[{"publication":"Communications on Pure and Applied Mathematics","acknowledgement":"We thank the referees for valuable remarks. This work was partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via the TRR 352 – Project-ID 470903074. PTN was partially supported by the European Research Council via the ERC Consolidator Grant RAMBAS – Project-Nr. 10104424.\r\nOpen access publishing facilitated by Università degli Studi di Milano, as part of the Wiley - CRUI-CARE agreement.","article_processing_charge":"Yes (via OA deal)","title":"The Huang–Yang formula for the low-density Fermi gas: Upper bound","quality_controlled":"1","scopus_import":"1","doi":"10.1002/cpa.70040","oa_version":"Published Version","external_id":{"arxiv":["2409.17914"]},"OA_place":"publisher","author":[{"first_name":"Emanuela L.","last_name":"Giacomelli","full_name":"Giacomelli, Emanuela L."},{"full_name":"Hainzl, Christian","first_name":"Christian","last_name":"Hainzl"},{"first_name":"Phan Thành","last_name":"Nam","full_name":"Nam, Phan Thành"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer"}],"publication_identifier":{"eissn":["1097-0312"],"issn":["0010-3640"]},"date_created":"2026-03-22T23:04:33Z","arxiv":1,"status":"public","month":"03","year":"2026","main_file_link":[{"url":"https://doi.org/10.1002/cpa.70040","open_access":"1"}],"date_published":"2026-03-13T00:00:00Z","department":[{"_id":"RoSe"}],"publication_status":"epub_ahead","abstract":[{"lang":"eng","text":"We study the ground state energy of a gas of spin 1/2 fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density e, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low-density expansion, and in particular the Huang–Yang correction term of order e^7/3. Our trial state is constructed using an adaptation of the bosonic Bogoliubov theory to the Fermi system, where the correlation structure of fermionic particles is incorporated by quasi-bosonic Bogoliubov transformations. In the latter, it is important to consider a modified zero-energy scattering equation that takes into account the presence of the Fermi sea, in the spirit of the Bethe–Goldstone equation."}],"language":[{"iso":"eng"}],"date_updated":"2026-03-23T13:32:14Z","type":"journal_article","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Giacomelli, Emanuela L., et al. “The Huang–Yang Formula for the Low-Density Fermi Gas: Upper Bound.” Communications on Pure and Applied Mathematics, Wiley, 2026, doi:10.1002/cpa.70040.","ama":"Giacomelli EL, Hainzl C, Nam PT, Seiringer R. The Huang–Yang formula for the low-density Fermi gas: Upper bound. Communications on Pure and Applied Mathematics. 2026. doi:10.1002/cpa.70040","short":"E.L. Giacomelli, C. Hainzl, P.T. Nam, R. Seiringer, Communications on Pure and Applied Mathematics (2026).","ieee":"E. L. Giacomelli, C. Hainzl, P. T. Nam, and R. Seiringer, “The Huang–Yang formula for the low-density Fermi gas: Upper bound,” Communications on Pure and Applied Mathematics. Wiley, 2026.","chicago":"Giacomelli, Emanuela L., Christian Hainzl, Phan Thành Nam, and Robert Seiringer. “The Huang–Yang Formula for the Low-Density Fermi Gas: Upper Bound.” Communications on Pure and Applied Mathematics. Wiley, 2026. https://doi.org/10.1002/cpa.70040.","apa":"Giacomelli, E. L., Hainzl, C., Nam, P. T., & Seiringer, R. (2026). The Huang–Yang formula for the low-density Fermi gas: Upper bound. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.70040","ista":"Giacomelli EL, Hainzl C, Nam PT, Seiringer R. 2026. The Huang–Yang formula for the low-density Fermi gas: Upper bound. Communications on Pure and Applied Mathematics."},"day":"13","publisher":"Wiley","_id":"21472","article_type":"original","OA_type":"hybrid"},{"publication_status":"published","department":[{"_id":"RoSe"}],"corr_author":"1","ec_funded":1,"date_published":"2025-08-01T00:00:00Z","year":"2025","status":"public","month":"08","isi":1,"date_created":"2024-09-15T22:01:42Z","arxiv":1,"author":[{"full_name":"Fialova, Marie","id":"e9c9844d-9e21-11ec-b482-f96fc09f7c4d","first_name":"Marie","last_name":"Fialova"}],"intvolume":" 26","publication_identifier":{"issn":["1424-0637"]},"OA_place":"publisher","file":[{"relation":"main_file","creator":"dernst","content_type":"application/pdf","file_id":"20124","file_size":728124,"checksum":"d8d2d6dbce293c9ee6eaa9262e597147","success":1,"file_name":"2025_AnnalesHenriPoincare_Fialova.pdf","access_level":"open_access","date_updated":"2025-08-05T11:24:25Z","date_created":"2025-08-05T11:24:25Z"}],"doi":"10.1007/s00023-024-01482-7","file_date_updated":"2025-08-05T11:24:25Z","oa_version":"Published Version","external_id":{"arxiv":["2304.13373"],"isi":["001304370000001"]},"ddc":["510"],"scopus_import":"1","title":"Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition","quality_controlled":"1","article_processing_charge":"Yes (via OA deal)","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).","publication":"Annales Henri Poincare","page":"2859-2900","OA_type":"hybrid","_id":"18074","article_type":"original","publisher":"Springer Nature","day":"01","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.","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.","ista":"Fialova M. 2025. Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition. Annales Henri Poincare. 26, 2859–2900.","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.","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.","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"},"license":"https://creativecommons.org/licenses/by/4.0/","has_accepted_license":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","project":[{"call_identifier":"H2020","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program"}],"type":"journal_article","volume":26,"date_updated":"2025-09-30T10:22:14Z","PlanS_conform":"1","abstract":[{"lang":"eng","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."