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

Felipe Isaule; Ivan Morera

doi:10.20944/preprints202112.0260.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 14 December 2021 / Approved: 15 December 2021 / Online: 15 December 2021 (16:56:18 CET)

We provide a detailed presentation of the functional renormalisation group (FRG) approach to 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.

quantum gases; bose-bose mixtures; bose polarons; renormalisation group

PHYSICAL SCIENCES, Atomic & Molecular Physics

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

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