Finite-temperature theory of the trapped two-dimensional Bose gas

Journal Article · Sun Feb 01 04:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.023616· OSTI ID:20640771

Gies, Christopher; Hutchinson, D A.W. ^[1]; Zyl, Brandon P. van ^[2]; Morgan, S A ^[3]

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1. Department of Physics, University of Otago, P.O. Box 56, Dunedin (New Zealand)
2. Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, L8S 4M1 (Canada)
3. Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT (United Kingdom)

We present a Hartree-Fock-Bogoliubov (HFB) theoretical treatment of the two-dimensional trapped Bose gas and indicate how semiclassical approximations to this and other formalisms have lead to confusion. We numerically obtain results for the quantum-mechanical HFB theory within the Popov approximation and show that the presence of the trap stabilizes the condensate against long wavelength fluctuations. These results are used to show where phase fluctuations lead to the formation of a quasicondensate.

• OSTI ID: 20640771
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
FLUCTUATIONS
HARTREE-FOCK METHOD
HARTREE-FOCK-BOGOLYUBOV THEORY
QUANTUM MECHANICS
SEMICLASSICAL APPROXIMATION
THOMAS-FERMI MODEL
TRAPPING
TRAPS
TWO-DIMENSIONAL CALCULATIONS
WAVELENGTHS