Possible critical regions for the ground state of a Bose gas in a spherical trap

2014/01/29 by Maksim Tomchenko, Tomchenko, Maksim
Physics and Astronomy · #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #cond-mat.quant-gas

paper · pdf · doi:10.48550/arxiv.1401.7482

7 pages, 3 figures

arxiv created 2014/01/29 · arxiv updated 2014/01/30

Abstract

With the help of perturbation theory, we study the ground state of a Bose gas in a spherical trap, using the solution in the Thomas--Fermi approximation as the zero approximation. We have found within a certain approximation that, in some very narrow intervals of values of the magnetic field of a trap, the solution deviates strongly from that in the Thomas--Fermi approximation. If the magnetic field is equal to one of such critical values, the size (or even the shape) of the condensate cloud should significantly differ from the Thomas--Fermi one.

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