[{"date_created":"2021-08-06T09:07:12Z","acknowledgement":"This work started when A.G. was visiting the Erwin Schrödinger Institute and then continued when D.F. and L.P visited the Theoretical Chemistry Department of the Vrije Universiteit Amsterdam. The authors thanks the hospitality of both places and, especially, P. Gori-Giorgi and K. Giesbertz for fruitful discussions and literature suggestions in the early state of the project. Finally, the authors also thanks J. Maas and R. Seiringer for their feedback and useful comments to a first draft of the article. L.P. acknowledges support by the Austrian Science Fund (FWF), grants No W1245 and NoF65. D.F acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 716117 and No 694227). A.G. acknowledges funding by the European Research Council under H2020/MSCA-IF “OTmeetsDFT” [grant ID: 795942].","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.11217"}],"external_id":{"arxiv":["2106.11217"]},"date_updated":"2023-11-14T13:21:01Z","ddc":["510"],"abstract":[{"lang":"eng","text":"This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite dimensional composite quantum system at positive temperature as a non-commutative entropy regularized Optimal Transport problem. We develop a new approach to fully characterize the dual-primal solutions in such non-commutative setting. The mathematical formalism is particularly relevant in quantum chemistry: numerical realizations of the many-electron ground state energy can be computed via a non-commutative version of Sinkhorn algorithm. Our approach allows to prove convergence and robustness of this algorithm, which, to our best knowledge, were unknown even in the two marginal case. Our methods are based on careful a priori estimates in the dual problem, which we believe to be of independent interest. Finally, the above results are extended in 1RDMFT setting, where bosonic or fermionic symmetry conditions are enforced on the problem."}],"ec_funded":1,"related_material":{"record":[{"id":"9733","relation":"dissertation_contains","status":"public"},{"id":"10030","relation":"dissertation_contains","status":"public"},{"status":"public","relation":"later_version","id":"12911"}]},"oa":1,"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117"},{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"title":"A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"9792","date_published":"2021-07-21T00:00:00Z","publication":"arXiv","citation":{"short":"D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).","apa":"Feliciangeli, D., Gerolin, A., & Portinale, L. (n.d.). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv. https://doi.org/10.48550/arXiv.2106.11217","ama":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv. doi:10.48550/arXiv.2106.11217","chicago":"Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2106.11217.","mla":"Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” ArXiv, 2106.11217, doi:10.48550/arXiv.2106.11217.","ieee":"D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” arXiv. .","ista":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv, 2106.11217."},"month":"07","oa_version":"Preprint","doi":"10.48550/arXiv.2106.11217","type":"preprint","article_processing_charge":"No","license":"https://creativecommons.org/licenses/by/4.0/","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)"},"publication_status":"submitted","department":[{"_id":"RoSe"},{"_id":"JaMa"}],"article_number":"2106.11217","author":[{"first_name":"Dario","full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli"},{"last_name":"Gerolin","first_name":"Augusto","full_name":"Gerolin, Augusto"},{"full_name":"Portinale, Lorenzo","first_name":"Lorenzo","last_name":"Portinale","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87"}],"has_accepted_license":"1","year":"2021","day":"21","language":[{"iso":"eng"}],"status":"public"},{"citation":{"mla":"Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:10.2140/paa.2021.3.653.","ieee":"N. K. Leopold, D. J. Mitrouskas, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron,” Pure and Applied Analysis, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 653–676, 2021.","ista":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. 2021. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 3(4), 653–676.","short":"N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.","ama":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 2021;3(4):653-676. doi:10.2140/paa.2021.3.653","apa":"Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., & Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2021.3.653","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.653."