Stripes and honeycomb lattice of quantized vortices in rotating two-component Bose-Einstein condensates

Abstract

We study numerically the structure of a vortex lattice in two-component Bose-Einstein condensates with equal atomic masses and equal intra- and inter-component coupling strengths. The numerical simulations of the Gross-Pitaevskii equation show that the quantized vortices form uncertain lattice configurations accompanying the vortex stripes, honeycomb lattices, and their complexes. This is a result of the degeneracy of the system for the SU(2) symmetric operation, which makes a continuous transformation between the above structures. In terms of the pseudospin representation, the complex lattice structures are identified to a hexagonal lattice of doubly-winding half-skyrmions.

6 pages, 4 figures

References in corpus (8)

• Double species condensate with tunable interspecies interactions
• Vortex sheet in rotating two-component Bose-Einstein condensates
• Vortex lattices in binary Bose-Einstein condensates with dipole-dipole interactions
• Vortex Lattice Locking in Rotating Two-Component Bose-Einstein Condensates
• Vortex lattices in dipolar two-component Bose-Einstein condensates
• Infinite Lattices of Vortex Molecules in Rabi-Coupled Condensates
• Fluctuation effects in rotating Bose-Einstein condensates with broken $\mathrm{SU}(2)$ and $\mathrm{U}(1)\times \mathrm{U}(1)$ symmetries in the presence of intercomponent density-density interactions
• Boson-vortex duality in compressible spin-orbit coupled BECs

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• Formation of local and global currents in a toroidal Bose--Einstein condensate via an inhomogeneous artificial gauge field
• Vortex-lattice structures in rotating Bose-Fermi superfluid mixtures
• Giant vortex in a harmonically-trapped rotating dipolar ${}^{164}$Dy condensate
• Controlling Vortex Lattice Structure of Binary Bose-Einstein Condensates via Disorder Induced Vortex Pinning