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Exact results on the two-particle Green's function of a Bose-Einstein condensate

Source: Phys. Rev. B 81, 214513 (2010); doi:10.1103/PhysRevB.81.214513

Published 14 June 2010

PACS
  • 05.30.Jp
    Boson systems (quantum statistical mechanics)
  • 03.75.Hh
    Static properties of Bose-Einstein condensates
  • 03.75.Kk
    Dynamic properties of Bose-Einstein condensates
  • 67.25.D-
    Superfluid phase 4He
  • YEAR: 2010
PUBLICATION DATA
ISSN:
1935-4061 (online)
Publisher:
AIP is a member of CrossRef APS
Takafumi Kita
Department of Physics, Hokkaido University, Sapporo 060-0810, Japan
Starting from the Dyson-Beliaev and generalized Gross-Pitaevskii equations with an extra nonlocal potential, we derive an exact expression of the two-particle Green's function [script K][underaccent underbar [below] for an interacting Bose-Einstein condensate in terms of unambiguously defined self-energies and vertices. The formula can be a convenient basis for approximate calculations of [script K][underaccent underbar [below] . It also tells us that poles of [script K][underaccent underbar [below] are not shared with (i.e., shifted from) those of the single-particle Green's function, contrary to the conclusion of previous studies. ©2010 The American Physical Society
History: Received 2 March 2010; revised 1 May 2010; published 14 June 2010
Permalink: http://link.aps.org/abstract/PRB/v81/e214513
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