Manifestation of relative phase in dynamics of two interacting Bose-Bose droplets

Abstract

We study coherent dynamics of two interacting Bose-Bose droplets by means of the extended Gross-Pitaevskii equation. The relative motion of the droplets couples to the phases of their components. The dynamics can be understood in terms of the evolution of zero-energy modes recovering symmetries spontaneously broken by the mean-field solution. These are translational symmetry and two U(1) symmetries, associated with the phases of the droplets' two components. A phase-dependent interaction potential and double Josephson-junction equations are introduced to explain the observed variety of different scenarios of collision. We show that the evolution of the droplets is a macroscopic manifestation of the hidden dynamics of their phases. The occurrence of nondissipative drag between the two supercurrents (Andreev-Bashkin effect) is mentioned.

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Cited by in corpus (7)

• Interaction of One-Dimensional Quantum Droplets with Potential Wells and Barriers
• Vortex-ring quantum droplets in a radially-periodic potential
• Two-dimensional quantum droplets in binary quadrupolar condensates
• Signature of Andreev-Bashkin superfluid drag from Cavity Optomechanics
• Supersolidity of dipolar Bose-Einstein condensates induced by coupling to fermions
• Josephson Dynamics of 2D Bose-Einstein Condensates in Dual-Core Trap: Homogeneous, Droplet-Droplet, and Vortex-Vortex Regimes
• Drag-induced dynamical formation of dark solitons in Bose mixture on a ring