},"publication":"Pure and Applied Analysis","date_published":"2021-10-01T00:00:00Z","scopus_import":"1","oa_version":"Preprint","intvolume":" 3","month":"10","publication_status":"published","page":"653-676","doi":"10.2140/paa.2021.3.653","type":"journal_article","article_processing_charge":"No","author":[{"first_name":"Nikolai K","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes","full_name":"Mitrouskas, David Johannes"},{"orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"volume":3,"department":[{"_id":"RoSe"}],"status":"public","year":"2021","day":"01","language":[{"iso":"eng"}],"article_type":"original","acknowledgement":"Financial support by the European Union’s Horizon 2020 research and innovation programme\r\nunder the Marie Skłodowska-Curie grant agreement No. 754411 (S.R.) and the European\r\nResearch Council under grant agreement No. 694227 (N.L. and R.S.), as well as by the SNSF\r\nEccellenza project PCEFP2 181153 (N.L.), the NCCR SwissMAP (N.L. and B.S.) and by the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. B.S. gratefully\r\nacknowledges financial support from the Swiss National Science Foundation through the Grant\r\n“Dynamical and energetic properties of Bose-Einstein condensates” and from the European\r\nResearch Council through the ERC-AdG CLaQS (grant agreement No 834782). D.M. thanks\r\nMarcel Griesemer for helpful discussions.","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2005.02098","open_access":"1"}],"date_updated":"2024-02-05T10:02:45Z","external_id":{"arxiv":["2005.02098"]},"date_created":"2024-01-28T23:01:43Z","publisher":"Mathematical Sciences Publishers","issue":"4","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"oa":1,"ec_funded":1,"abstract":[{"lang":"eng","text":"We consider the Fröhlich Hamiltonian with large coupling constant α. For initial data of Pekar product form with coherent phonon field and with the electron minimizing the corresponding energy, we provide a norm approximation of the evolution, valid up to times of order α2. The approximation is given in terms of a Pekar product state, evolved through the Landau-Pekar equations, corrected by a Bogoliubov dynamics taking quantum fluctuations into account. This allows us to show that the Landau-Pekar equations approximately describe the evolution of the electron- and one-phonon reduced density matrices under the Fröhlich dynamics up to times of order α2."}],"publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14889","quality_controlled":"1"},{"month":"10","intvolume":" 3","oa_version":"Preprint","scopus_import":"1","date_published":"2021-10-01T00:00:00Z","publication":"Pure and Applied Analysis","citation":{"apa":"Bossmann, L., Petrat, S. P., Pickl, P., & Soffer, A. (2021). Beyond Bogoliubov dynamics. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2021.3.677","ama":"Bossmann L, Petrat SP, Pickl P, Soffer A. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 2021;3(4):677-726. doi:10.2140/paa.2021.3.677","short":"L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.","chicago":"Bossmann, Lea, Sören P Petrat, Peter Pickl, and Avy Soffer. “Beyond Bogoliubov Dynamics.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.677.","mla":"Bossmann, Lea, et al. “Beyond Bogoliubov Dynamics.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 677–726, doi:10.2140/paa.2021.3.677.","ieee":"L. Bossmann, S. P. Petrat, P. Pickl, and A. Soffer, “Beyond Bogoliubov dynamics,” Pure and Applied Analysis, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 677–726, 2021.","ista":"Bossmann L, Petrat SP, Pickl P, Soffer A. 2021. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 3(4), 677–726."},"page":"677-726","publication_status":"published","article_processing_charge":"No","type":"journal_article","doi":"10.2140/paa.2021.3.677","author":[{"last_name":"Bossmann","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","first_name":"Lea"},{"last_name":"Petrat","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrat, Sören P","first_name":"Sören P","orcid":"0000-0002-9166-5889"},{"last_name":"Pickl","full_name":"Pickl, Peter","first_name":"Peter"},{"last_name":"Soffer","first_name":"Avy","full_name":"Soffer, Avy"}],"department":[{"_id":"RoSe"}],"volume":3,"year":"2021","day":"01","language":[{"iso":"eng"}],"status":"public","article_type":"original","external_id":{"arxiv":["1912.11004"]},"date_updated":"2024-02-05T09:26:31Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1912.11004","open_access":"1"}],"acknowledgement":"We are grateful for the hospitality of Central China Normal University (CCNU),\r\nwhere parts of this work were done, and thank Phan Th`anh Nam, Simone\r\nRademacher, Robert Seiringer and Stefan Teufel for helpful discussions. L.