Self-consistent description of Bose-Bose droplets: Harmonically trapped quasi-two-dimensional droplets

We describe a quantum droplet of a Bose-Bose mixture squeezed by an external harmonic force in one spatial direction. Our approach is based on the self-consistent method formulated in Zin et al. (arXiv:2202.10109) The true spatial droplet profile in the direction of confinement is accounted for; however, the 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.

Automated summary

We describe a quantum droplet of a Bose-Bose mixture squeezed by an external harmonic force in one spatial direction. We investigate the droplet's profile and chemical potential using both numerical and analytic methods.