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

Christopher Gies; Brandon P. van Zyl; S. A. Morgan; D. A. W. Hutchinson

doi:10.1103/PhysRevA.69.023616

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

Christopher Gies, Brandon P. van Zyl, S. A. Morgan, and D. A. W. Hutchinson

Phys. Rev. A 69, 023616 – Published 25 February 2004

Abstract

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.

Received 8 August 2003

DOI:https://doi.org/10.1103/PhysRevA.69.023616

Authors & Affiliations

Christopher Gies¹, Brandon P. van Zyl², S. A. Morgan³, and D. A. W. Hutchinson¹

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

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Vol. 69, Iss. 2 — February 2004

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