{"intvolume":"        24","oa":1,"oa_version":"Preprint","publication_status":"published","isi":1,"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged.","article_type":"original","author":[{"id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara","last_name":"Boccato","full_name":"Boccato, Chiara"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"type":"journal_article","year":"2023","date_created":"2023-01-15T23:00:52Z","volume":24,"month":"05","date_updated":"2023-08-16T11:34:03Z","page":"1505-1560","title":"The Bose Gas in a box with Neumann boundary conditions","_id":"12183","department":[{"_id":"RoSe"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","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"}],"publisher":"Springer Nature","language":[{"iso":"eng"}],"article_processing_charge":"No","citation":{"ista":"Boccato C, Seiringer R. 2023. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 24, 1505–1560.","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>.","short":"C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.","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>","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>.","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.","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>"},"scopus_import":"1","doi":"10.1007/s00023-022-01252-3","date_published":"2023-05-01T00:00:00Z","publication_identifier":{"issn":["1424-0637"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2205.15284","open_access":"1"}],"project":[{"grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"}],"status":"public","ec_funded":1,"day":"01","publication":"Annales Henri Poincare","quality_controlled":"1","external_id":{"isi":["000910751800002"],"arxiv":["2205.15284"]}}