Dynamics of rapidly rotating Bose-Einstein condensates in a harmonic plus quartic trap

Abstract

A two-dimensional rapidly rotating Bose-Einstein condensate in a harmonic plus quartic trap is expected to have unusual vortex states that do not occur in a pure harmonic trap. At a critical rotation speed ${\Omega }_h$, a central hole appears in the condensate, and at some faster rotation speed ${\Omega }_g$, the system undergoes a transition to a giant vortex state with pure irrotational flow. Using a time-dependent variational analysis, we study the behavior of an annular condensate with a single concentric ring of vortices. The transition to a giant vortex state is investigated by comparing the energy of the two equilibrium states (the ring of vortices and the giant vortex) and also by studying the dynamical stability of small excitation modes of the ring of vortices.

12pages, 4figures

References in corpus (8)

• Rapid rotation of a Bose-Einstein condensate in a harmonic plus quartic trap
• Experimental studies of equilibrium vortex properties in a Bose-condensed gas
• Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates
• Vortex lattices in the lowest Landau level for confined Bose-Einstein condensates
• Phases of a rotating Bose-Einstein condensate with anharmonic confinement
• Dynamics of a single ring of vortices in two-dimensional trapped Bose-Einstein condensates
• Hysteresis and persistent currents in a rotating Bose-Einstein condensate with anharmonic confinement
• Oscillations of a Bose-Einstein condensate rotating in a harmonic plus quartic trap

Cited by in corpus (23)

• Stable giant vortex annuli in microwave-coupled atomic condensates
• Vortex signatures in annular Bose-Einstein condensates
• A vortex dipole in a trapped two-dimensional Bose-Einstein condensate
• The Transition to a Giant Vortex Phase in a Fast Rotating Bose-Einstein Condensate
• Transition to the Giant Vortex State in an Harmonic Plus Quartic Trap
• The dynamics of quantum vortices in a toroidal trap
• Rotating superfluids in anharmonic traps: From vortex lattices to giant vortices
• Rapidly Rotating Bose-Einstein Condensates in Strongly Anharmonic Traps
• Ground-state multiquantum vortices in rotating two-species superfluids
• Motion of a vortex line near the boundary of a semi-infinite uniform condensate
• Rotation of a Bose-Einstein Condensate held under a toroidal trap
• Critical Rotational Speeds for Superfluids in Homogeneous Traps
• Critical Temperature for Bose-Einstein condensation in quartic potentials
• Vortex Rings in Fast Rotating Bose-Einstein Condensates
• Giant vortex phase transition in rapidly rotating trapped Bose-Einstein condensates
• Vortex Phases of Rotating Superfluids
• Vortex nucleation processes in rotating lattices of Bose-Einstein condensates ruled by the on-site phases
• Fragility of the Laughlin state in an anharmonically-trapped Bose-Einstein condensate
• On the Third Critical Speed for Rotating Bose-Einstein Condensates
• Influence of global features of a Bose-Einstein condensate on the vortex velocity
• Modeled vortex dynamics on a Bose-Einstein condensate in a rotating lattice
• Analytic Vortex Dynamics in an Annular Bose-Einstein Condensate
• Transition from the mean-field to the bosonic Laughlin state in a rotating Bose-Einstein condensate