Vortex nucleation in rotating Bose-Einstein condensates with density-dependent gauge potential

Abstract

We study numerically the vortex dynamics and vortex-lattice formation in a rotating density-dependent Bose-Einstein condensate (BEC), characterized by the presence of nonlinear rotation. By varying the strength of nonlinear rotation in density-dependent BECs, we calculate the critical frequency, ${\Omega }_{\text{cr}}$, for vortex nucleation both in adiabatic and sudden external trap rotations. The nonlinear rotation modifies the extent of deformation experienced by the BEC due to the trap and shifts the ${\Omega }_{\text{cr}}$ values for vortex nucleation. The critical frequencies and thereby, the transition to vortex-lattices in an adiabatic rotation ramp, depend on conventional $\text{s}$-wave scattering lengths through the strength of nonlinear rotation, $C$, such that ${\Omega }_{\text{cr}}(C>0)<{\Omega }_{\text{cr}}(C=0)<{\Omega }_{\text{cr}}(C<0)$. In an analogous manner, the critical ellipticity (${\epsilon }_{\text{cr}}$) for vortex nucleation during an adiabatic introduction of trap ellipticity ($\epsilon$) depends on the nature of nonlinear rotation besides trap rotation frequency. The nonlinear rotation additionally affects the vortex-vortex interactions and the motion of the vortices through the condensate by altering the strength of Magnus force on them. The combined result of these nonlinear effects is the formation of the non-Abrikosov vortex-lattices and ring-vortex arrangements in the density-dependent BECs.

arXiv comment10 pages, 10 figures, Accepted for publication in PRE

References in corpus (46)

• Theory of Bose-Einstein condensation in trapped gases
• A spin-orbit coupled Bose-Einstein condensate
• Artificial gauge potentials for neutral atoms
• Vortex formation in a stirred Bose-Einstein condensate
• Vortices in a Bose-Einstein Condensate
• Light-induced gauge fields for ultracold atoms
• Bose-Einstein condensation in quasi2D trapped gases
• Bose--Einstein solitons in highly asymmetric traps
• Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
• Stationary states of a rotating Bose-Einstein condensate: routes to vortex nucleation
• Vortex lattice formation in a rotating Bose-Einstein condensate
• Measurement of the angular momentum of a rotating Bose-Einstein condensate
• Vortex nucleation in Bose-Einstein condensates in an oblate, purely magnetic potential
• Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
• Phenomenological damping in trapped atomic Bose-Einstein condensates
• Dynamic instability of a rotating Bose-Einstein condensate
• Nonlinear dynamics for vortex lattice formation in a rotating Bose-Einstein condensate
• Statistically induced Phase Transitions and Anyons in 1D Optical Lattices
• Von Kármán vortex street in a Bose-Einstein condensate
• Overcritical Rotation of a Trapped Bose-Einstein Condensate
• Anyons and Chiral Solitons on a Line
• Observation of density-dependent gauge fields in a Bose-Einstein condensate based on micromotion control in a shaken two-dimensional lattice
• Emergence and decay of turbulence in stirred atomic Bose-Einstein condensates
• Systematic study of Optical Feshbach Resonances in an ideal gas
• Simulating an interacting gauge theory with ultracold Bose gases
• Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta
• Spin-orbital-angular-momentum coupled Bose-Einstein condensates
• Observation of quantum phase transition in spin-orbital-angular-momentum coupled Bose-Einstein condensate
• Critical Velocity for Vortex Shedding in a Bose-Einstein Condensate
• Vortex in a trapped Bose-Einstein condensate with dipole-dipole interactions
• Dynamical Instability of a Rotating Dipolar Bose-Einstein Condensate
• Modulational instability and soliton generation in chiral Bose-Einstein condensates with zero-energy nonlinearity
• Exact solutions and stability of rotating dipolar Bose-Einstein condensates in the Thomas-Fermi limit
• Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory
• Pinning of Hidden Vortices in Bose-Einstein Condensate
• Instabilities leading to vortex lattice formation in rotating Bose-Einstein condensates
• Vortex formation of a Bose-Einstein condensate in a rotating deep optical lattice
• Stability of matter-wave solitons in a density-dependent gauge theory
• Instability of Rotationally Tuned Dipolar Bose-Einstein Condensates
• Vortex patterns and the critical rotational frequency in rotating dipolar Bose-Einstein condensates
• Vortex Lattice Structures of a Bose-Einstein Condensate in a Rotating Triangular Lattice Potential
• Vortex patterns of atomic Bose-Einstein condensates in a density-dependent gauge potential
• Vortex dynamics in superfluids governed by an interacting gauge theory
• Quantized vortices in interacting gauge theories
• Disorder Induced Vortex Lattice Melting in Bose-Einstein Condensate
• Chaotic dynamics of Bose-Einstein condensate in a density-dependent gauge field

Cited by in corpus (2)

• Hidden vortices and Feynman rule in Bose-Einstein condensates with density-dependent gauge potential
• Excitation spectrum of vortex-lattice modes in a rotating condensate with a density-dependent gauge potential