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research\r\nTraining Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and the funding\r\nfrom the European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSk lodowska-Curie Grant Agreement No. 754411.","publisher":"Mathematical Sciences Publishers","date_created":"2024-01-28T23:01:43Z","oa":1,"project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"issue":"4","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"abstract":[{"lang":"eng","text":"We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm to arbitrary precision. The N-independent corrections are given in terms of the solutions of the Bogoliubov and Hartree equations and satisfy a generalized form of Wick's theorem. We determine the n-point correlation functions of the excitations around the condensate, as well as the reduced densities of the N-body system, to arbitrary accuracy, given only the knowledge of the two-point functions of a quasi-free state and the solution of the Hartree equation. In this way, the complex problem of computing all n-point correlation functions for an interacting N-body system is essentially reduced to the problem of solving the Hartree equation and the PDEs for the Bogoliubov two-point functions."}],"ec_funded":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Beyond Bogoliubov dynamics","_id":"14890","quality_controlled":"1"},{"alternative_title":["ISTA Thesis"],"_id":"9733","degree_awarded":"PhD","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","title":"The polaron at strong coupling","file":[{"file_name":"Thesis_FeliciangeliA.pdf","access_level":"open_access","content_type":"application/pdf","file_size":1958710,"checksum":"e88bb8ca43948abe060eb2d2fa719881","date_created":"2021-08-19T14:03:48Z","date_updated":"2021-09-06T09:28:56Z","relation":"main_file","file_id":"9944","creator":"dfelicia"},{"file_size":3771669,"date_created":"2021-08-19T14:06:35Z","checksum":"72810843abee83705853505b3f8348aa","file_id":"9945","creator":"dfelicia","relation":"source_file","date_updated":"2022-03-10T12:13:57Z","file_name":"thesis.7z","content_type":"application/octet-stream","access_level":"closed"}],"project":[{"name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"oa":1,"related_material":{"record":[{"id":"9787","status":"public","relation":"part_of_dissertation"},{"id":"9792","status":"public","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","status":"public","id":"9225"},{"status":"public","relation":"part_of_dissertation","id":"9781"},{"relation":"part_of_dissertation","status":"public","id":"9791"}]},"publication_identifier":{"issn":["2663-337X"]},"ddc":["515","519","539"],"abstract":[{"text":"This thesis is the result of the research carried out by the author during his PhD at IST Austria between 2017 and 2021. It mainly focuses on the Fröhlich polaron model, specifically to its regime of strong coupling. This model, which is rigorously introduced and discussed in the introduction, has been of great interest in condensed matter physics and field theory for more than eighty years. It is used to describe an electron interacting with the atoms of a solid material (the strength of this interaction is modeled by the presence of a coupling constant α in the Hamiltonian of the system). The particular regime examined here, which is mathematically described by considering the limit α →∞, displays many interesting features related to the emergence of classical behavior, which allows for a simplified effective description of the system under analysis. The properties, the range of validity and a quantitative analysis of the precision of such classical approximations are the main object of the present work. We specify our investigation to the study of the ground state energy of the system, its dynamics and its effective mass. For each of these problems, we provide in the introduction an overview of the previously known results and a detailed account of the original contributions by the author.","lang":"eng"}],"ec_funded":1,"date_updated":"2024-03-06T12:30:44Z","publisher":"Institute of Science and Technology Austria","date_created":"2021-07-27T15:48:30Z","day":"20","year":"2021","language":[{"iso":"eng"}],"status":"public","has_accepted_license":"1","author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","first_name":"Dario","full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530"}],"department":[{"_id":"GradSch"},{"_id":"RoSe"},{"_id":"JaMa"}],"supervisor":[{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"},{"last_name":"Maas","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","full_name":"Maas, Jan","first_name":"Jan","orcid":"0000-0002-0845-1338"}],"tmp":{"name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","short":"CC BY-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","image":"/image/cc_by_nd.png"},"page":"180","publication_status":"published","article_processing_charge":"No","license":"https://creativecommons.org/licenses/by-nd/4.0/","doi":"10.15479/at:ista:9733","type":"dissertation","month":"08","file_date_updated":"2022-03-10T12:13:57Z","oa_version":"Published Version","date_published":"2021-08-20T00:00:00Z","citation":{"ama":"Feliciangeli D. The polaron at strong coupling. 