Variance as a sensitive probe of correlations

• Verfasst von: Klaiman, Shachar [VerfasserIn]
• Verfasst von: Alon, Ofir E. [VerfasserIn]
• Titel: Variance as a sensitive probe of correlations
• Verf.angabe: Shachar Klaiman and Ofir E. Alon
• E-Jahr: 2015
• Jahr: 12 June 2015
• Titel Quelle: Enthalten in: Physical review / A
• Ort Quelle: College Park, Md., 1970
• Jahr Quelle: 2015
• Band/Heft Quelle: 91(2015,6) Artikel-Nummer 063613, 9 Seiten
• ISSN Quelle: 1094-1622
• DOI: doi:10.1103/PhysRevA.91.063613
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1703810082

Abstract

Bose-Einstein condensates made of ultracold trapped bosonic atoms have become a central venue in which interacting many-body quantum systems are studied. The ground state of a trapped Bose-Einstein condensate has been proven to be 100% condensed in the limit of infinite particle number and constant interaction parameter [Lieb and Seiringer, Phys. Rev. Lett. 88, 170409 (2002)]. The meaning of this result is that properties of the condensate, noticeably its energy and density, converge to those obtained by minimizing the Gross-Pitaevskii energy functional. This naturally raises the question whether correlations are of any importance in this limit. Here, we demonstrate both analytically and numerically that even in the infinite particle limit many-body correlations can lead to a modification of the variance of any operator compared to that expected from the Gross-Pitaevskii result. 4201 Gesehen am 07.07.2020