}],"language":[{"iso":"eng"}]},{"quality_controlled":"1","title":"Renormalized Bogoliubov theory for the Nelson model","oa_version":"Preprint","doi":"10.4171/aihpc/154","external_id":{"arxiv":["2305.06722"]},"OA_place":"repository","publication":"Annales de l'Institut Henri Poincaré C","article_processing_charge":"No","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2305.06722"}],"date_published":"2025-05-06T00:00:00Z","department":[{"_id":"RoSe"}],"publication_status":"epub_ahead","publication_identifier":{"issn":["0294-1449"],"eissn":["1873-1430"]},"author":[{"last_name":"Falconi","first_name":"Marco","full_name":"Falconi, Marco"},{"full_name":"Lampart, Jonas","first_name":"Jonas","last_name":"Lampart"},{"full_name":"Leopold, Nikolai","first_name":"Nikolai","last_name":"Leopold"},{"last_name":"Mitrouskas","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"}],"arxiv":1,"date_created":"2025-07-21T07:59:16Z","month":"05","status":"public","year":"2025","citation":{"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","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.","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.","short":"M. Falconi, J. Lampart, N. Leopold, D.J. Mitrouskas, Annales de l’Institut Henri Poincaré C (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","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."},"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","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."}],"date_updated":"2025-12-30T07:31:09Z","type":"journal_article","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"OA_type":"green","DOAJ_listed":"1","day":"06","publisher":"EMS Press","article_type":"original","_id":"20045"},{"article_type":"original","_id":"20251","day":"01","publisher":"Springer Nature","OA_type":"green","oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":64,"type":"journal_article","date_updated":"2025-09-30T14:27:35Z","abstract":[{"lang":"eng","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."}],"language":[{"iso":"eng"}],"citation":{"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).","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","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","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.","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.","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."},"issue":"7","article_number":"226","year":"2025","status":"public","month":"09","isi":1,"date_created":"2025-08-31T22:01:31Z","arxiv":1,"author":[{"last_name":"Carlen","first_name":"Eric","full_name":"Carlen, Eric"},{"full_name":"Lewin, Mathieu","last_name":"Lewin","first_name":"Mathieu"},{"last_name":"Lieb","first_name":"Elliott H.","full_name":"Lieb, Elliott H."},{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publication_identifier":{"eissn":["1432-0835"],"issn":["0944-2669"]},"intvolume":" 64","publication_status":"published","department":[{"_id":"RoSe"}],"date_published":"2025-09-01T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2410.20113"}],"article_processing_charge":"No","acknowledgement":"We are grateful to Rupert Frank and Enno Lenzmann for helpful discussions.","publication":"Calculus of Variations and Partial Differential Equations","OA_place":"repository","external_id":{"isi":["001558641300006"],"arxiv":["2410.20113"]},"oa_version":"Preprint","doi":"10.1007/s00526-025-03062-x","scopus_import":"1","title":"Stability estimate for the Lane–Emden inequality","quality_controlled":"1"},{"article_processing_charge":"No","publication":"Annales Henri Poincare","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.","external_id":{"arxiv":["2405.05251"],"isi":["001586237500001"]},"oa_version":"Preprint","doi":"10.1007/s00023-025-01626-3","OA_place":"repository","title":"Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field","quality_controlled":"1","scopus_import":"1","status":"public","month":"10","year":"2025","author":[{"full_name":"Cárdenas, Esteban","last_name":"Cárdenas","first_name":"Esteban"},{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes"}],"publication_identifier":{"issn":["1424-0637"]},"isi":1,"date_created":"2025-10-19T22:01:32Z","arxiv":1,"department":[{"_id":"RoSe"}],"publication_status":"epub_ahead","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2405.05251"}],"date_published":"2025-10-03T00:00:00Z","type":"journal_article","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","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."}],"language":[{"iso":"eng"}],"date_updated":"2025-12-01T12:56:12Z","citation":{"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.","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.","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.","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","short":"E. Cárdenas, D.J. Mitrouskas, Annales Henri Poincare (2025)."},"_id":"20495","article_type":"original","day":"03","publisher":"Springer Nature","OA_type":"green"},{"date_created":"2025-03-09T23:01:28Z","arxiv":1,"author":[{"last_name":"Brooks","first_name":"Morris","full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928"},{"last_name":"Mitrouskas","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"}],"intvolume":" 6","publication_identifier":{"eissn":["2690-1005"],"issn":["2690-0998"]},"year":"2025","status":"public","month":"02","corr_author":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2306.16373","open_access":"1"}],"date_published":"2025-02-23T00:00:00Z","publication_status":"published","department":[{"_id":"RoSe"}],"acknowledgement":"M.B. gratefully acknowledges funding from the ERC Advanced Grant ERC-AdG CLaQS, grant agreement n. 83478.","publication":"Probability and Mathematical Physics","article_processing_charge":"No","scopus_import":"1","title":" Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling","quality_controlled":"1","OA_place":"repository","doi":"10.2140/pmp.2025.6.281","external_id":{"arxiv":["2306.16373"]},"oa_version":"Preprint","publisher":"Mathematical Sciences Publishers","day":"23","article_type":"original","_id":"19372","OA_type":"green","page":"281-325","date_updated":"2025-03-10T07:19:02Z","abstract":[{"lang":"eng","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."