Condensation and superfluidity of $SU(N)$ Bose gas
Abstract
We perform the comprehensive comparison of properties of the condensate and superfluid densities for the -component three-dimensional Bose gas with the symmetric inter- and intraspecies short-range interaction between particles. In particular, based on the large- expansion approach for many-boson systems we obtain general expression for density of the superfluid component that at very low temperatures reproduce the well-know Landau's formula and non-trivially includes the thermal fluctuations in the finite-temperature region, and compare it to the condensate density calculated previously. The numerically evaluated temperature dependencies are in a qualitatively good agreement with the results of Monte Carlo simulations.
Keywords
Cite
@article{arxiv.1902.02218,
title = {Condensation and superfluidity of $SU(N)$ Bose gas},
author = {Orest Hryhorchak and Volodymyr Pastukhov},
journal= {arXiv preprint arXiv:1902.02218},
year = {2020}
}
Comments
6 pages, 3 figures; false statement about the nature of critical exponent for the superfluid density was clarified