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Phys. Rev. A 75, 031606(R) (2007) [4 pages]

Interaction-induced crossover versus finite-size condensation in a weakly interacting trapped one-dimensional Bose gas

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I. Bouchoule1, K. V. Kheruntsyan2, and G. V. Shlyapnikov3,4
1Laboratoire Charles Fabry, UMR 8501 du CNRS, 91 403 Orsay Cedex, France
2ARC Centre of Excellence for Quantum-Atom Optics, School of Physical Sciences, University of Queensland, Brisbane, Queensland 4072, Australia
3Laboratoire de Physique Theorique et Modeles Statistiques, Université Paris-Sud, 91405 Orsay Cedex, France
4Van der Waals–Zeeman Institute, University of Amsterdam, 1018 XE Amsterdam, The Netherlands

Received 8 December 2006; published 28 March 2007

We discuss the transition from a fully decoherent to a (quasi)condensate regime in a harmonically trapped weakly interacting one-dimensional (1D) Bose gas. By using analytic approaches and verifying them against exact numerical solutions, we find a characteristic crossover temperature and crossover atom number that depend on the interaction strength and the trap frequency. We then identify the conditions for observing either an interaction-induced crossover scenario or else a finite-size Bose-Einstein condensation phenomenon characteristic of an ideal trapped 1D gas.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.031606
DOI:
10.1103/PhysRevA.75.031606
PACS:
03.75.Hh, 05.30.Jp, 05.70.Ce
 
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