[{"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2205.15284","open_access":"1"}],"external_id":{"isi":["000910751800002"],"arxiv":["2205.15284"]},"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"publisher":"Springer Nature","_id":"12183","ec_funded":1,"publication":"Annales Henri Poincare","day":"01","oa_version":"Preprint","corr_author":"1","month":"05","volume":24,"publication_status":"published","type":"journal_article","page":"1505-1560","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged.","oa":1,"status":"public","quality_controlled":"1","scopus_import":"1","article_type":"original","doi":"10.1007/s00023-022-01252-3","intvolume":"        24","date_created":"2023-01-15T23:00:52Z","department":[{"_id":"RoSe"}],"abstract":[{"text":"We consider a gas of n bosonic particles confined in a box [−ℓ/2,ℓ/2]3 with Neumann boundary conditions. We prove Bose–Einstein condensation in the Gross–Pitaevskii regime, with an optimal bound on the condensate depletion. Moreover, our lower bound for the ground state energy in a small box [−ℓ/2,ℓ/2]3 implies (via Neumann bracketing) a lower bound for the ground state energy of N bosons in a large box [−L/2,L/2]3 with density ρ=N/L3 in the thermodynamic limit.","lang":"eng"}],"date_published":"2023-05-01T00:00:00Z","arxiv":1,"article_processing_charge":"No","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1424-0637"]},"citation":{"ama":"Boccato C, Seiringer R. The Bose Gas in a box with Neumann boundary conditions. <i>Annales Henri Poincare</i>. 2023;24:1505-1560. doi:<a href=\"https://doi.org/10.1007/s00023-022-01252-3\">10.1007/s00023-022-01252-3</a>","ieee":"C. Boccato and R. Seiringer, “The Bose Gas in a box with Neumann boundary conditions,” <i>Annales Henri Poincare</i>, vol. 24. Springer Nature, pp. 1505–1560, 2023.","apa":"Boccato, C., &#38; Seiringer, R. (2023). The Bose Gas in a box with Neumann boundary conditions. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-022-01252-3\">https://doi.org/10.1007/s00023-022-01252-3</a>","ista":"Boccato C, Seiringer R. 2023. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 24, 1505–1560.","short":"C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.","chicago":"Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” <i>Annales Henri Poincare</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00023-022-01252-3\">https://doi.org/10.1007/s00023-022-01252-3</a>.","mla":"Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” <i>Annales Henri Poincare</i>, vol. 24, Springer Nature, 2023, pp. 1505–60, doi:<a href=\"https://doi.org/10.1007/s00023-022-01252-3\">10.1007/s00023-022-01252-3</a>."},"year":"2023","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"The Bose Gas in a box with Neumann boundary conditions","author":[{"first_name":"Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","full_name":"Boccato, Chiara","last_name":"Boccato"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"date_updated":"2025-04-14T07:26:59Z","isi":1}]