Polarized Rabi-Coupled and Spinor Boson Droplets

Abstract

Self-bound quantum droplets form when the mean-field tendency of the gas to collapse is stabilized by the effectively repulsive beyond mean-field fluctuations. The beyond mean-field effects depend on Rabi-frequency ωR and quadratic Zeeman effect q for the Rabi-coupled Bose mixtures and the spinor gases, respectively. The effects of varying ωR and q on the quantum droplet have recently been examined for unpolarized Rabi-coupled Bose mixture with zero detuning δ = 0 and unpolarized spinor gas with Fz = 0. In this paper, we theoretically explore the stability of the droplet phase for polarized δ = 0 Rabi-coupled Bose mixture and Fz = 0 spinor gas. We calculate the Lee-Huang-Yang corrections for both gases with polarized order parameters and obtain the phase diagram of the droplets on the parameter space of ωR-δ and q-p for Rabi-coupled mixture and spinor gas, respectively. Finally, we highlight the similarities and differences between the two systems and discuss their experimental feasibility.