Coherence properties of the two-dimensional Bose-Einstein condensate

Christopher Gies and D. A. W. Hutchinson
Phys. Rev. A 70, 043606 – Published 5 October 2004

Abstract

We present a detailed finite-temperature Hartree-Fock-Bogoliubov (HFB) treatment of the two-dimensional trapped Bose gas. We highlight the numerical methods required to obtain solutions to the HFB equations within the Popov approximation, the derivation of which we outline. This method has previously been applied successfully to the three-dimensional case and we focus on the unique features of the system which are due to its reduced dimensionality. These can be found in the spectrum of low-lying excitations and in the coherence properties. We calculate the Bragg response and the coherence length within the condensate in analogy with experiments performed in the quasi-one-dimensional regime [Richard et al., Phys. Rev. Lett. 91, 010405 (2003)] and compare to results calculated for the one-dimensional case. We then make predictions for the experimental observation of the quasicondensate phase via Bragg spectroscopy in the quasi-two-dimensional regime.

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  • Received 3 June 2004

DOI:https://doi.org/10.1103/PhysRevA.70.043606

©2004 American Physical Society

Authors & Affiliations

Christopher Gies* and D. A. W. Hutchinson

  • Department of Physics, University of Otago, P.O. Box 56, Dunedin, New Zealand

  • *Electronic address: cluso@physics.otago.ac.nz
  • Electronic address: hutch@physics.otago.ac.nz

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Vol. 70, Iss. 4 — October 2004

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