}],"language":[{"iso":"eng"}],"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","type":"journal_article","volume":6,"issue":"1","citation":{"short":"M. Brooks, D.J. Mitrouskas, Probability and Mathematical Physics 6 (2025) 281–325.","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","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.","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","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.","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."}},{"scopus_import":"1","title":"BCS critical temperature on half-spaces","quality_controlled":"1","OA_place":"publisher","file":[{"date_created":"2025-03-17T10:07:45Z","date_updated":"2025-03-17T10:07:45Z","access_level":"open_access","file_name":"2025_ArchiveRatMech_Roos.pdf","success":1,"checksum":"66803fb63a57987eb4f13ee2949bea77","file_size":1224282,"content_type":"application/pdf","creator":"dernst","file_id":"19412","relation":"main_file"}],"file_date_updated":"2025-03-17T10:07:45Z","oa_version":"Published Version","doi":"10.1007/s00205-025-02088-x","external_id":{"isi":["001435380100001"],"arxiv":["2306.05824"],"pmid":["40041541"]},"ddc":["510"],"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). Financial support by the Austrian Science Fund (FWF) through project number I 6427-N (as part of the SFB/TRR 352) is gratefully acknowledged.","pmid":1,"publication":"Archive for Rational Mechanics and Analysis","article_processing_charge":"Yes (via OA deal)","corr_author":"1","date_published":"2025-04-01T00:00:00Z","publication_status":"published","department":[{"_id":"RoSe"}],"date_created":"2025-03-16T23:01:24Z","isi":1,"arxiv":1,"author":[{"orcid":"0000-0002-9071-5880","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","full_name":"Roos, Barbara","first_name":"Barbara","last_name":"Roos"},{"last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"intvolume":" 249","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"year":"2025","status":"public","month":"04","article_number":"20","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"has_accepted_license":"1","citation":{"ista":"Roos B, Seiringer R. 2025. BCS critical temperature on half-spaces. Archive for Rational Mechanics and Analysis. 249, 20.","ieee":"B. Roos and R. Seiringer, “BCS critical temperature on half-spaces,” Archive for Rational Mechanics and Analysis, vol. 249. Springer Nature, 2025.","chicago":"Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.” Archive for Rational Mechanics and Analysis. Springer Nature, 2025. https://doi.org/10.1007/s00205-025-02088-x.","apa":"Roos, B., & Seiringer, R. (2025). BCS critical temperature on half-spaces. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-025-02088-x","ama":"Roos B, Seiringer R. BCS critical temperature on half-spaces. Archive for Rational Mechanics and Analysis. 2025;249. doi:10.1007/s00205-025-02088-x","short":"B. Roos, R. Seiringer, Archive for Rational Mechanics and Analysis 249 (2025).","mla":"Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.” Archive for Rational Mechanics and Analysis, vol. 249, 20, Springer Nature, 2025, doi:10.1007/s00205-025-02088-x."},"date_updated":"2025-09-30T11:01:08Z","abstract":[{"lang":"eng","text":"We study the BCS critical temperature on half-spaces in dimensions d =1, 2, 3 with Dirichlet or Neumann boundary conditions. We prove that the critical temperature on a half-space is strictly higher than on Rd, at least at weak coupling in d = 1, 2 and weak coupling and small chemical potential in d = 3. Furthermore, we show that the relative shift in critical temperature vanishes in the weak coupling limit."}],"language":[{"iso":"eng"}],"oa":1,"project":[{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","grant_number":"I06427","name":"Mathematical Challenges in BCS Theory of Superconductivity"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":249,"type":"journal_article","OA_type":"hybrid","day":"01","publisher":"Springer Nature","_id":"19403","article_type":"original"},{"citation":{"ama":"Roos B, Seiringer R. Enhanced superconductivity at a corner for the linear BCS equation. Forum of Mathematics, Sigma. 2025;13. doi:10.1017/fms.2024.145","short":"B. Roos, R. Seiringer, Forum of Mathematics, Sigma 13 (2025).","mla":"Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner for the Linear BCS Equation.” Forum of Mathematics, Sigma, vol. 13, e71, Cambridge University Press, 2025, doi:10.1017/fms.2024.145.","ista":"Roos B, Seiringer R. 2025. Enhanced superconductivity at a corner for the linear BCS equation. Forum of Mathematics, Sigma. 13, e71.","chicago":"Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner for the Linear BCS Equation.” Forum of Mathematics, Sigma. Cambridge University Press, 2025. https://doi.org/10.1017/fms.2024.145.","ieee":"B. Roos and R. Seiringer, “Enhanced superconductivity at a corner for the linear BCS equation,” Forum of Mathematics, Sigma, vol. 13. Cambridge University Press, 2025.","apa":"Roos, B., & Seiringer, R. (2025). Enhanced superconductivity at a corner for the linear BCS equation. