Abstract
Sensitive measurements of the density fluctuations in ultracold gases performed recently evidenced quantum statistical effects, i.e. an enhancement of the density fluctuations in Bose gas and a suppression of the fluctuations in Fermi gas. In this paper we study thermal equilibrium fluctuations in the atomic number difference between the two halves of a harmonically trapped Fermi gas split by a delta potential. We show how splitting the potential strength affects the fluctuations.
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