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

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