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2024.145"},"has_accepted_license":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_number":"e71","volume":13,"type":"journal_article","project":[{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","grant_number":"I06427","name":"Mathematical Challenges in BCS Theory of Superconductivity"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"language":[{"iso":"eng"}],"PlanS_conform":"1","abstract":[{"lang":"eng","text":"We consider the critical temperature for superconductivity, defined via the linear BCS equation. We prove that at weak coupling the critical temperature for a sample confined to a quadrant in two dimensions is strictly larger than the one for a half-space, which in turn is strictly larger than the one for R^2. Furthermore, we prove that the relative difference of the critical temperatures vanishes in the weak coupling limit."}],"date_updated":"2025-09-30T12:20:22Z","DOAJ_listed":"1","OA_type":"gold","article_type":"original","_id":"19628","publisher":"Cambridge University Press","day":"14","ddc":["510"],"file_date_updated":"2025-05-05T09:41:42Z","oa_version":"Published Version","external_id":{"isi":["001465985500001"],"arxiv":["2308.07115"]},"doi":"10.1017/fms.2024.145","OA_place":"publisher","file":[{"content_type":"application/pdf","file_id":"19651","creator":"dernst","success":1,"checksum":"b0919b3a14f2cb39f8df0e3f41b8d6f1","file_size":631645,"access_level":"open_access","file_name":"2025_ForumMathSigma_Roos.pdf","date_created":"2025-05-05T09:41:42Z","date_updated":"2025-05-05T09:41:42Z","relation":"main_file"}],"quality_controlled":"1","title":"Enhanced superconductivity at a corner for the linear BCS equation","scopus_import":"1","article_processing_charge":"Yes","publication":"Forum of Mathematics, Sigma","department":[{"_id":"RoSe"}],"publication_status":"published","date_published":"2025-04-14T00:00:00Z","corr_author":"1","month":"04","status":"public","year":"2025","intvolume":" 13","publication_identifier":{"eissn":["2050-5094"]},"author":[{"orcid":"0000-0002-9071-5880","full_name":"Roos, Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","first_name":"Barbara","last_name":"Roos"},{"last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"arxiv":1,"isi":1,"date_created":"2025-04-27T22:02:14Z"},{"date_updated":"2025-09-30T12:23:41Z","language":[{"iso":"eng"}],"abstract":[{"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.","lang":"eng"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"type":"journal_article","volume":41,"issue":"3","has_accepted_license":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"citation":{"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","short":"B.M. Gerhát, D. Krejčiřík, F. Štampach, Revista Matematica Iberoamericana 41 (2025) 1173–1200.","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.","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.","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.","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.","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"},"publisher":"EMS Press","day":"23","article_type":"original","_id":"19642","OA_type":"gold","DOAJ_listed":"1","page":"1173-1200","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","publication":"Revista Matematica Iberoamericana","article_processing_charge":"Yes","scopus_import":"1","quality_controlled":"1","title":"Criticality transition for positive powers of the discrete Laplacian on the half line","OA_place":"publisher","file":[{"creator":"dernst","file_id":"19656","content_type":"application/pdf","file_size":555474,"checksum":"90031b93459af54a6e63ddf2818c6f42","success":1,"file_name":"2025_RevistaMat_Gerhat.pdf","access_level":"open_access","date_updated":"2025-05-05T11:38:34Z","date_created":"2025-05-05T11:38:34Z","relation":"main_file"}],"ddc":["510"],"external_id":{"isi":["001476507600013"],"arxiv":["2307.09919"]},"oa_version":"Published Version","doi":"10.4171/RMI/1523","file_date_updated":"2025-05-05T11:38:34Z","arxiv":1,"isi":1,"date_created":"2025-05-04T22:02:32Z","publication_identifier":{"issn":["0213-2230"],"eissn":["2235-0616"]},"intvolume":" 41","author":[{"first_name":"Borbála M","last_name":"Gerhát","id":"00ffceaa-f31d-11ee-93bd-f7e13e61af5e","full_name":"Gerhát, Borbála M"},{"last_name":"Krejčiřík","first_name":"David","full_name":"Krejčiřík, David"},{"full_name":"Štampach, František","last_name":"Štampach","first_name":"František"}],"year":"2025","month":"01","status":"public","corr_author":"1","date_published":"2025-01-23T00:00:00Z","publication_status":"published","department":[{"_id":"RoSe"}]},{"language":[{"iso":"eng"}],"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"}],"date_updated":"2025-09-30T12:25:19Z","volume":249,"type":"journal_article","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"has_accepted_license":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_number":"30","issue":"3","citation":{"ista":"Mitrouskas DJ. 2025. The weakly coupled two-dimensional Fermi polaron. Archive for Rational Mechanics and Analysis. 249(3), 30.","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","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.","ieee":"D. J. Mitrouskas, “The weakly coupled two-dimensional Fermi polaron,” Archive for Rational Mechanics and Analysis, vol. 249, no. 3. Springer Nature, 2025.","short":"D.J. Mitrouskas, Archive for Rational Mechanics and Analysis 249 (2025).","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","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."