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Gapless mean-field theory of Bose-Einstein Condensates

Lookup NU author(s): Professor Nikolaos ProukakisORCiD

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Abstract

We present a topical review of the development of finite-temperature field theories of Bose-Einstein condensation in weakly interacting atomic gases. We highlight the difficulties in obtaining a consistent finite-temperature theory that has a gapless excitation spectrum in accordance with Goldstone's theorem and which is free from both ultraviolet and infrared divergences. We present results from the two consistent theories developed so far. These are the Hartree-Fock-Bogoliubov theory within the Popov approximation and a many-body T-matrix approach which we have termed gapless-Hartree-Fock-Bogoliubov (GHFB). Comparison with the available experimental results is made and the remaining difficulties are highlighted.

Publication metadata

Author(s): Hutchinson DAW, Burnett K, Dodd RJ, Morgan SA, Rusch M, Zaremba E, Proukakis NP, Edwards M, Clark CW

Publication type: Article

Publication status: Published

Journal: Journal of Physics B: Atomic, Molecular and Optical Physics

Year: 2000

Volume: 33

Issue: 19

Pages: 3825-3846

ISSN (print): 0953-4075

ISSN (electronic): 1361-6455

Publisher: Institute of Physics Publishing Ltd.

URL: http://dx.doi.org/10.1088/0953-4075/33/19/302

DOI: 10.1088/0953-4075/33/19/302

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