Superfluidity in dilute trapped Bose gases

Elliott H. Lieb, Robert Seiringer, Jakob Seiringer

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38 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number134529
Pages (from-to)1345291-1345296
Number of pages6
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume66
Issue number13
StatePublished - Oct 1 2002

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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    Lieb, E. H., Seiringer, R., & Seiringer, J. (2002). Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics, 66(13), 1345291-1345296. [134529].