2021. doi:10.15479/at:ista:9733","apa":"Feliciangeli, D. (2021). The polaron at strong coupling. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:9733","short":"D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and Technology Austria, 2021.","chicago":"Feliciangeli, Dario. “The Polaron at Strong Coupling.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:9733.","mla":"Feliciangeli, Dario. The Polaron at Strong Coupling. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:9733.","ieee":"D. Feliciangeli, “The polaron at strong coupling,” Institute of Science and Technology Austria, 2021.","ista":"Feliciangeli D. 2021. The polaron at strong coupling. Institute of Science and Technology Austria."}},{"month":"07","oa_version":"Preprint","date_created":"2021-08-06T08:49:45Z","date_published":"2021-07-08T00:00:00Z","publication":"arXiv","citation":{"ista":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv, 2107.03720.","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, 2107.03720.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” arXiv. .","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, n.d.","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (n.d.). The effective mass problem for the Landau-Pekar equations. arXiv.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.)."},"external_id":{"arxiv":["2107.03720"]},"date_updated":"2024-03-06T12:30:45Z","acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged..","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2107.03720"}],"article_processing_charge":"No","ddc":["510"],"abstract":[{"lang":"eng","text":"We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar."}],"ec_funded":1,"type":"preprint","oa":1,"project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"publication_status":"submitted","related_material":{"record":[{"relation":"later_version","status":"public","id":"10755"},{"relation":"dissertation_contains","status":"public","id":"9733"}]},"department":[{"_id":"RoSe"}],"author":[{"last_name":"Feliciangeli","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","full_name":"Feliciangeli, Dario","first_name":"Dario","orcid":"0000-0003-0754-8530"},{"orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425"},{"full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_number":"2107.03720 ","title":"The effective mass problem for the Landau-Pekar equations","_id":"9791","year":"2021","language":[{"iso":"eng"}],"day":"08","status":"public"},{"scopus_import":"1","oa_version":"Published Version","month":"03","intvolume":" 374","file_date_updated":"2020-07-14T12:47:35Z","citation":{"ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” Communications in Mathematical Physics, vol. 374. Springer Nature, pp. 2097–2150, 2020.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 374, 2097–2150.","mla":"Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5.","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03505-5.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 2020;374:2097–2150. doi:10.1007/s00220-019-03505-5","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03505-5"},"publication":"Communications in Mathematical Physics","date_published":"2020-03-01T00:00:00Z","article_processing_charge":"No","doi":"10.1007/s00220-019-03505-5","type":"journal_article","publication_status":"published","page":"2097–2150","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)"},"department":[{"_id":"RoSe"}],"volume":374,"author":[{"orcid":"0000-0002-1071-6091","full_name":"Benedikter, Niels P","first_name":"Niels P","last_name":"Benedikter","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Nam","first_name":"Phan Thành","full_name":"Nam, Phan Thành"},{"full_name":"Porta, Marcello","first_name":"Marcello","last_name":"Porta"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"}],"has_accepted_license":"1","article_type":"original","status":"public","year":"2020","language":[{"iso":"eng"}],"day":"01","date_created":"2019-07-18T13:30:04Z","publisher":"Springer Nature","date_updated":"2023-08-17T13:51:50Z","external_id":{"arxiv":["1809.01902"],"isi":["000527910700019"]},"publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"ec_funded":1,"ddc":["530"],"abstract":[{"lang":"eng","text":"While Hartree–Fock theory is well established as a fundamental approximation for interacting fermions, it has been unclear how to describe corrections to it due to many-body correlations. In this paper we start from the Hartree–Fock state given by plane waves and introduce collective particle–hole pair excitations. These pairs can be approximately described by a bosonic quadratic Hamiltonian. We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type upper bound to the ground state energy. Our result justifies the random-phase approximation in the mean-field scaling regime, for repulsive, regular interaction potentials.