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Cited by 549

The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.

Conserving and gapless approximations for an inhomogeneous Bose gas at finite temperatures

Open access
Griffin, A.·1996·Physical Review B
DOI 10.1103/physrevb.53.9341
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Abstract

We derive and discuss the equations of motion for the condensate and its fluctuations for a dilute, weakly interacting Bose gas in an external potential within the self-consistent Hartree-Fock-Bogoliubov (HFB) approximation. Account is taken of the depletion of the condensate and the anomalous Bose correlations, which are important at finite temperatures. We give a critical analysis of the self-consistent HFB approximation in terms of the Hohenberg-Martin classification of approximations (conserving vs gapless) and point out that the Popov approximation to the full HFB gives a gapless single-particle spectrum at all temperatures. The Beliaev second-order approximation is discussed as the spectrum generated by functional differentiation of the HFB single-particle Green's function. We emphasize that the problem of determining the excitation spectrum of a Bose-condensed gas (homogeneous or inhomogeneous) is difficult because of the need to satisfy several different constraints.

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Metadata

Authors
Griffin, A.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1996-04-01
Volume
53
Issue
14
Pages
9341-9347
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
DOI
10.1103/physrevb.53.9341
OpenAlex
W1993356612
Cited by
549
References
15
FWCI
19.92
Type
journal article
Language
en
Open access
green

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