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arXiv · 2202.10113

Self-consistent Description of Bose-Bose Droplets: Harmonically Trapped Quasi-2D Droplets

Paweł Zin·Maciej Pylak·Mariusz Gajda
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Abstract

We describe a quantum droplet of a Bose-Bose mixture squeezed by an external harmonic forces in one spatial direction. Our approach is based on the self-consistent method formulated in [1]. The true spatial droplet profile in the direction of confinement is accounted for, however local density approximation is assumed in the free directions. We define a numerical approach to find the beyond-mean-field contribution to the chemical potential (Lee-Huang-Yang chemical potential) -- the quantity that determines the droplet's profile. In addition to the numerical approach, we find the Lee-Huang-Yang potential in the analytic form in two limiting cases: a perturbative result for a strong confinement and a semiclassical expression when confinement is very weak.

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Paweł Zin, Maciej Pylak, Mariusz Gajda. 2022-02-21. Self-consistent Description of Bose-Bose Droplets: Harmonically Trapped Quasi-2D Droplets. https://doi.org/10.1103/physreva.106.013320

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