\r\n"}],"oa":1,"project":[{"call_identifier":"FWF","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","name":"FWF Open Access Fund"},{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"},{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"isi":1,"file":[{"access_level":"open_access","content_type":"application/pdf","file_name":"2019_CommMathPhysics_Benedikter.pdf","date_updated":"2020-07-14T12:47:35Z","relation":"main_file","file_id":"6668","creator":"dernst","file_size":853289,"checksum":"f9dd6dd615a698f1d3636c4a092fed23","date_created":"2019-07-24T07:19:10Z"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime","quality_controlled":"1","_id":"6649"},{"_id":"7508","quality_controlled":"1","title":"Higher order corrections to the mean-field description of the dynamics of interacting bosons","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"checksum":"643e230bf147e64d9cdb3f6cc573679d","date_created":"2020-11-20T09:26:46Z","file_size":576726,"creator":"dernst","file_id":"8780","date_updated":"2020-11-20T09:26:46Z","relation":"main_file","file_name":"2020_JournStatPhysics_Bossmann.pdf","content_type":"application/pdf","success":1,"access_level":"open_access"}],"isi":1,"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"oa":1,"ddc":["510"],"abstract":[{"text":"In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider the dynamics of N d-dimensional bosons for large N. The bosons initially form a Bose–Einstein condensate and interact with each other via a pair potential of the form (N−1)−1Ndβv(Nβ·)forβ∈[0,14d). We derive a sequence of N-body functions which approximate the true many-body dynamics in L2(RdN)-norm to arbitrary precision in powers of N−1. The approximating functions are constructed as Duhamel expansions of finite order in terms of the first quantised analogue of a Bogoliubov time evolution.","lang":"eng"}],"ec_funded":1,"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nL.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research Training Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and wishes to thank Stefan Teufel, Sören Petrat and Marcello Porta for helpful discussions. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. N.P. gratefully acknowledges support from NSF grant DMS-1516228 and DMS-1840314. P.P.’s research was funded by DFG Grant no. PI 1114/3-1. Part of this work was done when N.P. and P.P. were visiting CCNU, Wuhan. N.P. and P.P. thank A.S. for his hospitality at CCNU.","external_id":{"arxiv":["1905.06164"],"isi":["000516342200001"]},"date_updated":"2023-08-18T06:37:46Z","publisher":"Springer Nature","date_created":"2020-02-23T09:45:51Z","year":"2020","language":[{"iso":"eng"}],"day":"21","status":"public","article_type":"original","has_accepted_license":"1","author":[{"last_name":"Bossmann","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","full_name":"Bossmann, Lea","first_name":"Lea","orcid":"0000-0002-6854-1343"},{"full_name":"Pavlović, Nataša","first_name":"Nataša","last_name":"Pavlović"},{"last_name":"Pickl","first_name":"Peter","full_name":"Pickl, Peter"},{"last_name":"Soffer","full_name":"Soffer, Avy","first_name":"Avy"}],"volume":178,"department":[{"_id":"RoSe"}],"page":"1362-1396","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)"},"publication_status":"published","doi":"10.1007/s10955-020-02500-8","type":"journal_article","article_processing_charge":"Yes (via OA deal)","date_published":"2020-02-21T00:00:00Z","publication":"Journal of Statistical Physics","citation":{"chicago":"Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-020-02500-8.","apa":"Bossmann, L., Pavlović, N., Pickl, P., & Soffer, A. (2020). Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-020-02500-8","ama":"Bossmann L, Pavlović N, Pickl P, Soffer A. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 2020;178:1362-1396. doi:10.1007/s10955-020-02500-8","short":"L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics 178 (2020) 1362–1396.","ista":"Bossmann L, Pavlović N, Pickl P, Soffer A. 2020. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 178, 1362–1396.","ieee":"L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections to the mean-field description of the dynamics of interacting bosons,” Journal of Statistical Physics, vol. 178. Springer Nature, pp. 1362–1396, 2020.","mla":"Bossmann, Lea, et al. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics, vol. 178, Springer Nature, 2020, pp. 1362–96, doi:10.1007/s10955-020-02500-8."},"file_date_updated":"2020-11-20T09:26:46Z","month":"02","intvolume":" 178","oa_version":"Published Version","scopus_import":"1"},{"_id":"7790","quality_controlled":"1","title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","isi":1,"file":[{"file_size":692530,"date_created":"2020-05-04T12:02:41Z","checksum":"8a64da99d107686997876d7cad8cfe1e","date_updated":"2020-07-14T12:48:03Z","relation":"main_file","file_id":"7797","creator":"dernst","file_name":"2020_ForumMath_Deuchert.pdf","access_level":"open_access","content_type":"application/pdf"}],"related_material":{"record":[{"id":"7524","status":"public","relation":"earlier_version"}]},"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"oa":1,"ec_funded":1,"abstract":[{"text":"We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density 𝜌 and inverse temperature 𝛽 differs from the one of the noninteracting system by the correction term 𝜋𝜌𝜌𝛽𝛽 . Here, is the scattering length of the interaction potential, and 𝛽 is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. The result is valid in the dilute limit 𝜌 and if 𝛽𝜌 .","lang":"eng"}],"ddc":["510"],"publication_identifier":{"eissn":["20505094"]},"date_updated":"2023-08-21T06:18:49Z","external_id":{"arxiv":["1910.03372"],"isi":["000527342000001"]},"date_created":"2020-05-03T22:00:48Z","publisher":"Cambridge University Press","status":"public","language":[{"iso":"eng"}],"day":"14","year":"2020","article_type":"original","has_accepted_license":"1","article_number":"e20","author":[{"full_name":"Deuchert, Andreas","first_name":"Andreas","orcid":"0000-0003-3146-6746","last_name":"Deuchert","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Simon","full_name":"Mayer, Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","last_name":"Mayer"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"}],"volume":8,"department":[{"_id":"RoSe"}],"publication_status":"published","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)"},"type":"journal_article","doi":"10.1017/fms.2020.17","article_processing_charge":"No","citation":{"ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 2020;8. doi:10.1017/fms.2020.17","apa":"Deuchert, A., Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2020.17","short":"A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).","chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma. Cambridge University Press, 2020. https://doi.org/10.1017/fms.2020.17.","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” Forum of Mathematics, Sigma, vol. 8. Cambridge University Press, 2020.","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma, vol. 8, e20, Cambridge University Press, 2020, doi:10.1017/fms.2020.17.","ista":"Deuchert A, Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 8, e20."},"publication":"Forum of Mathematics, Sigma","date_published":"2020-03-14T00:00:00Z","oa_version":"Published Version","scopus_import":"1","file_date_updated":"2020-07-14T12:48:03Z","intvolume":" 8","month":"03"},{"volume":22,"department":[{"_id":"RoSe"}],"author":[{"id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato","first_name":"Chiara","full_name":"Boccato, Chiara"},{"last_name":"Brennecke","full_name":"Brennecke, Christian","first_name":"Christian"},{"first_name":"Serena","full_name":"Cenatiempo, Serena","last_name":"Cenatiempo"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"}],"article_type":"original","year":"2020","day":"01","language":[{"iso":"eng"}],"status":"public","date_published":"2020-07-01T00:00:00Z","publication":"Journal of the European Mathematical Society","citation":{"apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/966","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 2020;22(7):2331-2403. doi:10.4171/JEMS/966","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Journal of the European Mathematical Society 22 (2020) 2331–2403.","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society. European Mathematical Society, 2020. https://doi.org/10.4171/JEMS/966.","mla":"Boccato, Chiara, et al. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society, vol. 22, no. 7, European Mathematical Society, 2020, pp. 2331–403, doi:10.4171/JEMS/966.","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “The excitation spectrum of Bose gases interacting through singular potentials,” Journal of the European Mathematical Society, vol. 22, no. 7. European Mathematical Society, pp. 2331–2403, 2020.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 22(7), 2331–2403."