveRatioMechanics_Mitrouskas.pdf","creator":"dernst","date_updated":"2025-05-12T07:27:28Z","success":1,"access_level":"open_access","date_created":"2025-05-12T07:27:28Z"}],"department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"date_created":"2025-05-11T22:02:37Z","volume":249,"acknowledgement":"The author would like to thank Ulrich Linden for introducing him to the Fermi polaron and for his valuable contributions in the early stages of this project. Additionally, the author is grateful to Krzysztof Myśliwy for helpful comments. Open access funding provided by Institute of Science and Technology (IST Austria).","article_type":"original","month":"06","ddc":["530"],"type":"journal_article","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"publisher":"Springer Nature","has_accepted_license":"1","corr_author":"1","OA_place":"publisher","file_date_updated":"2025-05-12T07:27:28Z","scopus_import":"1","OA_type":"hybrid","_id":"19660","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","year":"2025","article_number":"30","publication":"Archive for Rational Mechanics and Analysis","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["001482770500001"]},"citation":{"ista":"Mitrouskas DJ. 2025. The weakly coupled two-dimensional Fermi polaron. Archive for Rational Mechanics and Analysis. 249(3), 30.","ieee":"D. J. Mitrouskas, “The weakly coupled two-dimensional Fermi polaron,” Archive for Rational Mechanics and Analysis, vol. 249, no. 3. Springer Nature, 2025.","apa":"Mitrouskas, D. J. (2025). The weakly coupled two-dimensional Fermi polaron. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-025-02098-9","short":"D.J. Mitrouskas, Archive for Rational Mechanics and Analysis 249 (2025).","chicago":"Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.” Archive for Rational Mechanics and Analysis. Springer Nature, 2025. https://doi.org/10.1007/s00205-025-02098-9.","mla":"Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.” Archive for Rational Mechanics and Analysis, vol. 249, no. 3, 30, Springer Nature, 2025, doi:10.1007/s00205-025-02098-9.","ama":"Mitrouskas DJ. The weakly coupled two-dimensional Fermi polaron. Archive for Rational Mechanics and Analysis. 2025;249(3). doi:10.1007/s00205-025-02098-9"},"intvolume":" 249","abstract":[{"text":"We analyze the ground state energy of N fermions in a two-dimensional box interacting with an impurity particle via two-body point interactions. We show that for weak coupling, the ground state energy is asymptotically described by the polaron energy, as proposed by F. Chevy in the physics literature. The polaron energy is the solution of a nonlinear equation involving the Green’s function of the free Fermi gas and the binding energy of the two-body point interaction. We provide quantitative error estimates that are uniform in the thermodynamic limit.","lang":"eng"}],"author":[{"first_name":"David Johannes","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"}],"issue":"3","publication_status":"published","oa_version":"Published Version","fulldoi":"https://doi.org/10.1007/s00205-025-02098-9","isi":1,"date_published":"2025-06-01T00:00:00Z","quality_controlled":"1","doi":"10.1007/s00205-025-02098-9"},{"OA_type":"hybrid","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","_id":"19661","year":"2025","article_number":"175201","publication":"Journal of Physics A: Mathematical and Theoretical","external_id":{"arxiv":["2412.01670"],"isi":["001474094200001"]},"article_processing_charge":"Yes (in subscription journal)","citation":{"chicago":"Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson Model in the Weak Coupling Limit.” Journal of Physics A: Mathematical and Theoretical. IOP Publishing, 2025. https://doi.org/10.1088/1751-8121/adcdd9.","mla":"Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson Model in the Weak Coupling Limit.” Journal of Physics A: Mathematical and Theoretical, vol. 58, no. 17, 175201, IOP Publishing, 2025, doi:10.1088/1751-8121/adcdd9.","short":"E. Cárdenas, D.J. Mitrouskas, Journal of Physics A: Mathematical and Theoretical 58 (2025).","ieee":"E. Cárdenas and D. J. Mitrouskas, “The renormalized Nelson model in the weak coupling limit,” Journal of Physics A: Mathematical and Theoretical, vol. 58, no. 17. IOP Publishing, 2025.","apa":"Cárdenas, E., & Mitrouskas, D. J. (2025). The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. IOP Publishing. https://doi.org/10.1088/1751-8121/adcdd9","ista":"Cárdenas E, Mitrouskas DJ. 2025. The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. 58(17), 175201.","ama":"Cárdenas E, Mitrouskas DJ. The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. 2025;58(17). doi:10.1088/1751-8121/adcdd9"},"intvolume":" 58","abstract":[{"text":"The Nelson model describes non-relativistic particles coupled to a relativistic Bose scalar field. In this article, we study the renormalized version of the Nelson model with massless bosons in Davies' weak coupling limit. Our main result states that the two-body Coulomb potential emerges as an effective pair interaction between the particles, which arises from the exchange of virtual excitations of the quantum field.","lang":"eng"}],"publication_status":"published","author":[{"last_name":"Cárdenas","full_name":"Cárdenas, Esteban","first_name":"Esteban"},{"last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes"}],"issue":"17","fulldoi":"https://doi.org/10.1088/1751-8121/adcdd9","oa_version":"Published Version","isi":1,"date_published":"2025-04-28T00:00:00Z","doi":"10.1088/1751-8121/adcdd9","quality_controlled":"1","title":"The renormalized Nelson model in the weak coupling limit","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-09-30T12:24:45Z","day":"28","oa":1,"file":[{"date_created":"2025-05-12T07:13:07Z","access_level":"open_access","success":1,"date_updated":"2025-05-12T07:13:07Z","creator":"dernst","file_name":"2025_JourPhysicsA_Cardenas.pdf","relation":"main_file","content_type":"application/pdf","checksum":"a181e1c2d8df08eb683a355e81c5e85a","file_size":551190,"file_id":"19675"}],"language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"RoSe"}],"volume":58,"article_type":"original","acknowledgement":"D M thanks Nataˇsa Pavlovi´c for the invitation to the University of Texas at Austin and for the\r\nhospitality offered by the department, where part of this work was performed. E C gratefully\r\nacknowledges support from NSF under Grant Nos DMS-2009549 and DMS-2052789 through\r\nNataˇsa Pavlovi´","date_created":"2025-05-11T22:02:37Z","month":"04","type":"journal_article","ddc":["530"],"publication_identifier":{"issn":["1751-8113"],"eissn":["1751-8121"]},"publisher":"IOP Publishing","has_accepted_license":"1","scopus_import":"1","file_date_updated":"2025-05-12T07:13:07Z","OA_place":"publisher","corr_author":"1"},{"day":"01","oa":1,"title":"Virtual bound states of the Pauli operator with an Aharonov–Bohm potential","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2026-05-06T13:03:25Z","APC_amount":"2320,48 EUR","ec_funded":1,"publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"publisher":"World Scientific Publishing","has_accepted_license":"1","OA_place":"publisher","file_date_updated":"2025-12-30T08:23:12Z","scopus_import":"1","file":[{"content_type":"application/pdf","relation":"main_file","file_size":484646,"file_id":"20893","checksum":"559d97ee2da28bf0bd2c6af507f3a914","success":1,"date_updated":"2025-12-30T08:23:12Z","date_created":"2025-12-30T08:23:12Z","access_level":"open_access","file_name":"2025_ReviewsMathPhysics_Fialova.pdf","creator":"dernst"}],"department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"arxiv":1,"date_created":"2025-05-18T22:02:51Z","volume":37,"article_type":"original","acknowledgement":"Thanks belong to Johannes Ageskov and Matˇej Tuˇsek for helpful discussions on some technical details. M. F. would further like to acknowledge support for research on this paper from the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 101034413 as well as support by funding from Villum Fonden through the QMATH Centreof Excellence Grant No. 10059. D. K. was supported by the EXPRO Grant No.20-17749X of the Czech Science Foundation (GACR).","ddc":["530","510"],"month":"07","type":"journal_article","article_number":"2550011","publication":"Reviews in Mathematical Physics","article_processing_charge":"Yes (in subscription journal)","PlanS_conform":"1","external_id":{"isi":["001481012500001"],"arxiv":["2501.17029"]},"citation":{"ama":"Fialova M, Krejčiřík D. Virtual bound states of the Pauli operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics. 2025;37(6). doi:10.1142/S0129055X25500114","apa":"Fialova, M., & Krejčiřík, D. (2025). Virtual bound states of the Pauli operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X25500114","ista":"Fialova M, Krejčiřík D. 2025. Virtual bound states of the Pauli operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics. 37(6), 2550011.","ieee":"M. Fialova and D. Krejčiřík, “Virtual bound states of the Pauli operator with an Aharonov–Bohm potential,” Reviews in Mathematical Physics, vol. 37, no. 6. World Scientific Publishing, 2025.","mla":"Fialova, Marie, and David Krejčiřík. “Virtual Bound States of the Pauli Operator with an Aharonov–Bohm Potential.” Reviews in Mathematical Physics, vol. 37, no. 6, 2550011, World Scientific Publishing, 2025, doi:10.1142/S0129055X25500114.","chicago":"Fialova, Marie, and David Krejčiřík. “Virtual Bound States of the Pauli Operator with an Aharonov–Bohm Potential.” Reviews in Mathematical Physics. World Scientific Publishing, 2025. https://doi.org/10.1142/S0129055X25500114.","short":"M. Fialova, D. Krejčiřík, Reviews in Mathematical Physics 37 (2025)."