Condensation and superfluidity of $SU(N)$ Bose gas

Orest Hryhorchak; Volodymyr Pastukhov

doi:10.1016/j.physb.2020.412017

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arXiv · 1902.02218

Condensation and superfluidity of $SU(N)$ Bose gas

Orest Hryhorchak·Volodymyr Pastukhov

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Abstract

We perform the comprehensive comparison of properties of the condensate and superfluid densities for the $N$-component three-dimensional Bose gas with the symmetric inter- and intraspecies short-range interaction between particles. In particular, based on the large-$N$ 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.

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Orest Hryhorchak, Volodymyr Pastukhov. 2020-01-13. Condensation and superfluidity of $SU(N)$ Bose gas. https://doi.org/10.1016/j.physb.2020.412017

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