{"isi":1,"type":"journal_article","date_updated":"2023-09-08T13:30:51Z","volume":121,"article_number":"10007","abstract":[{"lang":"eng","text":"Following an earlier calculation in 3D, we calculate the 2D critical temperature of a dilute, translation-invariant Bose gas using a variational formulation of the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This provides the first analytical calculation of the Kosterlitz-Thouless transition temperature that includes the constant in the logarithm."}],"publication_status":"published","publication":"EPL","_id":"399","author":[{"last_name":"Napiórkowski","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M"},{"last_name":"Reuvers","first_name":"Robin","full_name":"Reuvers, Robin"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan"}],"doi":"10.1209/0295-5075/121/10007","month":"01","date_created":"2018-12-11T11:46:15Z","citation":{"mla":"Napiórkowski, Marcin M., et al. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” <i>EPL</i>, vol. 121, no. 1, 10007, IOP Publishing Ltd., 2018, doi:<a href=\"https://doi.org/10.1209/0295-5075/121/10007\">10.1209/0295-5075/121/10007</a>.","ama":"Napiórkowski MM, Reuvers R, Solovej J. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. <i>EPL</i>. 2018;121(1). doi:<a href=\"https://doi.org/10.1209/0295-5075/121/10007\">10.1209/0295-5075/121/10007</a>","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, EPL 121 (2018).","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation,” <i>EPL</i>, vol. 121, no. 1. IOP Publishing Ltd., 2018.","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” <i>EPL</i>. IOP Publishing Ltd., 2018. <a href=\"https://doi.org/10.1209/0295-5075/121/10007\">https://doi.org/10.1209/0295-5075/121/10007</a>.","ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 121(1), 10007.","apa":"Napiórkowski, M. M., Reuvers, R., &#38; Solovej, J. (2018). Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. <i>EPL</i>. IOP Publishing Ltd. <a href=\"https://doi.org/10.1209/0295-5075/121/10007\">https://doi.org/10.1209/0295-5075/121/10007</a>"},"acknowledgement":"We thank Robert Seiringer and Daniel Ueltschi for bringing the issue of the change in critical temperature to our attention. We also thank the Erwin Schrödinger Institute (all authors) and the Department of Mathematics, University of Copenhagen (MN) for the hospitality during the period this work was carried out. We gratefully acknowledge the financial support by the European Unions Seventh Framework Programme under the ERC Grant Agreement Nos. 321029 (JPS and RR) and 337603 (RR) as well as support by the VIL-LUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059) (JPS and RR), by the National Science Center (NCN) under grant No. 2016/21/D/ST1/02430 and the Austrian Science Fund (FWF) through project No. P 27533-N27 (MN).","department":[{"_id":"RoSe"}],"article_processing_charge":"No","oa":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","external_id":{"isi":["000460003000003"],"arxiv":["1706.01822"]},"status":"public","project":[{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"language":[{"iso":"eng"}],"intvolume":"       121","publist_id":"7432","oa_version":"Preprint","issue":"1","quality_controlled":"1","scopus_import":"1","title":"Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation","main_file_link":[{"url":"https://arxiv.org/abs/1706.01822","open_access":"1"}],"date_published":"2018-01-01T00:00:00Z","day":"01","publisher":"IOP Publishing Ltd.","article_type":"original","year":"2018"}