},"OA_type":"hybrid","_id":"19705","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2025","quality_controlled":"1","doi":"10.1142/S0129055X25500114","intvolume":" 37","abstract":[{"text":"A maximal realization of the two-dimensional Pauli operator, subject to Aharonov–Bohm magnetic field, is investigated. Contrary to the case of the Pauli operator with regular magnetic potentials, it is shown that both components of the Pauli operator are critical. Asymptotics of the weakly coupled eigenvalues, generated by electric (not necessarily self-adjoint) perturbations, are derived.","lang":"eng"}],"issue":"6","publication_status":"published","author":[{"first_name":"Marie","last_name":"Fialova","full_name":"Fialova, Marie","id":"e9c9844d-9e21-11ec-b482-f96fc09f7c4d"},{"last_name":"Krejčiřík","full_name":"Krejčiřík, David","first_name":"David"}],"fulldoi":"https://doi.org/10.1142/S0129055X25500114","oa_version":"Published Version","project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","call_identifier":"H2020","grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program"}],"date_published":"2025-07-01T00:00:00Z","isi":1},{"DOAJ_listed":"1","title":"Renormalized Bogoliubov theory for the Nelson model","date_updated":"2025-12-30T07:31:09Z","day":"06","oa":1,"language":[{"iso":"eng"}],"arxiv":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2305.06722","open_access":"1"}],"department":[{"_id":"RoSe"}],"article_type":"original","date_created":"2025-07-21T07:59:16Z","month":"05","type":"journal_article","publication_identifier":{"eissn":["1873-1430"],"issn":["0294-1449"]},"publisher":"EMS Press","OA_place":"repository","OA_type":"green","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"20045","year":"2025","publication":"Annales de l'Institut Henri Poincaré C","external_id":{"arxiv":["2305.06722"]},"article_processing_charge":"No","citation":{"short":"M. Falconi, J. Lampart, N. Leopold, D.J. Mitrouskas, Annales de l’Institut Henri Poincaré C (2025).","chicago":"Falconi, Marco, Jonas Lampart, Nikolai Leopold, and David Johannes Mitrouskas. “Renormalized Bogoliubov Theory for the Nelson Model.” Annales de l’Institut Henri Poincaré C. EMS Press, 2025. https://doi.org/10.4171/aihpc/154.","mla":"Falconi, Marco, et al. “Renormalized Bogoliubov Theory for the Nelson Model.” Annales de l’Institut Henri Poincaré C, EMS Press, 2025, doi:10.4171/aihpc/154.","ista":"Falconi M, Lampart J, Leopold N, Mitrouskas DJ. 2025. Renormalized Bogoliubov theory for the Nelson model. Annales de l’Institut Henri Poincaré C.","apa":"Falconi, M., Lampart, J., Leopold, N., & Mitrouskas, D. J. (2025). Renormalized Bogoliubov theory for the Nelson model. Annales de l’Institut Henri Poincaré C. EMS Press. https://doi.org/10.4171/aihpc/154","ieee":"M. Falconi, J. Lampart, N. Leopold, and D. J. Mitrouskas, “Renormalized Bogoliubov theory for the Nelson model,” Annales de l’Institut Henri Poincaré C. EMS Press, 2025.","ama":"Falconi M, Lampart J, Leopold N, Mitrouskas DJ. Renormalized Bogoliubov theory for the Nelson model. Annales de l’Institut Henri Poincaré C. 2025. doi:10.4171/aihpc/154"},"abstract":[{"text":"We consider the time evolution of the renormalized Nelson model, which describes N bosons linearly coupled to a quantized scalar field, in the mean-field limit of many particles N≫1 with coupling constant proportional to N^−1/2. First, we show that initial states exhibiting Bose–Einstein condensation for the particles and approximating a coherent state for the quantum field retain their structure under the many-body time evolution. Concretely, the dynamics of the reduced densities are approximated by solutions of two coupled PDEs, the Schrödinger–Klein–Gordon equations. Second, we construct a renormalized Bogoliubov evolution that describes the quantum fluctuations around the Schrödinger–Klein–Gordon equations. This evolution is used to extend the approximation of the evolved many-body state to the full norm topology. In summary, we provide a comprehensive analysis of the Nelson model that reveals the role of renormalization in the mean-field Bogoliubov theory.","lang":"eng"}],"publication_status":"epub_ahead","author":[{"full_name":"Falconi, Marco","last_name":"Falconi","first_name":"Marco"},{"last_name":"Lampart","full_name":"Lampart, Jonas","first_name":"Jonas"},{"full_name":"Leopold, Nikolai","last_name":"Leopold","first_name":"Nikolai"},{"first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"}],"date_published":"2025-05-06T00:00:00Z","fulldoi":"https://doi.org/10.4171/aihpc/154","oa_version":"Preprint","doi":"10.4171/aihpc/154","quality_controlled":"1"},{"scopus_import":"1","OA_place":"repository","publication_identifier":{"eissn":["1432-0835"],"issn":["0944-2669"]},"publisher":"Springer Nature","date_created":"2025-08-31T22:01:31Z","acknowledgement":"We are grateful to Rupert Frank and Enno Lenzmann for helpful discussions.","volume":64,"article_type":"original","type":"journal_article","month":"09","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2410.20113","open_access":"1"}],"department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"arxiv":1,"oa":1,"day":"01","date_updated":"2025-09-30T14:27:35Z","title":"Stability estimate for the Lane–Emden inequality","quality_controlled":"1","doi":"10.1007/s00526-025-03062-x","isi":1,"fulldoi":"https://doi.org/10.1007/s00526-025-03062-x","oa_version":"Preprint","date_published":"2025-09-01T00:00:00Z","intvolume":" 64","abstract":[{"text":"The Lane–Emden inequality controls (math. formular) in terms of the L^1 and L^p norms of p. We provide a remainder estimate for this inequality in terms of a suitable distance of p to the manifold of optimizers.","lang":"eng"}],"issue":"7","publication_status":"published","author":[{"last_name":"Carlen","full_name":"Carlen, Eric","first_name":"Eric"},{"last_name":"Lewin","full_name":"Lewin, Mathieu","first_name":"Mathieu"},{"first_name":"Elliott H.","last_name":"Lieb","full_name":"Lieb, Elliott H."},{"last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"article_processing_charge":"No","external_id":{"isi":["001558641300006"],"arxiv":["2410.20113"]},"citation":{"ama":"Carlen E, Lewin M, Lieb EH, Seiringer R. Stability estimate for the Lane–Emden inequality. Calculus of Variations and Partial Differential Equations. 2025;64(7). doi:10.1007/s00526-025-03062-x","chicago":"Carlen, Eric, Mathieu Lewin, Elliott H. Lieb, and Robert Seiringer. “Stability Estimate for the Lane–Emden Inequality.” Calculus of Variations and Partial Differential Equations. Springer Nature, 2025. https://doi.org/10.1007/s00526-025-03062-x.","mla":"Carlen, Eric, et al. “Stability Estimate for the Lane–Emden Inequality.” Calculus of Variations and Partial Differential Equations, vol. 64, no. 7, 226, Springer Nature, 2025, doi:10.1007/s00526-025-03062-x.","short":"E. Carlen, M. Lewin, E.H. Lieb, R. Seiringer, Calculus of Variations and Partial Differential Equations 64 (2025).","ieee":"E. Carlen, M. Lewin, E. H. Lieb, and R. Seiringer, “Stability estimate for the Lane–Emden inequality,” Calculus of Variations and Partial Differential Equations, vol. 64, no. 7. Springer Nature, 2025.","ista":"Carlen E, Lewin M, Lieb EH, Seiringer R. 2025. Stability estimate for the Lane–Emden inequality. Calculus of Variations and Partial Differential Equations. 64(7), 226.","apa":"Carlen, E., Lewin, M., Lieb, E. H., & Seiringer, R. (2025). Stability estimate for the Lane–Emden inequality. Calculus of Variations and Partial Differential Equations. Springer Nature. https://doi.org/10.1007/s00526-025-03062-x"},"article_number":"226","publication":"Calculus of Variations and Partial Differential Equations","year":"2025","OA_type":"green","_id":"20251","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345"},{"quality_controlled":"1","doi":"10.1007/s00023-025-01626-3","oa_version":"Preprint","fulldoi":"https://doi.org/10.1007/s00023-025-01626-3","isi":1,"date_published":"2025-10-03T00:00:00Z","publication_status":"epub_ahead","author":[{"full_name":"Cárdenas, Esteban","last_name":"Cárdenas","first_name":"Esteban"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas","first_name":"David Johannes"}],"abstract":[{"text":"We consider a tracer particle coupled to a Bose scalar field and study the regime where the field’s propagation speed approaches infinity. For initial states devoid of field excitations, we introduce an effective approximation of the time-evolved wave function and prove its validity in Hilbert space norm. In this approximation, the field remains in the vacuum state, while the tracer particle propagates with a modified dispersion relation. Physically, the new dispersion relation can be understood as the effect of radiative corrections due to interactions with virtual bosons. Mathematically, it is defined as the solution of a self-consistent nonlinear equation, whose form depends on the relevant time scale.","lang":"eng"}],"citation":{"apa":"Cárdenas, E., & Mitrouskas, D. J. (2025). Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-025-01626-3","ista":"Cárdenas E, Mitrouskas DJ. 2025. Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. Annales Henri Poincare.","ieee":"E. Cárdenas and D. J. Mitrouskas, “Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field,” Annales Henri Poincare. Springer Nature, 2025.","chicago":"Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections to the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” Annales Henri Poincare. Springer Nature, 2025. https://doi.org/10.1007/s00023-025-01626-3.","mla":"Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections to the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” Annales Henri Poincare, Springer Nature, 2025, doi:10.1007/s00023-025-01626-3.","short":"E. Cárdenas, D.J. Mitrouskas, Annales Henri Poincare (2025).","ama":"Cárdenas E, Mitrouskas DJ. Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. Annales Henri Poincare. 2025. doi:10.1007/s00023-025-01626-3"},"article_processing_charge":"No","external_id":{"isi":["001586237500001"],"arxiv":["2405.05251"]},"publication":"Annales Henri Poincare","year":"2025","_id":"20495","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","OA_type":"green","scopus_import":"1","OA_place":"repository","publisher":"Springer Nature","publication_identifier":{"issn":["1424-0637"]},"month":"10","type":"journal_article","date_created":"2025-10-19T22:01:32Z","acknowledgement":"E.C. is deeply grateful to Robert Seiringer for his hospitality at ISTA, without which this project would not have been possible. E.C. is thankful to Thomas Chen for valuable comments and for pointing out useful references. E.C gratefully acknowledges support from the Provost’s Graduate Excellence Fellowship at The University of Texas at Austin and from the NSF grant DMS-2009549, and the NSF grant DMS-2009800 through T. Chen. This material is based upon work supported by the National Science Foundation under Grant No. DMS-1928930, while E.C was in residence at the Simons Laufer Mathematical Sciences Institute in Berkeley, California, during the Fall 2025 semester.","article_type":"original","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2405.05251"}],"department":[{"_id":"RoSe"}],"arxiv":1,"language":[{"iso":"eng"}],"oa":1,"day":"03","date_updated":"2025-12-01T12:56:12Z","title":"Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field"},{"has_accepted_license":"1","file_date_updated":"2025-04-11T09:13:31Z","OA_place":"publisher","scopus_import":"1","corr_author":"1","publication_identifier":{"eissn":["1664-0403"]},"ec_funded":1,"publisher":"EMS Press","article_type":"original","acknowledgement":"We thank Andreas Deuchert, Christian Hainzl, Edwin Langmann, Marius Lemm, Robert Seiringer, and Jan Philip Solovej for helpful discussions,\r\nand Edwin Langmann and Robert Seiringer for valuable comments on an earlier version of the manuscript.\r\nFunding. Joscha Henheik gratefully acknowledges partial financial support by the\r\nERC Advanced Grant “RMTBeyond” No. 101020331. Asbjørn Bækgaard Lauritsen\r\ngratefully acknowledges partial financial support by the Austrian Science Fund (FWF)\r\nthrough grant DOI 10.55776/I6427 (as part of the SFB/TRR 352).\r\n","volume":15,"page":"305–352","date_created":"2025-04-11T09:19:28Z","ddc":["500"],"type":"journal_article","month":"01","file":[{"file_name":"Henheik_JSpectralTheory_2025.pdf","creator":"cchlebak","date_updated":"2025-04-11T09:13:31Z","success":1,"access_level":"open_access","date_created":"2025-04-11T09:13:31Z","file_id":"19549","file_size":779158,"checksum":"f49e06e8dba819f7ad52a202e287ebca","content_type":"application/pdf","relation":"main_file"}],"language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"LaEr"},{"_id":"RoSe"}],"oa":1,"related_material":{"record":[{"id":"19540","relation":"dissertation_contains","status":"public"}]},"day":"09","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2026-07-29T13:18:17Z","DOAJ_listed":"1","title":"Universal behavior of the BCS energy gap","doi":"10.4171/JST/540","quality_controlled":"1","oa_version":"Published Version","fulldoi":"https://doi.org/10.4171/JST/540","date_published":"2025-01-09T00:00:00Z","isi":1,"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331"},{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427"}],"intvolume":" 15","abstract":[{"lang":"eng","text":"We consider the BCS energy gap „.T / (essentially given by „.T / \u0019 .T; p\u0016/,\r\nthe BCS order parameter) at all temperatures 0 \u0014 T \u0014 Tc up to the critical one, Tc, and show\r\nthat, in the limit of weak coupling, the ratio „.T /=Tc is given by a universal function of the relative temperature T =Tc. On the one hand, this recovers a recent result by Langmann and Triola\r\n[Phys. Rev. B 108 (2023), no. 10, article no. 104503] on three-dimensional s-wave superconductors for temperatures bounded uniformly away from Tc. On the other hand, our result lifts these\r\nrestrictions, as we consider arbitrary spatial dimensions d 2 ¹1; 2; 3º, discuss superconductors\r\nwith non-zero angular momentum (primarily in two dimensions), and treat the perhaps physically most interesting (due to the occurrence of the superconducting phase transition) regime of\r\ntemperatures close to Tc.\r\n\r\n\r\n ."}],"publication_status":"published","author":[{"last_name":"Henheik","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X"},{"first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","last_name":"Lauritsen","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"}],"issue":"1","external_id":{"isi":["001438931600009"],"arxiv":["2312.11310"]},"article_processing_charge":"No","citation":{"ama":"Henheik SJ, Lauritsen AB. Universal behavior of the BCS energy gap. Journal of Spectral Theory. 2025;15(1):305–352. doi:10.4171/JST/540","ista":"Henheik SJ, Lauritsen AB. 2025. Universal behavior of the BCS energy gap. Journal of Spectral Theory. 15(1), 305–352.","ieee":"S. J. Henheik and A. B. Lauritsen, “Universal behavior of the BCS energy gap,” Journal of Spectral Theory, vol. 15, no. 1. EMS Press, pp. 305–352, 2025.","apa":"Henheik, S. J., & Lauritsen, A. B. (2025). Universal behavior of the BCS energy gap. Journal of Spectral Theory. EMS Press. https://doi.org/10.4171/JST/540","short":"S.J. Henheik, A.B. Lauritsen, Journal of Spectral Theory 15 (2025) 305–352.","mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “Universal Behavior of the BCS Energy Gap.” Journal of Spectral Theory, vol. 15, no. 1, EMS Press, 2025, pp. 305–352, doi:10.4171/JST/540.","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “Universal Behavior of the BCS Energy Gap.” Journal of Spectral Theory. EMS Press, 2025. https://doi.org/10.4171/JST/540."},"publication":"Journal of Spectral Theory","year":"2025","OA_type":"gold","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"19548"},{"doi":"10.2140/pmp.2025.6.281","quality_controlled":"1","date_published":"2025-02-23T00:00:00Z","fulldoi":"https://doi.org/10.2140/pmp.2025.6.281","oa_version":"Preprint","abstract":[{"text":"We consider the confined Fröhlich polaron and establish an asymptotic series for the low-energy eigenvalues in negative powers of the coupling constant. The coefficients of the series are derived through a two-fold perturbation approach, involving expansions around the electron Pekar minimizer and the excitations of the quantum field.","lang":"eng"}],"intvolume":" 6","publication_status":"published","issue":"1","author":[{"last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","full_name":"Brooks, Morris","first_name":"Morris","orcid":"0000-0002-6249-0928"},{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes"}],"external_id":{"arxiv":["2306.16373"]},"article_processing_charge":"No","citation":{"short":"M. Brooks, D.J. Mitrouskas, Probability and Mathematical Physics 6 (2025) 281–325.","chicago":"Brooks, Morris, and David Johannes Mitrouskas. “Asymptotic Series for Low-Energy Excitations of the Fröhlich Polaron at Strong Coupling.” Probability and Mathematical Physics. Mathematical Sciences Publishers, 2025. https://doi.org/10.2140/pmp.2025.6.281.","mla":"Brooks, Morris, and David Johannes Mitrouskas. “Asymptotic Series for Low-Energy Excitations of the Fröhlich Polaron at Strong Coupling.” Probability and Mathematical Physics, vol. 6, no. 1, Mathematical Sciences Publishers, 2025, pp. 281–325, doi:10.2140/pmp.2025.6.281.","ieee":"M. Brooks and D. J. Mitrouskas, “Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling,” Probability and Mathematical Physics, vol. 6, no. 1. Mathematical Sciences Publishers, pp. 281–325, 2025.","ista":"Brooks M, Mitrouskas DJ. 2025. Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. 6(1), 281–325.","apa":"Brooks, M., & Mitrouskas, D. J. (2025). Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. Mathematical Sciences Publishers. https://doi.org/10.2140/pmp.2025.6.281","ama":"Brooks M, Mitrouskas DJ. Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. 2025;6(1):281-325. doi:10.2140/pmp.2025.6.281"},"publication":"Probability and Mathematical Physics","year":"2025","OA_type":"green","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"19372","OA_place":"repository","scopus_import":"1","corr_author":"1","publication_identifier":{"eissn":["2690-1005"],"issn":["2690-0998"]},"publisher":"Mathematical Sciences Publishers","acknowledgement":"M.B. gratefully acknowledges funding from the ERC Advanced Grant ERC-AdG CLaQS, grant agreement n. 83478.","article_type":"original","volume":6,"date_created":"2025-03-09T23:01:28Z","page":"281-325","type":"journal_article","month":"02","language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"RoSe"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2306.16373","open_access":"1"}],"oa":1,"day":"23","date_updated":"2026-08-12T08:44:53Z","title":"Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling"},{"status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","_id":"18074","OA_type":"hybrid","year":"2025","publication":"Annales Henri Poincare","citation":{"ama":"Fialova M. Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition. Annales Henri Poincare. 2025;26:2859-2900. doi:10.1007/s00023-024-01482-7","short":"M. Fialova, Annales Henri Poincare 26 (2025) 2859–2900.","chicago":"Fialova, Marie. “Aharonov–Casher Theorems for Dirac Operators on Manifolds with Boundary and APS Boundary Condition.” Annales Henri Poincare. Springer Nature, 2025. https://doi.org/10.1007/s00023-024-01482-7.","mla":"Fialova, Marie. “Aharonov–Casher Theorems for Dirac Operators on Manifolds with Boundary and APS Boundary Condition.” Annales Henri Poincare, vol. 26, Springer Nature, 2025, pp. 2859–900, doi:10.1007/s00023-024-01482-7.","ieee":"M. Fialova, “Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition,” Annales Henri Poincare, vol. 26. Springer Nature, pp. 2859–2900, 2025.","ista":"Fialova M. 2025. Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition. Annales Henri Poincare. 26, 2859–2900.","apa":"Fialova, M. (2025). Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-024-01482-7"},"external_id":{"arxiv":["2304.13373"],"isi":["001304370000001"]},"PlanS_conform":"1","article_processing_charge":"Yes (via OA deal)","publication_status":"published","author":[{"id":"e9c9844d-9e21-11ec-b482-f96fc09f7c4d","full_name":"Fialova, Marie","last_name":"Fialova","first_name":"Marie"}],"abstract":[{"text":"The Aharonov–Casher theorem is a result on the number of the so-called zero modes of a system described by the magnetic Pauli operator in R2. In this paper we address the same question for the Dirac operator on a flat two-dimensional manifold with boundary and Atiyah–Patodi–Singer boundary condition. More concretely we are interested in the plane and a disc with a finite number of circular holes cut out. We consider a smooth compactly supported magnetic field on the manifold and an arbitrary magnetic field inside the holes.","lang":"eng"}],"intvolume":" 26","oa_version":"Published Version","fulldoi":"https://doi.org/10.1007/s00023-024-01482-7","date_published":"2025-08-01T00:00:00Z","isi":1,"project":[{"grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c"}],"doi":"10.1007/s00023-024-01482-7","quality_controlled":"1","researchdata_availability":"no","title":"Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition","das_tickbox":"0","date_updated":"2026-09-17T11:06:35Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"01","oa":1,"arxiv":1,"language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"file":[{"content_type":"application/pdf","relation":"main_file","file_id":"20124","file_size":728124,"checksum":"d8d2d6dbce293c9ee6eaa9262e597147","success":1,"date_updated":"2025-08-05T11:24:25Z","access_level":"open_access","date_created":"2025-08-05T11:24:25Z","file_name":"2025_AnnalesHenriPoincare_Fialova.pdf","creator":"dernst"}],"supplementarymaterial":"yes","type":"journal_article","month":"08","ddc":["510"],"volume":26,"article_type":"original","acknowledgement":"First and foremost I am grateful to Jan Philip Solovej for fruitful meetings during (and after) my PhD programme, when this work was done. Further I would like to thank Joshua Hunt, Anna Sisak, Jakub Löwit, Błażej Ruba, Volodymir Riabov, Lukas Schimmer and Georgios Koutentakis for valuable discussions. Many thanks belong to Rafael Benguria for hosting my visit, during which some of the work has been done. I am also grateful to Marina Prokhorova who first initiated the discussion of this project topic and to Annemarie Luger for her valuable comments during my PhD defence and in particular pointing out the qualitative difference in our two main results. I would like to acknowledge support for research on this paper from VILLUM FONDEN through the QMATH Centre of Excellence grant. nr. 10059. This project also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101034413. I am grateful to the two reviewers for reading carefully my manuscript and pointing out several issues contributing thus significantly to the readability and clarity of this paper.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","page":"2859-2900","date_created":"2024-09-15T22:01:42Z","publisher":"Springer Nature","publication_identifier":{"issn":["1424-0637"]},"ec_funded":1,"scopus_import":"1","OA_place":"publisher","file_date_updated":"2025-08-05T11:24:25Z","corr_author":"1","has_accepted_license":"1"},{"publication_identifier":{"issn":["1424-0637"]},"publisher":"Springer Nature","has_accepted_license":"1","OA_place":"publisher","scopus_import":"1","file_date_updated":"2025-08-05T11:42:27Z","corr_author":"1","file":[{"relation":"main_file","content_type":"application/pdf","checksum":"01b6572f55f721e97498522c85072ed2","file_size":797241,"file_id":"20125","date_created":"2025-08-05T11:42:27Z","access_level":"open_access","date_updated":"2025-08-05T11:42:27Z","success":1,"creator":"dernst","file_name":"2025_AnnalesHenriPoincare_Lauritsen.pdf"}],"language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"volume":26,"article_type":"original","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nWe thank Alessandro Giuliani and Robert Seiringer for helpful discussions and Robert Seiringer for his comments on the manuscript. Financial support by the Austrian Science Fund (FWF) through Grant https://doi.org/10.55776/I6427 (as part of the SFB/TRR 352) is gratefully acknowledged.","page":"203-243","date_created":"2024-07-14T22:01:12Z","pmid":1,"supplementarymaterial":"no","type":"journal_article","ddc":["510"],"month":"01","related_material":{"record":[{"id":"18135","relation":"dissertation_contains","status":"public"}]},"day":"01","oa":1,"das_tickbox":"0","title":"Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2026-10-21T08:28:52Z","doi":"10.1007/s00023-024-01450-1","quality_controlled":"1","researchdata_availability":"no","abstract":[{"text":"We prove an upper bound on the energy density of the dilute spin-\\(\\frac {1}{2}\\) Fermi gas capturing the leading correction to the kinetic energy\\(8\\pi a\\rho _\\uparrow\\rho _\\downarrow\\) with an error of size smaller than\\(a\\rho^{2}(a^ 3\\rho)^{1/3-\\varepsilon}\\) for any\\(\\varepsilon> 0\\), where a denotes the scattering length of the interaction. The result is valid for a large class of interactions including interactions with a hard core. A central ingredient in the proof is a rigorous version of a fermionic cluster expansion adapted from the formal expansion of Gaudin et al. (Nucl Phys A 176(2):237–260, 1971. https://doi.org/10.1016/0375-9474(71)90267-3).","lang":"eng"}],"intvolume":" 26","author":[{"orcid":"0000-0003-4476-2288","first_name":"Asbjørn Bækgaard","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","last_name":"Lauritsen"}],"publication_status":"published","date_published":"2025-01-01T00:00:00Z","fulldoi":"https://doi.org/10.1007/s00023-024-01450-1","oa_version":"Published Version","isi":1,"project":[{"name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b"}],"publication":"Annales Henri Poincare","external_id":{"isi":["001261197700002"],"pmid":["39926012"]},"article_processing_charge":"Yes (via OA deal)","PlanS_conform":"1","citation":{"ama":"Lauritsen AB. Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion. Annales Henri Poincare. 2025;26:203-243. doi:10.1007/s00023-024-01450-1","ieee":"A. B. Lauritsen, “Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion,” Annales Henri Poincare, vol. 26. Springer Nature, pp. 203–243, 2025.","ista":"Lauritsen AB. 2025. Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion. Annales Henri Poincare. 26, 203–243.","apa":"Lauritsen, A. B. (2025). Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-024-01450-1","short":"A.B. Lauritsen, Annales Henri Poincare 26 (2025) 203–243.","chicago":"Lauritsen, Asbjørn Bækgaard. “Almost Optimal Upper Bound for the Ground State Energy of a Dilute Fermi Gas via Cluster Expansion.” Annales Henri Poincare. Springer Nature, 2025. https://doi.org/10.1007/s00023-024-01450-1.","mla":"Lauritsen, Asbjørn Bækgaard. “Almost Optimal Upper Bound for the Ground State Energy of a Dilute Fermi Gas via Cluster Expansion.” Annales Henri Poincare, vol. 26, Springer Nature, 2025, pp. 203–43, doi:10.1007/s00023-024-01450-1."