},"intvolume":" 22","month":"07","scopus_import":"1","oa_version":"Preprint","type":"journal_article","doi":"10.4171/JEMS/966","article_processing_charge":"No","page":"2331-2403","publication_status":"published","isi":1,"title":"The excitation spectrum of Bose gases interacting through singular potentials","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","quality_controlled":"1","_id":"8042","publisher":"European Mathematical Society","date_created":"2020-06-29T07:59:35Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1704.04819"}],"external_id":{"isi":["000548174700006"],"arxiv":["1704.04819"]},"date_updated":"2023-08-22T07:47:04Z","abstract":[{"text":"We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N.","lang":"eng"}],"publication_identifier":{"issn":["14359855"]},"issue":"7","oa":1},{"volume":181,"department":[{"_id":"RoSe"}],"author":[{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Yngvason","full_name":"Yngvason, Jakob","first_name":"Jakob"}],"article_type":"original","has_accepted_license":"1","status":"public","year":"2020","day":"01","language":[{"iso":"eng"}],"citation":{"ieee":"R. Seiringer and J. Yngvason, “Emergence of Haldane pseudo-potentials in systems with short-range interactions,” Journal of Statistical Physics, vol. 181. Springer, pp. 448–464, 2020.","ista":"Seiringer R, Yngvason J. 2020. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 181, 448–464.","mla":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics, vol. 181, Springer, 2020, pp. 448–64, doi:10.1007/s10955-020-02586-0.","ama":"Seiringer R, Yngvason J. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 2020;181:448-464. doi:10.1007/s10955-020-02586-0","apa":"Seiringer, R., & Yngvason, J. (2020). Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-020-02586-0","short":"R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.","chicago":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics. Springer, 2020. https://doi.org/10.1007/s10955-020-02586-0."},"publication":"Journal of Statistical Physics","date_published":"2020-10-01T00:00:00Z","oa_version":"Published Version","scopus_import":"1","file_date_updated":"2020-11-25T15:05:04Z","month":"10","intvolume":" 181","doi":"10.1007/s10955-020-02586-0","type":"journal_article","article_processing_charge":"Yes (via OA deal)","publication_status":"published","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)"},"page":"448-464","isi":1,"file":[{"success":1,"access_level":"open_access","content_type":"application/pdf","file_name":"2020_JourStatPhysics_Seiringer.pdf","date_updated":"2020-11-25T15:05:04Z","relation":"main_file","file_id":"8812","creator":"dernst","file_size":404778,"date_created":"2020-11-25T15:05:04Z","checksum":"5cbeef52caf18d0d952f17fed7b5545a"}],"title":"Emergence of Haldane pseudo-potentials in systems with short-range interactions","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","quality_controlled":"1","_id":"8091","date_created":"2020-07-05T22:00:46Z","publisher":"Springer","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nThe work of R.S. was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No 694227). J.Y. gratefully acknowledges hospitality at the LPMMC Grenoble and valuable discussions with Alessandro Olgiati and Nicolas Rougerie. ","date_updated":"2023-08-22T07:51:47Z","external_id":{"arxiv":["2001.07144"],"isi":["000543030000002"]},"ec_funded":1,"abstract":[{"lang":"eng","text":"In the setting of the fractional quantum Hall effect we study the effects of strong, repulsive two-body interaction potentials of short range. We prove that Haldane’s pseudo-potential operators, including their pre-factors, emerge as mathematically rigorous limits of such interactions when the range of the potential tends to zero while its strength tends to infinity. In a common approach the interaction potential is expanded in angular momentum eigenstates in the lowest Landau level, which amounts to taking the pre-factors to be the moments of the potential. Such a procedure is not appropriate for very strong interactions, however, in particular not in the case of hard spheres. We derive the formulas valid in the short-range case, which involve the scattering lengths of the interaction potential in different angular momentum channels rather than its moments. Our results hold for bosons and fermions alike and generalize previous results in [6], which apply to bosons in the lowest angular momentum channel. Our main theorem asserts the convergence in a norm-resolvent sense of the Hamiltonian on the whole Hilbert space, after appropriate energy scalings, to Hamiltonians with contact interactions in the lowest Landau level."}],"ddc":["530"],"publication_identifier":{"eissn":["15729613"],"issn":["00224715"]},"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"oa":1}]