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Title: Temperature dependence of condensate fraction of weakly nonideal trapped Bose gas

Abstract

Condensation of the weakly nonideal gas in an anisotropic parabolic trap was considered. The first order (with respect to the interaction parameter) correction {Delta} n-bar{sub 0} = n-bar{sub 0}(T)-n-bar{sub 0}{sup 0}(T) to the temperature dependence of the ground state population n0-bar{sub 0}{sup 0}(T) of the ideal gas atoms was found using thermodynamic perturbation theory. The correction found n-bar{sub 0} proved to be much larger than the one calculated within the mean field theory [see Giorgini S, Pitaevskii L P, Stringari S Phys. Rev. A 54 R4633 (1996)] at temperatures below critical. This correction tends to zero as the temperature approaches the critical one; i.e., the interaction of the atoms does not lead to variation in the critical temperature. A simple analytic expression was found that describes the smooth variation of n-bar{sub 0}{sup 0}(T) as it approaches zero in the vicinity of the critical temperature. A new criterion for applicability of the thermodynamic limit is given. (laser applications and other topics in quantum electronics)

Authors:
;  [1]
  1. P.N. Lebedev Physics Institute, Russian Academy of Sciences, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
21442711
Resource Type:
Journal Article
Journal Name:
Quantum Electronics (Woodbury, N.Y.)
Additional Journal Information:
Journal Volume: 30; Journal Issue: 5; Other Information: DOI: 10.1070/QE2000v030n05ABEH001738; Journal ID: ISSN 1063-7818
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; ATOMS; BOSE-EINSTEIN GAS; CONDENSATES; CORRECTIONS; CRITICAL TEMPERATURE; INTERACTIONS; MEAN-FIELD THEORY; PERTURBATION THEORY; TEMPERATURE DEPENDENCE; VARIATIONS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES; TRANSITION TEMPERATURE

Citation Formats

Alekseev, Vladimir A, and Krylova, Dar'ya D. Temperature dependence of condensate fraction of weakly nonideal trapped Bose gas. United States: N. p., 2000. Web. doi:10.1070/QE2000V030N05ABEH001738.
Alekseev, Vladimir A, & Krylova, Dar'ya D. Temperature dependence of condensate fraction of weakly nonideal trapped Bose gas. United States. doi:10.1070/QE2000V030N05ABEH001738.
Alekseev, Vladimir A, and Krylova, Dar'ya D. Wed . "Temperature dependence of condensate fraction of weakly nonideal trapped Bose gas". United States. doi:10.1070/QE2000V030N05ABEH001738.
@article{osti_21442711,
title = {Temperature dependence of condensate fraction of weakly nonideal trapped Bose gas},
author = {Alekseev, Vladimir A and Krylova, Dar'ya D},
abstractNote = {Condensation of the weakly nonideal gas in an anisotropic parabolic trap was considered. The first order (with respect to the interaction parameter) correction {Delta} n-bar{sub 0} = n-bar{sub 0}(T)-n-bar{sub 0}{sup 0}(T) to the temperature dependence of the ground state population n0-bar{sub 0}{sup 0}(T) of the ideal gas atoms was found using thermodynamic perturbation theory. The correction found n-bar{sub 0} proved to be much larger than the one calculated within the mean field theory [see Giorgini S, Pitaevskii L P, Stringari S Phys. Rev. A 54 R4633 (1996)] at temperatures below critical. This correction tends to zero as the temperature approaches the critical one; i.e., the interaction of the atoms does not lead to variation in the critical temperature. A simple analytic expression was found that describes the smooth variation of n-bar{sub 0}{sup 0}(T) as it approaches zero in the vicinity of the critical temperature. A new criterion for applicability of the thermodynamic limit is given. (laser applications and other topics in quantum electronics)},
doi = {10.1070/QE2000V030N05ABEH001738},
journal = {Quantum Electronics (Woodbury, N.Y.)},
issn = {1063-7818},
number = 5,
volume = 30,
place = {United States},
year = {2000},
month = {5}
}