},"OA_type":"hybrid","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","_id":"17240","year":"2025"},{"corr_author":"1","OA_place":"repository","doi":"10.48550/arXiv.2409.17297","month":"10","type":"preprint","date_published":"2024-10-21T00:00:00Z","fulldoi":"https://doi.org/10.48550/arXiv.2409.17297","oa_version":"Preprint","date_created":"2025-04-11T11:43:58Z","publication_status":"draft","department":[{"_id":"LaEr"},{"_id":"RoSe"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2409.17297","open_access":"1"}],"author":[{"first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha"},{"first_name":"Edwin","last_name":"Langmann","full_name":"Langmann, Edwin"},{"last_name":"Lauritsen","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288"}],"language":[{"iso":"eng"}],"arxiv":1,"abstract":[{"lang":"eng","text":"We introduce a multi-band BCS free energy functional and prove that for a\r\nmulti-band superconductor the effect of inter-band coupling can only increase\r\nthe critical temperature, irrespective of its attractive or repulsive nature\r\nand its strength. Further, for weak coupling and weaker inter-band coupling, we\r\nprove that the dependence of the increase in critical temperature on the\r\ninter-band coupling is (1) linear, if there are two or more equally strongly\r\nsuperconducting bands, or (2) quadratic, if there is only one dominating band."}],"oa":1,"citation":{"ama":"Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced critical temperatures. arXiv. doi:10.48550/arXiv.2409.17297","mla":"Henheik, Sven Joscha, et al. “Multi-Band Superconductors Have Enhanced Critical Temperatures.” ArXiv, doi:10.48550/arXiv.2409.17297.","chicago":"Henheik, Sven Joscha, Edwin Langmann, and Asbjørn Bækgaard Lauritsen. “Multi-Band Superconductors Have Enhanced Critical Temperatures.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.17297.","short":"S.J. Henheik, E. Langmann, A.B. Lauritsen, ArXiv (n.d.).","ista":"Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced critical temperatures. arXiv, 10.48550/arXiv.2409.17297.","apa":"Henheik, S. J., Langmann, E., & Lauritsen, A. B. (n.d.). Multi-band superconductors have enhanced critical temperatures. arXiv. https://doi.org/10.48550/arXiv.2409.17297","ieee":"S. J. Henheik, E. Langmann, and A. B. Lauritsen, “Multi-band superconductors have enhanced critical temperatures,” arXiv. ."},"article_processing_charge":"No","external_id":{"arxiv":["2409.17297"]},"publication":"arXiv","day":"21","related_material":{"record":[{"relation":"later_version","id":"22290","status":"public"},{"status":"public","id":"19540","relation":"dissertation_contains"}]},"date_updated":"2026-07-29T13:18:16Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2024","_id":"19550","status":"public","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","title":"Multi-band superconductors have enhanced critical temperatures"},{"publisher":"Springer Nature","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"scopus_import":"1","file_date_updated":"2024-04-16T11:09:37Z","has_accepted_license":"1","department":[{"_id":"RoSe"}],"arxiv":1,"language":[{"iso":"eng"}],"dataavailabilitystatement":"Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.","file":[{"success":1,"date_updated":"2024-04-16T11:09:37Z","date_created":"2024-04-16T11:09:37Z","access_level":"open_access","file_name":"2024_JourStatPhysics_Bossmann.pdf","creator":"dernst","content_type":"application/pdf","relation":"main_file","file_id":"15325","file_size":398665,"checksum":"839242a9ec1c01158112de25f196e60d"}],"type":"journal_article","month":"04","supplementarymaterial":"no","ddc":["510"],"date_created":"2024-04-14T22:01:02Z","acknowledgement":"It is a pleasure to thank Phan Thành Nam for helpful discussions on bosonic atoms. L.B. was supported by the German Research Foundation within the Munich Center of Quantum Science and Technology (EXC 2111). N.L. gratefully acknowledges support from the Swiss National Science Foundation through the NCCR SwissMap and funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant agreement No 101024712. S.P. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—Project number 512258249.\r\nOpen Access funding enabled and organized by Projekt DEAL.","article_type":"original","volume":191,"day":"06","oa":1,"title":"A note on the binding energy for Bosons in the mean-field limit","das_tickbox":"1","date_updated":"2026-09-17T11:05:18Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"quality_controlled":"1","doi":"10.1007/s10955-024-03260-5","researchdata_availability":"not applicable","publication_status":"published","issue":"4","author":[{"last_name":"Bossmann","full_name":"Bossmann, Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea","orcid":"0000-0002-6854-1343"},{"last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K","first_name":"Nikolai K","orcid":"0000-0002-0495-6822"},{"first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"},{"first_name":"Sören P","orcid":"0000-0002-9166-5889","last_name":"Petrat","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrat, Sören P"}],"intvolume":" 191","abstract":[{"text":"We consider a gas of N weakly interacting bosons in the ground state. Such gases exhibit Bose–Einstein condensation. The binding energy is defined as the energy it takes to remove one particle from the gas. In this article, we prove an asymptotic expansion for the binding energy, and compute the first orders explicitly for the homogeneous gas. Our result addresses in particular a conjecture by Nam (Lett Math Phys 108(1):141–159, 2018), and provides an asymptotic expansion of the ionization energy of bosonic atoms.","lang":"eng"}],"oa_version":"Published Version","fulldoi":"https://doi.org/10.1007/s10955-024-03260-5","date_published":"2024-04-06T00:00:00Z","isi":1,"publication":"Journal of Statistical Physics","article_number":"48","citation":{"chicago":"Bossmann, Lea, Nikolai K Leopold, David Johannes Mitrouskas, and Sören P Petrat. “A Note on the Binding Energy for Bosons in the Mean-Field Limit.” Journal of Statistical Physics. Springer Nature, 2024. https://doi.org/10.1007/s10955-024-03260-5.","mla":"Bossmann, Lea, et al. “A Note on the Binding Energy for Bosons in the Mean-Field Limit.” Journal of Statistical Physics, vol. 191, no. 4, 48, Springer Nature, 2024, doi:10.1007/s10955-024-03260-5.","short":"L. Bossmann, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Journal of Statistical Physics 191 (2024).","ista":"Bossmann L, Leopold NK, Mitrouskas DJ, Petrat SP. 2024. A note on the binding energy for Bosons in the mean-field limit. Journal of Statistical Physics. 191(4), 48.","apa":"Bossmann, L., Leopold, N. K., Mitrouskas, D. J., & Petrat, S. P. (2024). A note on the binding energy for Bosons in the mean-field limit. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-024-03260-5","ieee":"L. Bossmann, N. K. Leopold, D. J. Mitrouskas, and S. P. Petrat, “A note on the binding energy for Bosons in the mean-field limit,” Journal of Statistical Physics, vol. 191, no. 4. Springer Nature, 2024.","ama":"Bossmann L, Leopold NK, Mitrouskas DJ, Petrat SP. A note on the binding energy for Bosons in the mean-field limit. Journal of Statistical Physics. 2024;191(4). doi:10.1007/s10955-024-03260-5"},"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["001197663100002"],"arxiv":["2307.13115"]},"_id":"15318","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","year":"2024"},{"publication":"Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques","article_processing_charge":"Yes (in subscription journal)","external_id":{"arxiv":["2211.03353"],"isi":["001297785000001"]},"citation":{"short":"M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.","chicago":"Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part II — Energy-Momentum Relation and Effective Mass.” Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques. Springer Nature, 2024. https://doi.org/10.1007/s10240-024-00150-0.","mla":"Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part II — Energy-Momentum Relation and Effective Mass.” Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques, vol. 140, Springer Nature, 2024, pp. 271–309, doi:10.1007/s10240-024-00150-0.","ieee":"M. Brooks and R. Seiringer, “The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass,” Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques, vol. 140. Springer Nature, pp. 271–309, 2024.","ista":"Brooks M, Seiringer R. 2024. The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques. 140, 271–309.","apa":"Brooks, M., & Seiringer, R. (2024). The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques. Springer Nature. https://doi.org/10.1007/s10240-024-00150-0","ama":"Brooks M, Seiringer R. The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques. 2024;140:271-309. doi:10.1007/s10240-024-00150-0"},"OA_type":"hybrid","_id":"17478","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","year":"2024","quality_controlled":"1","doi":"10.1007/s10240-024-00150-0","researchdata_availability":"no","abstract":[{"lang":"eng","text":"We study the Fröhlich polaron model in R3, and prove a lower bound on its ground state energy as a function of the total momentum. The bound is asymptotically sharp at large coupling. In combination with a corresponding upper bound proved earlier (Mitrouskas et al. in Forum Math. Sigma 11:1–52, 2023), it shows that the energy is approximately parabolic below the continuum threshold, and that the polaron’s effective mass (defined as the semi-latus rectum of the\r\nparabola) is given by the celebrated Landau–Pekar formula. In particular, it diverges as α4 for large coupling constant α."