Relative dynamics of quantum vortices and massive cores in binary BECs

Abstract

We study the motion of superfluid vortices with filled massive cores. Previous point-vortex models already pointed out the impact of the core mass on the vortex dynamical properties, but relied on an assumption that is questionable in many physical systems where the immiscibility condition is barely satisfied: the fact that the massive core always lays at the very bottom of the effective confining potential constituted by the hosting vortex. Here, we relax this assumption and present a new point-vortex model where quantum vortices are harmonically coupled to their massive cores. We thoroughly explore the new dynamical regimes offered by this improved model; we then show that the functional dependence of the system normal modes on the microscopic parameters can be correctly interpreted only within this new generalized framework. Our predictions are benchmarked against the numerical simulations of coupled Gross-Pitaevskii equations for a realistic mixture of atomic Bose-Einstein condensates.

29 pages, 9 figures

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• Rotational states of an asymmetric vortex pair with mass imbalance in binary condensates
• Rotating quantum droplets confined in an anharmonic potential
• Supercurrents and tunneling in massive many-vortex necklaces and star-lattices
• Measuring mutual friction in superfluids: the role of initial vortex configuration fluctuations
• Vortex Mass in Superfluid Fermi Gases along the BEC-BCS Crossover
• Explicit Symplectic Integrators for Massive Point Vortex Dynamics in Binary Mixture of Bose--Einstein Condensates
• Semiclassical states localized on a one-dimensional manifold and governed by the nonlocal NLSE with an anti-Hermitian term
• Controlled generation of 3D vortices in driven atomic Josephson junctions
• Effect of Population Imbalance on Vortex Mass in Superfluid Fermi Gases