Overlap of exact and Gross-Pitaevskii wave functions in Bose-Einstein condensates of dilute gases

• Verfasst von: Klaiman, Shachar [VerfasserIn]
• Verfasst von: Cederbaum, Lorenz S. [VerfasserIn]
• Titel: Overlap of exact and Gross-Pitaevskii wave functions in Bose-Einstein condensates of dilute gases
• Verf.angabe: Shachar Klaiman and Lorenz S. Cederbaum (Theoretische Chemie, Physikalisch–Chemisches Institut, Heidelberg University)
• E-Jahr: 2016
• Jahr: [2016]
• Umfang: 6 S.
• Illustrationen: Diagramme
• Fussnoten: Gesehen am 13.05.2020
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2016
• Band/Heft Quelle: 94(2016,6) Artikel-Nummer 063648, 6 Seiten
• ISSN Quelle: 2469-9934
• DOI: doi:10.1103/PhysRevA.94.063648
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1698113420

Abstract

It has been proven theoretically for bosons with two-body repulsive interaction potentials in the dilute limit that the Gross-Pitaevskii equation provides the exact energy and density per particle as does the basic many-particle Schrödinger equation [E. H. Lieb and R. Seiringer, Phys. Rev. Lett. 88, 170409 (2002)]. Here, we investigate the overlap of the Gross-Pitaevskii and exact ground-state wave functions. It is found that this overlap is always smaller than unity and may even vanish despite the fact that both wave functions provide the same energy and density per particle. Consequences are discussed.