}],"intvolume":" 140","author":[{"first_name":"Morris","orcid":"0000-0002-6249-0928","last_name":"Brooks","full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"publication_status":"published","fulldoi":"https://doi.org/10.1007/s10240-024-00150-0","oa_version":"Published Version","isi":1,"date_published":"2024-12-01T00:00:00Z","day":"01","oa":1,"das_tickbox":"0","title":"The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2026-09-17T11:07:19Z","publication_identifier":{"issn":["0073-8301"],"eissn":["1618-1913"]},"publisher":"Springer Nature","has_accepted_license":"1","corr_author":"1","file_date_updated":"2025-01-13T08:13:42Z","scopus_import":"1","OA_place":"publisher","file":[{"file_id":"18824","file_size":924342,"checksum":"af3becc50f7534c9409d3ff8b5c47ed6","content_type":"application/pdf","relation":"main_file","file_name":"2024_PublicMathIHES_Brooks.pdf","creator":"dernst","success":1,"date_updated":"2025-01-13T08:13:42Z","date_created":"2025-01-13T08:13:42Z","access_level":"open_access"}],"department":[{"_id":"RoSe"}],"arxiv":1,"language":[{"iso":"eng"}],"date_created":"2024-09-01T22:01:08Z","page":"271-309","article_type":"original","volume":140,"month":"12","ddc":["510"],"type":"journal_article","supplementarymaterial":"yes"},{"year":"2024","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","_id":"18948","OA_type":"green","citation":{"mla":"Bossmann, Lea, et al. “Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications.” Physics and the Nature of Reality, edited by Angelo Bassi et al., vol. 215, Springer Nature, 2024, pp. 307–21, doi:10.1007/978-3-031-45434-9_22.","chicago":"Bossmann, Lea, Nikolai Leopold, David Johannes Mitrouskas, and Sören Petrat. “Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications.” In Physics and the Nature of Reality, edited by Angelo Bassi, Sheldon Goldstein, Roderich Tumulka, and Nino Zanghi, 215:307–21. FTPH. Cham: Springer Nature, 2024. https://doi.org/10.1007/978-3-031-45434-9_22.","short":"L. Bossmann, N. Leopold, D.J. Mitrouskas, S. Petrat, in:, A. Bassi, S. Goldstein, R. Tumulka, N. Zanghi (Eds.), Physics and the Nature of Reality, Springer Nature, Cham, 2024, pp. 307–321.","apa":"Bossmann, L., Leopold, N., Mitrouskas, D. J., & Petrat, S. (2024). Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications. In A. Bassi, S. Goldstein, R. Tumulka, & N. Zanghi (Eds.), Physics and the Nature of Reality (Vol. 215, pp. 307–321). Cham: Springer Nature. https://doi.org/10.1007/978-3-031-45434-9_22","ista":"Bossmann L, Leopold N, Mitrouskas DJ, Petrat S. 2024.Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications. In: Physics and the Nature of Reality. Fundamental Theories of Physics, vol. 215, 307–321.","ieee":"L. Bossmann, N. Leopold, D. J. Mitrouskas, and S. Petrat, “Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications,” in Physics and the Nature of Reality, vol. 215, A. Bassi, S. Goldstein, R. Tumulka, and N. Zanghi, Eds. Cham: Springer Nature, 2024, pp. 307–321.","ama":"Bossmann L, Leopold N, Mitrouskas DJ, Petrat S. Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications. In: Bassi A, Goldstein S, Tumulka R, Zanghi N, eds. Physics and the Nature of Reality. Vol 215. FTPH. Cham: Springer Nature; 2024:307-321. doi:10.1007/978-3-031-45434-9_22"},"series_title":"FTPH","external_id":{"arxiv":["2304.12910"]},"article_processing_charge":"No","publication":"Physics and the Nature of Reality","fulldoi":"https://doi.org/10.1007/978-3-031-45434-9_22","oa_version":"Preprint","date_published":"2024-02-04T00:00:00Z","publication_status":"published","author":[{"full_name":"Bossmann, Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann","orcid":"0000-0002-6854-1343","first_name":"Lea"},{"full_name":"Leopold, Nikolai","last_name":"Leopold","first_name":"Nikolai"},{"first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"},{"full_name":"Petrat, Sören","last_name":"Petrat","first_name":"Sören"}],"abstract":[{"text":"We consider a gas of N bosons with interactions in the mean-field scaling regime. We review a recent proof of the asymptotic expansion of its spectrum and eigenstates and two applications of this result, namely the derivation of an Edgeworth expansion for fluctuations of one-body operators and the computation of the binding energy of an inhomogeneous Bose gas to any order. Finally, we collect related results for the dynamics of the weakly interacting Bose gas and for the regularized Nelson model.","lang":"eng"}],"intvolume":" 215","researchdata_availability":"no","doi":"10.1007/978-3-031-45434-9_22","quality_controlled":"1","date_updated":"2026-09-17T11:08:01Z","place":"Cham","title":"Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications","das_tickbox":"0","oa":1,"day":"04","editor":[{"first_name":"Angelo","last_name":"Bassi","full_name":"Bassi, Angelo"},{"first_name":"Sheldon","full_name":"Goldstein, Sheldon","last_name":"Goldstein"},{"full_name":"Tumulka, Roderich","last_name":"Tumulka","first_name":"Roderich"},{"first_name":"Nino","full_name":"Zanghi, Nino","last_name":"Zanghi"}],"type":"book_chapter","supplementarymaterial":"no","month":"02","acknowledgement":"It is our pleasure to thank Marco Falconi, Nataša Pavlović, Peter Pickl, Robert Seiringer and Avy Soffer for the collaboration on the works [11, 13, 14, 21, 33, 39]. L.B. was supported by the German Research Foundation within the Munich Center of Quantum Science and Technology (EXC 2111). N.L. acknowledges support from the Swiss National Science Foundation through the NCCR SwissMap and funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101024712. S.P. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - project number 512258249.","volume":215,"page":"307-321","date_created":"2025-01-29T10:30:08Z","language":[{"iso":"eng"}],"arxiv":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2304.12910","open_access":"1"}],"department":[{"_id":"RoSe"}],"OA_place":"repository","scopus_import":"1","alternative_title":["Fundamental Theories of Physics"],"publisher":"Springer Nature","publication_identifier":{"eisbn":["9783031454349"],"eissn":["2365-6425"],"issn":["0168-1222"],"isbn":["9783031454332"]}},{"publication_identifier":{"eissn":["1660-8941"],"issn":["1660-8933"]},"publisher":"EMS Press","acknowledgement":"The MFO and the workshop organizers would like to thank the National Science Foundation for supporting the participation of junior researchers in the workshop by the grant DMS-2230648, “US Junior Oberwolfach Fellows”.","article_type":"original","volume":20,"page":"2247-2302","date_created":"2025-01-29T13:09:28Z","type":"journal_article","supplementarymaterial":"no","month":"04","language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"day":"18","date_updated":"2026-09-17T11:09:16Z","das_tickbox":"0","title":"Many-body quantum systems","researchdata_availability":"no","doi":"10.4171/owr/2023/39","quality_controlled":"1","date_published":"2024-04-18T00:00:00Z","fulldoi":"https://doi.org/10.4171/owr/2023/39","oa_version":"None","intvolume":" 20","abstract":[{"lang":"eng","text":"This workshop brought together experts on the analysis of quantum many-body problems and quantum statistical mechanics, with the goal of discussing the state-of-the-art of the field, recent developments as well as challenges for the future. The main topics of discussion concerned the equilibrium and dynamical behavior of (bosonic or fermionic) quantum gases, quantum spin systems, as well as quantum field theory models like the Nelson or Fröhlich model."}],"author":[{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"},{"last_name":"Warzel","full_name":"Warzel, Simone","first_name":"Simone"}],"publication_status":"published","issue":"3","article_processing_charge":"No","citation":{"ieee":"C. Hainzl, B. Schlein, R. Seiringer, and S. Warzel, “Many-body quantum systems,” Oberwolfach Reports, vol. 20, no. 3. EMS Press, pp. 2247–2302, 2024.","apa":"Hainzl, C., Schlein, B., Seiringer, R., & Warzel, S. (2024). Many-body quantum systems. Oberwolfach Reports. EMS Press. https://doi.org/10.4171/owr/2023/39","ista":"Hainzl C, Schlein B, Seiringer R, Warzel S. 2024. Many-body quantum systems. Oberwolfach Reports. 20(3), 2247–2302.","short":"C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 20 (2024) 2247–2302.","chicago":"Hainzl, Christian, Benjamin Schlein, Robert Seiringer, and Simone Warzel. “Many-Body Quantum Systems.” Oberwolfach Reports. EMS Press, 2024. https://doi.org/10.4171/owr/2023/39.","mla":"Hainzl, Christian, et al. “Many-Body Quantum Systems.” Oberwolfach Reports, vol. 20, no. 3, EMS Press, 2024, pp. 2247–302, doi:10.4171/owr/2023/39.","ama":"Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. Oberwolfach Reports. 