Document EPL, 82 (2008) 30001
DOI: 10.1209/0295-5075/82/30001
Semiclassical theory of the quasi
two-dimensional trapped Bose gas
Markus Holzmann1, 2, Maguelonne Chevallier3 and Werner Krauth3 1 LPTMC, Université Pierre et Marie Curie - 4 Place Jussieu, 75005 Paris, France, EU
2 LPMMC, CNRS-UJF - BP 166, 38042 Grenoble, France, EU
3 CNRS-Laboratoire de Physique Statistique, Ecole Normale Supérieure - 24 rue Lhomond, 75231 Paris Cedex 05, France, EU
werner.krauth@lps.ens.fr
received 18 January 2008; accepted in final form 9 March 2008; published May 2008
published online 16 April 2008
Abstract
We discuss the quasitwo-dimensional trapped Bose gas where
the thermal occupation of excited states in the tightly confined direction is small
but remains finite in the thermodynamic limit. We show that the semiclassical
theory describes very accurately the density profile obtained by quantum Monte
Carlo calculations in the normal phase above the Kosterlitz-Thouless temperature
T
, but
differs strongly from the predictions of strictly two-dimensional mean-field theory, even
at relatively high temperature. We discuss the relevance of our findings for analyzing
ultra-coldatom experiments in quasitwo-dimensional traps.
03.75.Hh - Static properties of condensates; thermodynamical, statistical, and structural properties.
05.30.Jp - Boson systems.
© EPLA 2008