Abstract
We provide a detailed presentation of the functional renormalisation group (FRG) approach for weakly-interacting Bose–Bose mixtures, including a complete discussion on the RG equations. To test this approach, we examine thermodynamic properties of balanced three-dimensional Bose–Bose gases at zero and finite temperatures and find a good agreement with related works. We also study ground-state energies of repulsive Bose polarons by examining mixtures in the limit of infinite population imbalance. Finally, we discuss future applications of the FRG to novel problems in Bose–Bose mixtures and related systems.
Highlights
The experimental realisation of Bose–Einstein condensation (BEC) with cold alkali atoms [1,2,3] has greatly increased the interest in degenerate low-temperature quantum gases in the past two decades [4]
We give a detailed presentation of the functional renormalisation group (FRG) framework for weaklyinteracting Bose–Bose mixtures by generalising previous works on balanced repulsive mixtures and Bose polarons
We find that the FRG gives a good description of three-dimensional mixtures at zero and finite temperatures in the cases studied
Summary
The experimental realisation of Bose–Einstein condensation (BEC) with cold alkali atoms [1,2,3] has greatly increased the interest in degenerate low-temperature quantum gases in the past two decades [4]. Some of us have successfully applied the FRG to the study of both balanced repulsive Bose–Bose mixtures [81] and strongly-interacting Bose polarons [82], both in homogeneous configurations at zero temperature. These results make the FRG a promising approach to give a consistent and unified description of Bose–Bose gases and.
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