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

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      Author
      Bayindir, M.
      Tanatar, B.
      Gedik, Z.
      Date
      1999
      Journal Title
      Physical Review A - Atomic, Molecular, and Optical Physics
      ISSN
      1050-2947 (print)
      Publisher
      American Physical Society
      Volume
      59
      Issue
      2
      Pages
      1468 - 1472
      Language
      English
      Type
      Article
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      Please cite this item using this persistent URL
      http://hdl.handle.net/11693/25275
      Abstract
      We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form V ext(x) = V 0(|x|/a) γ, in which γ<2, by solving the Gross-Pitaevskii equation within the semiclassical 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 a finite number of particles at low temperature, indicating a phase transition for weakly interacting systems.
      Published as
      https://doi.org/10.1103/PhysRevA.59.1468
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