Bose-Einstein condensation in a one-dimensional interacting system due to power-law trapping potentials

M. Bayindir; B. Tanatar; Z. Gedik

doi:10.1103/PhysRevA.59.1468

Bose-Einstein condensation in a one-dimensional interacting system due to power-law trapping potentials

Statistical Mechanics 2009-10-31 v1

Authors: M. Bayindir , B. Tanatar , Z. Gedik

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Abstract

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$ , in which $\gamma < 2$ , by solving the Gross-Pitaevskii equation within the semi-classical two-fluid model. The condensate fraction, chemical potential, ground state energy, and specific heat of the system are calculated for various values of interaction strengths. Our results show that a significant fraction of the particles is in the lowest energy state for finite number of particles at low temperature indicating a phase transition for weakly interacting systems.

Keywords

Bose-Einstein condensation one-dimensional systems power-law trapping Gross-Pitaevskii equation two-fluid model

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@article{arxiv.cond-mat/9810197,
  title  = {Bose-Einstein condensation in a one-dimensional interacting system due to power-law trapping potentials},
  author = {M. Bayindir and B. Tanatar and Z. Gedik},
  journal= {arXiv preprint arXiv:cond-mat/9810197},
  year   = {2009}
}

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LaTeX, 6 pages, 8 figures, uses grafik.sty (included), to be published in Phys. Rev. A

Bose-Einstein condensation in a one-dimensional interacting system due to power-law trapping potentials

Abstract

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