Particle number fluctuations in a cloven trapped Bose gas at finite temperature

Details Particle number fluctuations in a cloven trapped Bose gas at finite temperature Particle number fluctuations in a cloven trapped Bose gas at finite temperature

2010-03-03

arxiv.org/abs/1003.0761v1

Physical Review A: Atomic, Molecular and Optical Physics 81 (2010) 053623

Physics

Condensed Matter

Quantum Gases

8 pages, 4 figures

Scientific paper

We study fluctuations in the atom number difference between two halves of a harmonically trapped Bose gas in three dimensions. We solve the problem analytically for non interacting atoms. In the interacting case we find an analytical solution in the Thomas-Fermi and high temperature limit in good agreement with classical field simulations. In the large system size limit, fluctuations in the number difference are maximal for a temperature $T\simeq 0.7 T_c$ where $T_c$ is the critical temperature, independently of the trap anisotropy. The occurrence of this maximum is due to an interference effect between the condensate and the non-condensed field.

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