},"day":"01","publisher":"Springer Nature","_id":"19660","article_type":"original","OA_type":"hybrid","publication":"Archive for Rational Mechanics and Analysis","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_processing_charge":"Yes (via OA deal)","quality_controlled":"1","title":"The weakly coupled two-dimensional Fermi polaron","scopus_import":"1","ddc":["530"],"doi":"10.1007/s00205-025-02098-9","external_id":{"isi":["001482770500001"]},"oa_version":"Published Version","file_date_updated":"2025-05-12T07:27:28Z","file":[{"date_updated":"2025-05-12T07:27:28Z","date_created":"2025-05-12T07:27:28Z","access_level":"open_access","file_name":"2025_ArchiveRatioMechanics_Mitrouskas.pdf","checksum":"3606ebd34d59d03f8c66a3a1794c3e4f","success":1,"file_size":886318,"file_id":"19676","creator":"dernst","content_type":"application/pdf","relation":"main_file"}],"OA_place":"publisher","intvolume":" 249","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"author":[{"last_name":"Mitrouskas","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"}],"isi":1,"date_created":"2025-05-11T22:02:37Z","month":"06","status":"public","year":"2025","date_published":"2025-06-01T00:00:00Z","corr_author":"1","department":[{"_id":"RoSe"}],"publication_status":"published"},{"volume":58,"type":"journal_article","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"language":[{"iso":"eng"}],"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"}],"date_updated":"2025-09-30T12:24:45Z","citation":{"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.","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","short":"E. Cárdenas, D.J. Mitrouskas, Journal of Physics A: Mathematical and Theoretical 58 (2025).","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.","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."},"has_accepted_license":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_number":"175201","issue":"17","article_type":"original","_id":"19661","day":"28","publisher":"IOP Publishing","OA_type":"hybrid","article_processing_charge":"Yes (in subscription journal)","publication":"Journal of Physics A: Mathematical and Theoretical","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´","ddc":["530"],"external_id":{"arxiv":["2412.01670"],"isi":["001474094200001"]},"doi":"10.1088/1751-8121/adcdd9","file_date_updated":"2025-05-12T07:13:07Z","oa_version":"Published Version","file":[{"success":1,"checksum":"a181e1c2d8df08eb683a355e81c5e85a","file_size":551190,"content_type":"application/pdf","file_id":"19675","creator":"dernst","date_updated":"2025-05-12T07:13:07Z","date_created":"2025-05-12T07:13:07Z","access_level":"open_access","file_name":"2025_JourPhysicsA_Cardenas.pdf","relation":"main_file"}],"OA_place":"publisher","quality_controlled":"1","title":"The renormalized Nelson model in the weak coupling limit","scopus_import":"1","month":"04","status":"public","year":"2025","publication_identifier":{"eissn":["1751-8121"],"issn":["1751-8113"]},"intvolume":" 58","author":[{"last_name":"Cárdenas","first_name":"Esteban","full_name":"Cárdenas, Esteban"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","last_name":"Mitrouskas"}],"arxiv":1,"date_created":"2025-05-11T22:02:37Z","isi":1,"department":[{"_id":"RoSe"}],"publication_status":"published","date_published":"2025-04-28T00:00:00Z","corr_author":"1"},{"article_processing_charge":"Yes (in subscription journal)","publication":"Reviews in Mathematical Physics","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).","external_id":{"isi":["001481012500001"],"arxiv":["2501.17029"]},"file_date_updated":"2025-12-30T08:23:12Z","doi":"10.1142/S0129055X25500114","oa_version":"Published Version","ddc":["530","510"],"OA_place":"publisher","file":[{"relation":"main_file","date_updated":"2025-12-30T08:23:12Z","date_created":"2025-12-30T08:23:12Z","access_level":"open_access","file_name":"2025_ReviewsMathPhysics_Fialova.pdf","checksum":"559d97ee2da28bf0bd2c6af507f3a914","success":1,"file_size":484646,"creator":"dernst","file_id":"20893","content_type":"application/pdf"}],"title":"Virtual bound states of the Pauli operator with an Aharonov–Bohm potential","quality_controlled":"1","scopus_import":"1","status":"public","month":"07","year":"2025","author":[{"full_name":"Fialova, Marie","id":"e9c9844d-9e21-11ec-b482-f96fc09f7c4d","first_name":"Marie","last_name":"Fialova"},{"last_name":"Krejčiřík","first_name":"David","full_name":"Krejčiřík, David"}],"publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"intvolume":" 37","date_created":"2025-05-18T22:02:51Z","isi":1,"arxiv":1,"department":[{"_id":"RoSe"}],"publication_status":"published","ec_funded":1,"date_published":"2025-07-01T00:00:00Z","type":"journal_article","volume":37,"oa":1,"project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","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"}],"PlanS_conform":"1","language":[{"iso":"eng"}],"date_updated":"2025-12-30T08:24:05Z","citation":{"short":"M. Fialova, D. Krejčiřík, Reviews in Mathematical Physics 37 (2025).","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","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.","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.","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","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.","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."},"has_accepted_license":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"issue":"6","article_number":"2550011","article_type":"original","_id":"19705","publisher":"World Scientific Publishing","day":"01","OA_type":"hybrid"},{"OA_type":"green","article_type":"original","_id":"21270","day":"18","publisher":"American Physical Society","citation":{"ieee":"J. Taylor, M. Čufar, D. J. Mitrouskas, R. Seiringer, E. Pahl, and J. Brand, “Bound excited states of Fröhlich polarons in one dimension,” Physical Review B, vol. 112, no. 18. American Physical Society, 2025.","chicago":"Taylor, J., M. Čufar, David Johannes Mitrouskas, Robert Seiringer, E. Pahl, and J. Brand. “Bound Excited States of Fröhlich Polarons in One Dimension.” Physical Review B. American Physical Society, 2025. https://doi.org/10.1103/s9p9-jflq.","apa":"Taylor, J., Čufar, M., Mitrouskas, D. J., Seiringer, R., Pahl, E., & Brand, J. (2025). Bound excited states of Fröhlich polarons in one dimension. Physical Review B. American Physical Society. https://doi.org/10.1103/s9p9-jflq","ista":"Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. 