Dynamics of Rapidly Rotating Bose-Einstein Quantum Droplets

Abstract

The work theoretically investigates the dynamics of trapped rapidly rotating Bose-Einstein droplets governed by the modified Gross-Pitaevskii equation with the inclusion of Lee-Huang-Yang nonlinear interaction. Mimicking the quantum Hall systems, the stationary properties of droplets are obtained by minimizing the energy functional established based on the Laughlin-like wavefunction including Landau-Level mixing. By tuning the particle-particle interaction and rotation speed, the preference of the formation of the center-of-mass state, vortex state, and off-centered vortex state can be distinguished on the phase diagram. Under fast rotations, the highly-spiral phase portraits reveal that the emergence of huge vortices with high angular momentum would stabilize the droplets against centrifugal depletion. By solving Euler-Lagrange equations, the periodicity and stability of each phase's breathing and trajectory during long-time evolution are analyzed. As a signature of superfluids, the generation of nonuniform persistent currents of multiple topological charges is also a direct reflection of dynamic breathing induced by the Landau-Level mixing effect