{"abstract":[{"text":"A commonly used theoretical definition of superfluidity in the ground state of a Bose gas is based on the response of the system to an imposed velocity field or, equivalently, to twisted boundary conditions in a box. We are able to carry out this program in the case of a dilute interacting Bose gas in a trap, and we prove that a gas with repulsive interactions is 100% superfluid in the dilute limit in which the Gross-Pitaevskii equation is exact. This is the first example in an experimentally realistic continuum model in which superfluidity is rigorously verified.","lang":"eng"}],"year":"2002","publication_identifier":{"issn":["0163-1829"]},"issue":"13","publisher":"American Physical Society","status":"public","extern":"1","article_type":"original","oa_version":"None","citation":{"apa":"Lieb, É., Seiringer, R., &#38; Yngvason, J. (2002). Superfluidity in dilute trapped Bose gases. <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevB.66.134529\">https://doi.org/10.1103/PhysRevB.66.134529</a>","chicago":"Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Superfluidity in Dilute Trapped Bose Gases.” <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society, 2002. <a href=\"https://doi.org/10.1103/PhysRevB.66.134529\">https://doi.org/10.1103/PhysRevB.66.134529</a>.","mla":"Lieb, Élliott, et al. “Superfluidity in Dilute Trapped Bose Gases.” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 66, no. 13, American Physical Society, 2002, doi:<a href=\"https://doi.org/10.1103/PhysRevB.66.134529\">10.1103/PhysRevB.66.134529</a>.","short":"É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002).","ista":"Lieb É, Seiringer R, Yngvason J. 2002. Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics. 66(13).","ieee":"É. Lieb, R. Seiringer, and J. Yngvason, “Superfluidity in dilute trapped Bose gases,” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 66, no. 13. American Physical Society, 2002.","ama":"Lieb É, Seiringer R, Yngvason J. Superfluidity in dilute trapped Bose gases. <i>Physical Review B - Condensed Matter and Materials Physics</i>. 2002;66(13). doi:<a href=\"https://doi.org/10.1103/PhysRevB.66.134529\">10.1103/PhysRevB.66.134529</a>"},"type":"journal_article","date_created":"2018-12-11T11:57:10Z","article_processing_charge":"No","scopus_import":"1","month":"10","date_updated":"2023-07-25T12:05:47Z","title":"Superfluidity in dilute trapped Bose gases","acknowledgement":"E.H.L. was partially supported by the U.S. National Science Foundation, Grant No. PHY 98-20650. R.S. was supported by the Austrian Science Fund in the from of an Erwin Schrödinger fellowship.","oa":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/cond-mat/0205570"}],"intvolume":"        66","publist_id":"4573","language":[{"iso":"eng"}],"quality_controlled":"1","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","date_published":"2002-10-01T00:00:00Z","day":"01","publication_status":"published","publication":"Physical Review B - Condensed Matter and Materials Physics","external_id":{"arxiv":["cond-mat/0205570"]},"author":[{"full_name":"Lieb, Élliott","last_name":"Lieb","first_name":"Élliott"},{"first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"},{"last_name":"Yngvason","full_name":"Yngvason, Jakob","first_name":"Jakob"}],"doi":"10.1103/PhysRevB.66.134529","_id":"2353","volume":66}