This article is cited in 1 paper

Physics of ultra cold atoms and their applications

Effect of boundary conditions on fluctuations of the Bose condensate of interacting atoms

S. V. Tarasov

Federal Research Center The Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod

Abstract: For a gas of trapped interacting atoms forming a Bose condensate, we demonstrate a possibility of a significant influence of the boundary conditions on the statistics of the number of particles in the fundamental mode of the system. The analysis is carried out in the Bogoliubov – Popov low-temperature approximation for model homogeneous cubic traps with periodic or combined periodic and zero boundary conditions. It is shown that the effect of the boundary conditions does not weaken even in the region of parameters corresponding to the relatively strong interaction in the Thomas – Fermi asymptotic case, and does not disappear when proceeding to the thermodynamic limit.

Keywords: Bose condensation, order parameter fluctuations, Bogoliubov – Popov approximation, Thomas – Fermi asymptotic case, boundary conditions.

Received: 11.03.2020
Revised: 04.04.2020

 English version: Quantum Electronics, 2020, 50:6, 525–529

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