2025. Bound excited states of Fröhlich polarons in one dimension. Physical Review B. 112(18), 184312.","mla":"Taylor, J., et al. “Bound Excited States of Fröhlich Polarons in One Dimension.” Physical Review B, vol. 112, no. 18, 184312, American Physical Society, 2025, doi:10.1103/s9p9-jflq.","ama":"Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. Bound excited states of Fröhlich polarons in one dimension. Physical Review B. 2025;112(18). doi:10.1103/s9p9-jflq","short":"J. Taylor, M. Čufar, D.J. Mitrouskas, R. Seiringer, E. Pahl, J. Brand, Physical Review B 112 (2025)."},"issue":"18","article_number":"184312","type":"journal_article","volume":112,"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"The one-dimensional Fröhlich model describing the motion of a single electron interacting with optical phonons is a paradigmatic model of quantum many-body physics. We predict the existence of an arbitrarily large number of bound excited states in the strong-coupling limit and calculate their excitation energies. Numerical simulations of a discretized model demonstrate the complete amelioration of the projector Monte Carlo sign problem by walker annihilation in an infinite Hilbert space. They reveal the threshold for the occurrence of the first bound excited states at a value of 𝛼≈1.73 for the dimensionless coupling constant. This puts the threshold into the regime of intermediate interaction strength. We find a significant spectral weight and increased phonon number of the bound excited state at threshold."}],"language":[{"iso":"eng"}],"date_updated":"2026-02-18T08:23:59Z","department":[{"_id":"RoSe"}],"publication_status":"published","date_published":"2025-11-18T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2506.02440 "}],"status":"public","month":"11","year":"2025","author":[{"last_name":"Taylor","first_name":"J.","full_name":"Taylor, J."},{"full_name":"Čufar, M.","first_name":"M.","last_name":"Čufar"},{"first_name":"David Johannes","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert"},{"first_name":"E.","last_name":"Pahl","full_name":"Pahl, E."},{"first_name":"J.","last_name":"Brand","full_name":"Brand, J."}],"publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"intvolume":" 112","date_created":"2026-02-17T07:56:20Z","arxiv":1,"oa_version":"Preprint","external_id":{"arxiv":["2506.02440 "]},"doi":"10.1103/s9p9-jflq","OA_place":"repository","title":"Bound excited states of Fröhlich polarons in one dimension","quality_controlled":"1","scopus_import":"1","article_processing_charge":"No","publication":"Physical Review B","acknowledgement":"We are grateful to Dmytro Kolisnyk for his help in working out the spectrum of the Hessian. This work was supported by the Marsden Fund of New Zealand (Contract No. MAU2007) from government funding administered by the Royal Society Te Apārangi and by a summer scholarship from Te Whai Ao – Dodd-Walls Centre for Photonic and Quantum Technologies and the Physics Department, University of Auckland. We acknowledge support by the New Zealand eScience Infrastructure (NeSI) high-performance computing facilities in the form of a merit project allocation."},{"publication_status":"published","department":[{"_id":"LaEr"},{"_id":"RoSe"}],"corr_author":"1","date_published":"2025-01-09T00:00:00Z","ec_funded":1,"year":"2025","month":"01","status":"public","arxiv":1,"date_created":"2025-04-11T09:19:28Z","isi":1,"publication_identifier":{"eissn":["1664-0403"]},"intvolume":" 15","author":[{"last_name":"Henheik","first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X"},{"first_name":"Asbjørn Bækgaard","last_name":"Lauritsen","orcid":"0000-0003-4476-2288","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","full_name":"Lauritsen, Asbjørn Bækgaard"}],"file":[{"success":1,"checksum":"f49e06e8dba819f7ad52a202e287ebca","file_size":779158,"creator":"cchlebak","file_id":"19549","content_type":"application/pdf","date_updated":"2025-04-11T09:13:31Z","date_created":"2025-04-11T09:13:31Z","access_level":"open_access","file_name":"Henheik_JSpectralTheory_2025.pdf","relation":"main_file"}],"OA_place":"publisher","ddc":["500"],"external_id":{"isi":["001438931600009"],"arxiv":["2312.11310"]},"oa_version":"Published Version","file_date_updated":"2025-04-11T09:13:31Z","doi":"10.4171/JST/540","scopus_import":"1","quality_controlled":"1","title":"Universal behavior of the BCS energy gap","article_processing_charge":"No","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","publication":"Journal of Spectral Theory","DOAJ_listed":"1","page":"305–352","OA_type":"gold","article_type":"original","_id":"19548","publisher":"EMS Press","day":"09","related_material":{"record":[{"relation":"dissertation_contains","id":"19540","status":"public"}]},"citation":{"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","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.","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.","ista":"Henheik SJ, Lauritsen AB. 2025. Universal behavior of the BCS energy gap. Journal of Spectral Theory. 15(1), 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.","short":"S.J. Henheik, A.B. Lauritsen, Journal of Spectral Theory 15 (2025) 305–352.","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"},"issue":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"has_accepted_license":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"},{"name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b"}],"oa":1,"volume":15,"type":"journal_article","date_updated":"2026-04-07T12:37:11Z","language":[{"iso":"eng"}],"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 ."