2024;20(3):2247-2302. doi:10.4171/owr/2023/39"},"publication":"Oberwolfach Reports","year":"2024","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","_id":"18958"},{"related_material":{"record":[{"status":"public","id":"19540","relation":"dissertation_contains"},{"status":"public","id":"18135","relation":"dissertation_contains"}]},"day":"01","oa":1,"das_tickbox":"0","title":"Universality in low-dimensional BCS theory","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2026-10-02T11:43:00Z","publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"ec_funded":1,"publisher":"World Scientific Publishing","has_accepted_license":"1","scopus_import":"1","file_date_updated":"2025-01-09T07:56:28Z","OA_place":"publisher","corr_author":"1","file":[{"content_type":"application/pdf","relation":"main_file","file_id":"18786","file_size":503910,"checksum":"2b053a4223b4db14b90520999ec56054","success":1,"date_updated":"2025-01-09T07:56:28Z","access_level":"open_access","date_created":"2025-01-09T07:56:28Z","file_name":"2024_ReviewsmathPhysics_Henheik.pdf","creator":"dernst"}],"arxiv":1,"language":[{"iso":"eng"}],"department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"volume":36,"article_type":"original","acknowledgement":"We thank Robert Seiringer for comments on the paper. J. H. gratefully acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond”No. 101020331.This research was funded in part by the Austrian Science Fund (FWF) grantnumber I6427.","date_created":"2023-11-15T23:48:14Z","type":"journal_article","supplementarymaterial":"no","ddc":["510"],"month":"10","article_number":"2360005 ","publication":"Reviews in Mathematical Physics","external_id":{"isi":["001099640300002"],"arxiv":["2301.05621"]},"article_processing_charge":"Yes (in subscription journal)","citation":{"ieee":"S. J. Henheik, A. B. Lauritsen, and B. Roos, “Universality in low-dimensional BCS theory,” Reviews in Mathematical Physics, vol. 36, no. 9. World Scientific Publishing, 2024.","ista":"Henheik SJ, Lauritsen AB, Roos B. 2024. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. 36(9), 2360005.","apa":"Henheik, S. J., Lauritsen, A. B., & Roos, B. (2024). Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x2360005x","chicago":"Henheik, Sven Joscha, Asbjørn Bækgaard Lauritsen, and Barbara Roos. “Universality in Low-Dimensional BCS Theory.” Reviews in Mathematical Physics. World Scientific Publishing, 2024. https://doi.org/10.1142/s0129055x2360005x.","mla":"Henheik, Sven Joscha, et al. “Universality in Low-Dimensional BCS Theory.” Reviews in Mathematical Physics, vol. 36, no. 9, 2360005, World Scientific Publishing, 2024, doi:10.1142/s0129055x2360005x.","short":"S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics 36 (2024).","ama":"Henheik SJ, Lauritsen AB, Roos B. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. 2024;36(9). doi:10.1142/s0129055x2360005x"},"OA_type":"hybrid","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","_id":"14542","year":"2024","doi":"10.1142/s0129055x2360005x","quality_controlled":"1","researchdata_availability":"no","intvolume":" 36","abstract":[{"lang":"eng","text":"It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature Ξ\r\n and the critical temperature Tc is (approximately) given by a universal constant, independent of the microscopic details of the fermionic interaction. This universality has rigorously been proven quite recently in three spatial dimensions and three different limiting regimes: weak coupling, low density and high density. The goal of this short note is to extend the universal behavior to lower dimensions d=1,2 and give an exemplary proof in the weak coupling limit."}],"issue":"9","publication_status":"published","author":[{"full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha"},{"first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","last_name":"Lauritsen","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"},{"full_name":"Roos, Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","last_name":"Roos","orcid":"0000-0002-9071-5880","first_name":"Barbara"}],"isi":1,"fulldoi":"https://doi.org/10.1142/s0129055x2360005x","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"},{"grant_number":"I06427","name":"Mathematical Challenges in BCS Theory of Superconductivity","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b"}],"date_published":"2024-10-01T00:00:00Z","oa_version":"Published Version"},{"date_updated":"2026-10-02T11:43:00Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"title":"Pressure of a dilute spin-polarized Fermi gas: Lower bound","das_tickbox":"0","oa":1,"day":"09","related_material":{"record":[{"status":"public","id":"18135","relation":"dissertation_contains"}]},"type":"journal_article","supplementarymaterial":"no","ddc":["510"],"month":"09","article_type":"original","volume":12,"acknowledgement":"Financial support by the Austrian Science Fund (FWF) through grant DOI: 10.55776/I6427 (as part of the SFB/TRR 352) is gratefully acknowledged.","date_created":"2024-09-20T12:25:25Z","language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"GradSch"},{"_id":"RoSe"}],"file":[{"relation":"main_file","content_type":"application/pdf","checksum":"330b881240013213a8e08538fec13d29","file_id":"18126","file_size":599886,"access_level":"open_access","date_created":"2024-09-23T09:56:17Z","date_updated":"2024-09-23T09:56:17Z","success":1,"creator":"dernst","file_name":"2024_ForumMath_Lauritsen.pdf"}],"file_date_updated":"2024-09-23T09:56:17Z","scopus_import":"1","corr_author":"1","has_accepted_license":"1","publisher":"Cambridge University Press","publication_identifier":{"issn":["2050-5094"]},"year":"2024","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","_id":"18107","citation":{"ama":"Lauritsen AB, Seiringer R. Pressure of a dilute spin-polarized Fermi gas: Lower bound. Forum of Mathematics, Sigma. 2024;12. doi:10.1017/fms.2024.56","ista":"Lauritsen AB, Seiringer R. 2024. Pressure of a dilute spin-polarized Fermi gas: Lower bound. Forum of Mathematics, Sigma. 12, e78.","ieee":"A. B. Lauritsen and R. Seiringer, “Pressure of a dilute spin-polarized Fermi gas: Lower bound,” Forum of Mathematics, Sigma, vol. 12. Cambridge University Press, 2024.","apa":"Lauritsen, A. B., & Seiringer, R. (2024). Pressure of a dilute spin-polarized Fermi gas: Lower bound. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2024.56","chicago":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Pressure of a Dilute Spin-Polarized Fermi Gas: Lower Bound.” Forum of Mathematics, Sigma. Cambridge University Press, 2024. https://doi.org/10.1017/fms.2024.56.","mla":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Pressure of a Dilute Spin-Polarized Fermi Gas: Lower Bound.” Forum of Mathematics, Sigma, vol. 12, e78, Cambridge University Press, 2024, doi:10.1017/fms.2024.56.","short":"A.B. Lauritsen, R. Seiringer, Forum of Mathematics, Sigma 12 (2024)."},"external_id":{"isi":["001307817400001"],"arxiv":["2407.05990"]},"article_processing_charge":"Yes","publication":"Forum of Mathematics, Sigma","article_number":"e78","fulldoi":"https://doi.org/10.1017/fms.2024.56","oa_version":"Published Version","isi":1,"project":[{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","grant_number":"I06427","name":"Mathematical Challenges in BCS Theory of Superconductivity"}],"date_published":"2024-09-09T00:00:00Z","author":[{"id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","full_name":"Lauritsen, Asbjørn Bækgaard","last_name":"Lauritsen","orcid":"0000-0003-4476-2288","first_name":"Asbjørn Bækgaard"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"publication_status":"published","intvolume":" 12","abstract":[{"text":"We consider a dilute fully spin-polarized Fermi gas at positive temperature in dimensions d∈{1,2,3} . We show that the pressure of the interacting gas is bounded from below by that of the free gas plus, to leading order, an explicit term of order adρ2+2/d, where a is the p-wave scattering length of the repulsive interaction and ρ is the particle density. The results are valid for a wide range of repulsive interactions, including that of a hard core, and uniform in temperatures at most of the order of the Fermi temperature. A central ingredient in the proof is a rigorous implementation of the fermionic cluster expansion of Gaudin, Gillespie and Ripka (Nucl. Phys. A, 176.2 (1971), pp. 237–260).","lang":"eng"}],"researchdata_availability":"no","doi":"10.1017/fms.2024.56","quality_controlled":"1"},{"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"doi_confirm":"1","date_updated":"2026-10-21T08:29:08Z","das_tickbox":"0","title":"Energies of dilute Fermi gases and universalities in BCS