Thermodynamics of non-interacting bosons in low-dimensional potentials

  • Gert-Ludwig Ingold
  • Astrid Lambrecht


On the basis of a macroscopic ground state population it was argued recently that Bose-Einstein condensation should occur in a one-dimensional harmonic potential. We examine this situation by drawing analogies to bosons in a two-dimensional box, where the thermodynamic limit is well-defined. We show that in both systems although the ground state populations show sharp onsets at the critical temperature, the behaviour of the specific heat is analytic, which proves the absence of a phase transition in these systems.

PACS. 03.75.Fi Phase coherent atomic ensemble (Bose condensation) - 05.30.Jp Boson systems - 64.60.-i General studies of phase transitions 


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Copyright information

© EDP Sciences, Springer-Verlag 1998

Authors and Affiliations

  • Gert-Ludwig Ingold
    • 1
  • Astrid Lambrecht
    • 2
  1. 1.Institut für Physik, Universität Augsburg, Memminger Str. 6, 86135 Augsburg, GermanyDE
  2. 2.Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, GermanyDE

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