Quantized vortices in a rotating Bose-Einstein condensate with spatiotemporally modulated interaction

Abstract

We present theoretical analysis and numerical studies of the quantized vortices in a rotating Bose-Einstein condensate with spatiotemporally modulated interaction in harmonic and anharmonic potentials, respectively. The exact quantized vortex and giant vortex solutions are constructed explicitly by similarity transformation. Their stability behavior has been examined by numerical simulation, which shows that a new series of stable vortex states (defined by radial and angular quantum numbers) can be supported by the spatiotemporally modulated interaction in this system. We find that there exist stable quantized vortices with large topological charges in repulsive condensates with spatiotemporally modulated interaction. We also give an experimental protocol to observe these vortex states in future experiments.

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• Dynamics of vortex quadrupoles in nonrotating trapped Bose-Einstein condensate
• Exactly solvable Gross-Pitaevskii type equations
• Bose-Einstein condensates in an eightfold symmetric optical lattice
• Critical behavior of Tan's contact for bosonic systems with a fixed chemical potential
• Coupled density-spin Bose-Einstein condensates dynamics and collapse in systems with quintic nonlinearity
• Damping in two component Bose gas
• Rebound-through transition of bright-bright solitons collision in two species condensates with repulsive interspecies interactions