Immiscible Bose mixtures in 2D

[Submitted on 25 Oct 2022]

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Overview: These lecture notes describe the physics of two-dimensional binary mixtures of Bose gas at zero temperature near the point where the two fluids separate. We are interested when one of the two fluids (the bath) fills the entire space and the other fluid (the minority component) contains a finite number of atoms. We discuss the conditions under which minority components can form stable local wavepackets and relate this to the famous “Towns soliton”. We describe this soliton formation and the transition to the droplet regime that occurs when the number of atoms in the minority component increases. Our investigation is based on a macroscopic approach based on the coupled Gross-Pitaevskii equations, complemented by a microscopic analysis on the bath-mediated interactions between particles of minority constituents.