theory","oa":1,"related_material":{"record":[{"status":"public","id":"11732","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"14542","status":"public"},{"status":"public","id":"18107","relation":"part_of_dissertation"},{"id":"17240","relation":"part_of_dissertation","status":"public"},{"status":"public","relation":"part_of_dissertation","id":"14931"}]},"day":"23","page":"353","date_created":"2024-09-24T10:56:25Z","month":"09","supplementarymaterial":"no","type":"dissertation","ddc":["515","539"],"file":[{"checksum":"c7bc3b31e430d57c65393051ca439575","file_size":3648831,"file_id":"18147","relation":"main_file","content_type":"application/pdf","creator":"alaurits","file_name":"Lauritsen-thesis-final.pdf","date_created":"2024-09-26T13:11:24Z","access_level":"open_access","date_updated":"2024-09-26T13:11:24Z","success":1},{"checksum":"39f6b1b7f83e25a3bf9f933f1ea0bc06","file_id":"18148","file_size":1625888,"relation":"source_file","content_type":"application/x-zip-compressed","creator":"alaurits","file_name":"Lauritsen-thesis-source.zip","date_created":"2024-09-26T13:12:55Z","access_level":"closed","date_updated":"2024-09-26T13:12:55Z"}],"department":[{"_id":"GradSch"},{"_id":"RoSe"}],"language":[{"iso":"eng"}],"has_accepted_license":"1","alternative_title":["ISTA Thesis"],"corr_author":"1","OA_place":"publisher","file_date_updated":"2024-09-26T13:12:55Z","ec_funded":1,"supervisor":[{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"publication_identifier":{"isbn":["978-3-99078-042-8"],"issn":["2663-337X"]},"publisher":"Institute of Science and Technology Austria","year":"2024","_id":"18135","degree_awarded":"PhD","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","article_processing_charge":"No","citation":{"chicago":"Lauritsen, Asbjørn Bækgaard. “Energies of Dilute Fermi Gases and Universalities in BCS Theory.” Institute of Science and Technology Austria, 2024. https://doi.org/10.15479/at:ista:18135.","mla":"Lauritsen, Asbjørn Bækgaard. Energies of Dilute Fermi Gases and Universalities in BCS Theory. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:18135.","short":"A.B. Lauritsen, Energies of Dilute Fermi Gases and Universalities in BCS Theory, Institute of Science and Technology Austria, 2024.","apa":"Lauritsen, A. B. (2024). Energies of dilute Fermi gases and universalities in BCS theory. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:18135","ieee":"A. B. Lauritsen, “Energies of dilute Fermi gases and universalities in BCS theory,” Institute of Science and Technology Austria, 2024.","ista":"Lauritsen AB. 2024. Energies of dilute Fermi gases and universalities in BCS theory. Institute of Science and Technology Austria.","ama":"Lauritsen AB. Energies of dilute Fermi gases and universalities in BCS theory. 2024. doi:10.15479/at:ista:18135"},"oa_version":"Published Version","fulldoi":"https://doi.org/10.15479/at:ista:18135","date_published":"2024-09-23T00:00:00Z","project":[{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427"},{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"abstract":[{"text":"This thesis consists of two separate parts. In the first part we consider a dilute Fermi gas interacting through a repulsive interaction in dimensions $d=1,2,3$. Our focus is mostly on the physically most relevant dimension $d=3$ \r\nand the setting of a spin-polarized (equivalently spinless) gas, where the Pauli exclusion principle plays a key role. We show that, at zero temperature, the ground state energy density of the interacting spin-polarized gas differs (to leading order) from that of the free (i.e. non-interacting) gas by a term of order $a_p^d\\rho^{2+2/d}$ with $a_p$ the $p$-wave scattering length of the repulsive interaction and $\\rho$ the density. Further, we extend this to positive temperature and show that the pressure of an interacting spin-polarized gas differs from that of the free gas by a now temperature dependent term, again of order $a_p^d\\rho^{2+2/d}$. Lastly, we consider the setting of a spin-$\\frac{1}{2}$ Fermi gas in $d=3$ dimensions and show that here, as an upper bound, the ground state energy density differs from that of the free system by a term of order $a_s \\rho^2$ with an error smaller than $a_s \\rho^2 (a_s\\rho^{1/3})^{1-\\eps}$ for any $\\eps > 0$, where $a_s$ is the $s$-wave scattering length of the repulsive interaction. \r\n\r\nThese asymptotic formulas complement the similar formulas in the literature for the dilute Bose and spin-$\\frac{1}{2}$ Fermi gas, where the ground state energies or pressures differ from that of the corresponding free systems by a term of order $a_s \\rho^2$ in dimension $d=3$. In the spin-polarized setting, the corrections, of order $a_p^3\\rho^{8/3}$ in dimension $d=3$, are thus much smaller and requires a more delicate analysis.\r\n\r\nIn the second part of the thesis we consider the Bardeen--Cooper--Schrieffer (BCS) theory of superconductivity and in particular its associated critical temperature and energy gap. We prove that the ratio of the zero-temperature energy gap and critical temperature $\\Xi(T=0)/T_c$ approaches a universal constant $\\pi e^{-\\gamma}\\approx 1.76$ in both the limit of high density in dimension $d=3$ and in the limit of weak coupling in dimensions $d=1,2$. This complements the proofs in the literature of this universal behaviour in the limit of weak coupling or low density in dimension $d=3$. Secondly, we prove that the ratio of the energy gap at positive temperature and critical temperature $\\Xi(T)/T_c$ approaches a universal function of the relative temperature $T/T_c$ in the limit of weak coupling in dimensions $d=1,2,3$.","lang":"eng"}],"publication_status":"published","author":[{"orcid":"0000-0003-4476-2288","first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","full_name":"Lauritsen, Asbjørn Bækgaard","last_name":"Lauritsen"}],"researchdata_availability":"no","doi":"10.15479/at:ista:18135"},{"date_updated":"2026-10-21T08:29:09Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"title":"Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion","das_tickbox":"1","oa":1,"day":"01","related_material":{"record":[{"status":"public","id":"18135","relation":"dissertation_contains"}]},"ddc":["510"],"type":"journal_article","month":"04","supplementarymaterial":"no","acknowledgement":"A.B.L. would like to thank Johannes Agerskov and Jan Philip Solovej for valuable discussions. We thank Alessandro Giuliani for helpful discussions and for pointing out the reference [18]. Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is acknowledged. Financial support by the Austrian Science Fund (FWF) through project number I 6427-N (as part of the SFB/TRR 352) is gratefully acknowledged.","volume":286,"article_type":"original","date_created":"2024-02-04T23:00:53Z","language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"RoSe"}],"dataavailabilitystatement":"No data was used for the research described in the article.","file":[{"file_name":"2024_JourFunctAnalysis_Lauritsen.pdf","creator":"dernst","success":1,"date_updated":"2024-07-22T11:11:56Z","date_created":"2024-07-22T11:11:56Z","access_level":"open_access","file_size":1381063,"file_id":"17305","checksum":"ee203cf2dc4420ad90d3c9970d246a78","content_type":"application/pdf","relation":"main_file"}],"scopus_import":"1","file_date_updated":"2024-07-22T11:11:56Z","corr_author":"1","has_accepted_license":"1","publisher":"Elsevier","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"ec_funded":1,"year":"2024","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","_id":"14931","citation":{"chicago":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110320.","mla":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal of Functional Analysis, vol. 286, no. 7, 110320, Elsevier, 2024, doi:10.1016/j.jfa.2024.110320.","short":"A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).","ista":"Lauritsen AB, Seiringer R. 2024. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. 286(7), 110320.","apa":"Lauritsen, A. B., & Seiringer, R. (2024). Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110320","ieee":"A. B. Lauritsen and R. Seiringer, “Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion,” Journal of Functional Analysis, vol. 286, no. 7. Elsevier, 2024.","ama":"Lauritsen AB, Seiringer R. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. 2024;286(7). doi:10.1016/j.jfa.2024.110320"},"external_id":{"arxiv":["2301.04894"],"isi":["001170294000001"]},"article_processing_charge":"Yes (via OA deal)","publication":"Journal of Functional Analysis","article_number":"110320","fulldoi":"https://doi.org/10.1016/j.jfa.2024.110320","date_published":"2024-04-01T00:00:00Z","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b"}],"oa_version":"Published Version","isi":1,"issue":"7","author":[{"first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","last_name":"Lauritsen","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"publication_status":"published","abstract":[{"lang":"eng","text":"We prove an upper bound on the ground state energy of the dilute spin-polarized Fermi gas capturing the leading correction to the kinetic energy resulting from repulsive interactions. One of the main ingredients in the proof is a rigorous implementation of the fermionic cluster expansion of Gaudin et al. (1971) [15]."}],"intvolume":" 286","researchdata_availability":"not applicable","doi":"10.1016/j.jfa.2024.110320","quality_controlled":"1"}]