Condensation and superfluidity of SU(N) Bose gas

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 shortrange 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.

Weakly-Interacting Bose–Bose Mixtures from the Functional Renormalisation Group

“…Finally, other related extensions include the study of coherently-coupled condensates [97,98], higher multi-component Bose gases, such as SU(N) Bose gases [99], bipolarons [100], and impurities in superfluid Fermi gases [101,102]. Such systems can be studied with similar techniques to those used in this work.…”

Weakly-Interacting Bose-Bose Mixtures from the Functional Renormalisation Group

“…Finally, other related extensions include the study of coherently-coupled condensates [90,91], higher multi-component Bose gases, such as SU(N) Bose gases [92], bipolarons [93], and impurities in superfluid Fermi gases [94,95]. Such systems can be studied with similar techniques to those used in this work.…”

Weakly-interacting Bose-Bose mixtures from the functional renormalisation group

“…Finally, other related extensions include the study of coherently-coupled condensates [100,101], higher multi-component Bose gases, such as SU(N) Bose gases [102], bipolarons [103], and impurities in superfluid Fermi gases [104,105]. Such systems can be studied with similar techniques to those used in this work.…”