Vortex Synchronization in Bose-Einstein Condensates: A Time-Dependent Gross-Pitaevskii Equation Approach

Abstract

In this work we consider vortex lattices in rotating Bose-Einstein Condensates composed of two species of bosons having different masses. Previously [1] it was claimed that the vortices of the two species form bound pairs and the two vortex lattices lock. Remarkably, the two condensates and the external drive all rotate at different speeds due to the disparity of the masses of the constituent bosons. In this paper we study the system by solving the full two-component Gross-Pitaevskii equations numerically. Using this approach we verify the stability of the putative locked state which is found to exist within a disk centered on the axis of rotation and which depends on the mass ratio of the two bosons. We also show that an analytic estimate of this locking radius based on a two-body force calculation agrees well with the numerical results.

6.1 pages, 3 figures

References in corpus (4)

• Observation of Vortex Pinning in Bose-Einstein Condensates
• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Vortex lattice transitions in cyclic spinor condensates
• Vortex Lattice Locking in Rotating Two-Component Bose-Einstein Condensates

Cited by in corpus (9)

• A classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate
• Prethermalization in quenched spinor condensates
• Exotic vortex lattices in two-species Bose-Einstein condensates
• Exotic Vortex Lattices in Binary Repulsive Superfluids
• Equilibrium vortex lattices of a binary rotating atomic Bose-Einstein condensate with unequal atomic masses
• Vortex Lattices in Binary Mixtures of Repulsive Superfluids
• Simulating Infinite Vortex Lattices in Superfluids
• Vortex Formation in Two-Dimensional Bose Gas
• Controlling Vortex Lattice Structure of Binary Bose-Einstein Condensates via Disorder Induced Vortex Pinning