}]},{"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"18135"}]},"day":"01","publisher":"Springer Nature","article_type":"original","_id":"17240","OA_type":"hybrid","page":"203-243","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","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)."}],"PlanS_conform":"1","date_updated":"2026-04-07T13:01:40Z","volume":26,"type":"journal_article","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","project":[{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","grant_number":"I06427","name":"Mathematical Challenges in BCS Theory of Superconductivity"}],"oa":1,"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"has_accepted_license":"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","short":"A.B. Lauritsen, Annales Henri Poincare 26 (2025) 203–243.","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.","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.","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.","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.","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"},"publication_identifier":{"issn":["1424-0637"]},"intvolume":" 26","author":[{"last_name":"Lauritsen","first_name":"Asbjørn Bækgaard","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","orcid":"0000-0003-4476-2288"}],"date_created":"2024-07-14T22:01:12Z","isi":1,"month":"01","status":"public","year":"2025","date_published":"2025-01-01T00:00:00Z","corr_author":"1","department":[{"_id":"RoSe"}],"publication_status":"published","pmid":1,"publication":"Annales Henri Poincare","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.","article_processing_charge":"Yes (via OA deal)","quality_controlled":"1","title":"Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion","scopus_import":"1","ddc":["510"],"external_id":{"isi":["001261197700002"],"pmid":["39926012"]},"oa_version":"Published Version","doi":"10.1007/s00023-024-01450-1","file_date_updated":"2025-08-05T11:42:27Z","file":[{"date_updated":"2025-08-05T11:42:27Z","date_created":"2025-08-05T11:42:27Z","access_level":"open_access","file_name":"2025_AnnalesHenriPoincare_Lauritsen.pdf","checksum":"01b6572f55f721e97498522c85072ed2","success":1,"file_size":797241,"creator":"dernst","file_id":"20125","content_type":"application/pdf","relation":"main_file"}],"OA_place":"publisher"},{"OA_type":"green","page":"307-321","publisher":"Springer Nature","day":"04","place":"Cham","_id":"18948","citation":{"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.","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","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.","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.","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.","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","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."},"date_updated":"2025-01-29T10:35:10Z","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"}],"language":[{"iso":"eng"}],"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":215,"type":"book_chapter","series_title":"FTPH","date_published":"2024-02-04T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2304.12910"}],"publication_status":"published","editor":[{"last_name":"Bassi","first_name":"Angelo","full_name":"Bassi, Angelo"},{"last_name":"Goldstein","first_name":"Sheldon","full_name":"Goldstein, Sheldon"},{"first_name":"Roderich","last_name":"Tumulka","full_name":"Tumulka, Roderich"},{"last_name":"Zanghi","first_name":"Nino","full_name":"Zanghi, Nino"}],"department":[{"_id":"RoSe"}],"date_created":"2025-01-29T10:30:08Z","arxiv":1,"author":[{"last_name":"Bossmann","first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343"},{"full_name":"Leopold, Nikolai","last_name":"Leopold","first_name":"Nikolai"},{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes"},{"first_name":"Sören","last_name":"Petrat","full_name":"Petrat, Sören"}],"publication_identifier":{"issn":["0168-1222"],"eissn":["2365-6425"],"isbn":["9783031454332"],"eisbn":["9783031454349"]},"intvolume":" 215","year":"2024","status":"public","month":"02","scopus_import":"1","alternative_title":["Fundamental Theories of Physics"],"title":"Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications","quality_controlled":"1","OA_place":"repository","doi":"10.1007/978-3-031-45434-9_22","oa_version":"Preprint","external_id":{"arxiv":["2304.12910"]},"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.","publication":"Physics and the Nature of Reality","article_processing_charge":"No"},{"issue":"3","title":"Many-body quantum systems","quality_controlled":"1","citation":{"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","short":"C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 20 (2024) 2247–2302.","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.","ista":"Hainzl C, Schlein B, Seiringer R, Warzel S. 2024. Many-body quantum systems. Oberwolfach Reports. 20(3), 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.","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"},"oa_version":"None","doi":"10.4171/owr/2023/39","date_updated":"2025-01-29T13:19:06Z","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”.","publication":"Oberwolfach Reports","abstract":[{"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.","lang":"eng"}],"language":[{"iso":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":20,"type":"journal_article","article_processing_charge":"No","date_published":"2024-04-18T00:00:00Z","page":"2247-2302","publication_status":"published","department":[{"_id":"RoSe"}],"date_created":"2025-01-29T13:09:28Z","publisher":"EMS Press","day":"18","author":[{"full_name":"Hainzl, Christian","first_name":"Christian","last_name":"Hainzl"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Warzel","first_name":"Simone","full_name":"Warzel, Simone"}],"publication_identifier":{"issn":["1660-8933"],"eissn":["1660-8941"]},"intvolume":" 