Kosterlitz-Thouless transition of the quasi two-dimensional trapped Bose gas

Details Kosterlitz-Thouless transition of the quasi two-dimensional trapped Bose gas Kosterlitz-Thouless transition of the quasi two-dimensional trapped Bose gas

2007-10-26

arxiv.org/abs/0710.5060v1

Physical Review Letters 100, 190402 (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.100.190402

We present Quantum Monte Carlo calculations with up to N=576000 interacting bosons in a quasi two-dimensional trap geometry closely related to recent experiments with atomic gases. The density profile of the gas and the non-classical moment of inertia yield intrinsic signatures for the Kosterlitz--Thouless transition temperature T_KT. From the reduced one-body density matrix, we compute the condensate fraction, which is quite large for small systems. It decreases slowly with increasing system sizes, vanishing in the thermodynamic limit. We interpret our data in the framework of the local-density approximation, and point out the relevance of our results for the analysis of experiments.

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