On the superfluid fraction of an arbitrary many-body system at T = 0

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Abstract

I derive a set of sufficient and (barring certain pathologies) necessary conditions for a one-component system with velocity-independent forces to have a super-fluid fraction ρs/ρ equal to unity at zero temperature: In addition to a condition closely related (but not obviously equivalent) to the usual one of off-diagonal long-range order, the ground state should possess unbroken invariance under both spatial translation and time reversal. Some generalizations are made to the case of multicomponent systems.

Original languageEnglish (US)
Pages (from-to)927-941
Number of pages15
JournalJournal of Statistical Physics
Volume93
Issue number3-4
StatePublished - Nov 1998

Keywords

  • Long-range order
  • Superfluidity
  • Two-fluid model

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

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