20","year":"2024","status":"public","month":"04","_id":"18958","article_type":"original"},{"_id":"15318","article_type":"original","publisher":"Springer Nature","day":"06","type":"journal_article","volume":191,"oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","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"}],"language":[{"iso":"eng"}],"date_updated":"2025-09-04T13:36:49Z","citation":{"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.","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.","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.","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).","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"},"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"has_accepted_license":"1","issue":"4","article_number":"48","status":"public","month":"04","year":"2024","author":[{"orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea","last_name":"Bossmann"},{"last_name":"Leopold","first_name":"Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822"},{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes"},{"last_name":"Petrat","first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889"}],"intvolume":" 191","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"date_created":"2024-04-14T22:01:02Z","isi":1,"arxiv":1,"department":[{"_id":"RoSe"}],"publication_status":"published","date_published":"2024-04-06T00:00:00Z","article_processing_charge":"Yes (via OA deal)","publication":"Journal of Statistical Physics","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.","doi":"10.1007/s10955-024-03260-5","external_id":{"isi":["001197663100002"],"arxiv":["2307.13115"]},"file_date_updated":"2024-04-16T11:09:37Z","oa_version":"Published Version","ddc":["510"],"file":[{"relation":"main_file","file_name":"2024_JourStatPhysics_Bossmann.pdf","access_level":"open_access","date_updated":"2024-04-16T11:09:37Z","date_created":"2024-04-16T11:09:37Z","creator":"dernst","file_id":"15325","content_type":"application/pdf","file_size":398665,"success":1,"checksum":"839242a9ec1c01158112de25f196e60d"}],"title":"A note on the binding energy for Bosons in the mean-field limit","quality_controlled":"1","scopus_import":"1"},{"OA_type":"hybrid","page":"271-309","publisher":"Springer Nature","day":"01","_id":"17478","article_type":"original","has_accepted_license":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"citation":{"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.","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","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.","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.","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","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."},"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."}],"language":[{"iso":"eng"}],"date_updated":"2025-09-08T09:08:36Z","volume":140,"type":"journal_article","oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-12-01T00:00:00Z","corr_author":"1","department":[{"_id":"RoSe"}],"publication_status":"published","author":[{"orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","first_name":"Morris","last_name":"Brooks"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer"}],"publication_identifier":{"eissn":["1618-1913"],"issn":["0073-8301"]},"intvolume":" 140","date_created":"2024-09-01T22:01:08Z","isi":1,"arxiv":1,"status":"public","month":"12","year":"2024","title":"The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass","quality_controlled":"1","scopus_import":"1","oa_version":"Published Version","file_date_updated":"2025-01-13T08:13:42Z","external_id":{"isi":["001297785000001"],"arxiv":["2211.03353"]},"doi":"10.1007/s10240-024-00150-0","ddc":["510"],"file":[{"relation":"main_file","creator":"dernst","file_id":"18824","content_type":"application/pdf","file_size":924342,"success":1,"checksum":"af3becc50f7534c9409d3ff8b5c47ed6","file_name":"2024_PublicMathIHES_Brooks.pdf","access_level":"open_access","date_created":"2025-01-13T08:13:42Z","date_updated":"2025-01-13T08:13:42Z"}],"OA_place":"publisher","publication":"Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques","article_processing_charge":"Yes (in subscription journal)"},{"OA_place":"repository","external_id":{"arxiv":["2409.17297"]},"doi":"10.48550/arXiv.2409.17297","citation":{"short":"S.J. Henheik, E. Langmann, A.B. Lauritsen, ArXiv (n.d.).","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.","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. .","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."},"oa_version":"Preprint","title":"Multi-band superconductors have enhanced critical temperatures","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","oa":1,"type":"preprint","article_processing_charge":"No","date_updated":"2026-04-07T12:37:11Z","language":[{"iso":"eng"}],"publication":"arXiv","abstract":[{"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.","lang":"eng"}],"publication_status":"draft","department":[{"_id":"LaEr"},{"_id":"RoSe"}],"corr_author":"1","date_published":"2024-10-21T00:00:00Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2409.17297","open_access":"1"}],"year":"2024","_id":"19550","month":"10","status":"public","arxiv":1,"day":"21","date_created":"2025-04-11T11:43:58Z","related_material":{"record":[{"relation":"dissertation_contains","id":"19540","status":"public"}]},"author":[{"orcid":"0000-0003-1106-327X","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","last_name":"Henheik"},{"last_name":"Langmann","first_name":"Edwin","full_name":"Langmann, Edwin"},{"first_name":"Asbjørn Bækgaard","last_name":"Lauritsen","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"}]}]