The European Physical Journal B

, Volume 68, Issue 3, pp 453–455 | Cite as

On the critical point of an interacting two-dimensional trapped Bose gas

  • T. P. Simula


We consider a quantized vortex excitation in a two-dimensional, harmonically trapped Bose gas and derive an equation for the Berezinskii-Kosterlitz-Thouless transition temperature based on a simple free-energy argument. We relate the critical phase-space density at the transition to the ratio between the entropy gain and the corresponding cost in energy of creating a free vortex excitation in the system.


03.75.Lm Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations 05.30.Jp Boson systems 67.85.De Dynamic properties of condensates; excitations, and superfluid flow 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • T. P. Simula
    • 1
  1. 1.Department of PhysicsOkayama UniversityOkayamaJapan

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