{"abstract":[{"lang":"eng","text":"We study the ground state of a dilute Bose gas in a scaling limit where the Gross-Pitaevskii functional emerges. This is a repulsive nonlinear Schrödinger functional whose quartic term is proportional to the scattering length of the interparticle interaction potential. We propose a new derivation of this limit problem, with a method that bypasses some of the technical difficulties that previous derivations had to face. The new method is based on a combination of Dyson\\'s lemma, the quantum de Finetti theorem and a second moment estimate for ground states of the effective Dyson Hamiltonian. It applies equally well to the case where magnetic fields or rotation are present."}],"volume":9,"date_created":"2018-12-11T11:50:23Z","publication_status":"published","publication":"Analysis and PDE","language":[{"iso":"eng"}],"oa":1,"_id":"1143","scopus_import":1,"publisher":"Mathematical Sciences Publishers","day":"24","department":[{"_id":"RoSe"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","date_updated":"2021-01-12T06:48:36Z","publist_id":"6215","status":"public","author":[{"full_name":"Nam, Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","last_name":"Nam"},{"full_name":"Rougerie, Nicolas","first_name":"Nicolas","last_name":"Rougerie"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"issue":"2","doi":"10.2140/apde.2016.9.459","page":"459 - 485","type":"journal_article","intvolume":"         9","citation":{"ista":"Nam P, Rougerie N, Seiringer R. 2016. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 9(2), 459–485.","apa":"Nam, P., Rougerie, N., &#38; Seiringer, R. (2016). Ground states of large bosonic systems: The gross Pitaevskii limit revisited. <i>Analysis and PDE</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/apde.2016.9.459\">https://doi.org/10.2140/apde.2016.9.459</a>","chicago":"Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” <i>Analysis and PDE</i>. Mathematical Sciences Publishers, 2016. <a href=\"https://doi.org/10.2140/apde.2016.9.459\">https://doi.org/10.2140/apde.2016.9.459</a>.","ama":"Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. <i>Analysis and PDE</i>. 2016;9(2):459-485. doi:<a href=\"https://doi.org/10.2140/apde.2016.9.459\">10.2140/apde.2016.9.459</a>","ieee":"P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems: The gross Pitaevskii limit revisited,” <i>Analysis and PDE</i>, vol. 9, no. 2. Mathematical Sciences Publishers, pp. 459–485, 2016.","mla":"Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” <i>Analysis and PDE</i>, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:<a href=\"https://doi.org/10.2140/apde.2016.9.459\">10.2140/apde.2016.9.459</a>.","short":"P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485."},"date_published":"2016-03-24T00:00:00Z","title":"Ground states of large bosonic systems: The gross Pitaevskii limit revisited","quality_controlled":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1503.07061"}],"project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"}],"month":"03","ec_funded":1,"year":"2016"}