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Dependence of the Bose-Condensate Population Fluctuations in a Gas of Interacting Particles on the System Size: Numerical Analysis

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Radiophysics and Quantum Electronics Aims and scope

We consider the Bose-condensate population statistics for a gas of interacting particles confined into a three-dimensional cubic trap with different boundary conditions at a low temperature. Behavior of the mathematical expectation and variance of the condensate population with the system size increase corresponding to the transition to a thermodynamic limit at constant temperature and density of the gas is examined on the basis of numerical calculations. A competition between the thermal and quantum contributions to the moments of the statistical distribution, as well as the dependence of the statistics character on the boundary conditions, are analyzed for a wide range of trap sizes corresponding to the actual experiments. We estimate with what accuracy and starting with which system sizes the thermodynamic-limit results could be applied to the actual mesoscopic systems.

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Authors and Affiliations

  1. Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia

    S. V. Tarasov, Vl. V. Kocharovsky & V. V. Kocharovsky

  2. Texas A&M University, College Station, USA

    V. V. Kocharovsky

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  1. S. V. Tarasov
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  2. Vl. V. Kocharovsky
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  3. V. V. Kocharovsky
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Correspondence to S. V. Tarasov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 63, No. 4, pp. 319–329, April 2020.

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Tarasov, S.V., Kocharovsky, V.V. & Kocharovsky, V.V. Dependence of the Bose-Condensate Population Fluctuations in a Gas of Interacting Particles on the System Size: Numerical Analysis. Radiophys Quantum El 63, 288–297 (2020). https://doi.org/10.1007/s11141-021-10053-3

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