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arXiv · 1003.0761

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

Alice Sinatra·Yvan Castin·Yun Li
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Abstract

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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Alice Sinatra, Yvan Castin, Yun Li. 2010-03-03. Particle number fluctuations in a cloven trapped Bose gas at finite temperature. https://doi.org/10.1103/physreva.81.053623

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