Rapidly rotating Bose-Einstein condensates in anharmonic potentials

Abstract

Rapidly rotating Bose-Einstein condensates confined in anharmonic traps can exhibit a rich variety of vortex phases, including a vortex lattice, a vortex lattice with a hole, and a giant vortex. Using an augmented Thomas-Fermi variational approach to determine the ground state of the condensate in the rotating frame -- valid for sufficiently strongly interacting condensates -- we determine the transitions between these three phases for a quadratic-plus-quartic confining potential. Combining the present results with previous numerical simulations of small rotating condensates in such anharmonic potentials, we delineate the general structure of the zero temperature phase diagram.

5 pages, 5 figures

References in corpus (7)

• Stationary states of a rotating Bose-Einstein condensate: routes to vortex nucleation
• Driving Bose-Einstein condensate vorticity with a rotating normal cloud
• Nonequilibrium effects of anisotropic compression applied to vortex lattices in Bose-Einstein condensates
• Giant hole and circular superflow in a fast rotating Bose-Einstein condensate
• Rotating vortex lattice in a Bose-Einstein condensate trapped in combined quadratic and quartic radial potentials
• Multiply quantized vortices in trapped Bose-Einstein condensates
• Stability of multiquantum vortices in dilute Bose-Einstein condensates

Cited by in corpus (58)

• Vortex patterns in a fast rotating Bose-Einstein condensate
• Rapid rotation of a Bose-Einstein condensate in a harmonic plus quartic trap
• Giant vortices in combined harmonic and quartic traps
• Vortices in quantum droplets: Analogies between boson and fermion systems
• Shape oscillation of a rotating Bose-Einstein condensate
• Hidden vortices in a Bose-Einstein condensate in a rotating double-well potential
• Vortex signatures in annular Bose-Einstein condensates
• Phases of a rotating Bose-Einstein condensate with anharmonic confinement
• Three-dimensional vortex structure of a fast rotating Bose-Einstein condensate with harmonic-plus-quartic confinement
• Vortex lattice of a Bose-Einstein Condensate in a rotating anisotropic trap
• 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
• Solitons and solitary vortices in "pancake"-shaped Bose-Einstein condensates
• Energy and Vorticity in Fast Rotating Bose-Einstein Condensates
• Rotating superfluids in anharmonic traps: From vortex lattices to giant vortices
• Nonlinear modes and symmetry breaking in rotating double-well potentials
• Rapidly Rotating Bose-Einstein Condensates in Strongly Anharmonic Traps
• Dynamics of rapidly rotating Bose-Einstein condensates in a harmonic plus quartic trap
• Hysteresis and persistent currents in a rotating Bose-Einstein condensate with anharmonic confinement
• Vortices in Bose-Einstein condensates with anharmonic confinement
• Quantum Hall states of bosons in rotating anharmonic traps
• Critical Rotational Speeds for Superfluids in Homogeneous Traps
• Exact diagonalization results for an anharmonically trapped Bose-Einstein condensate
• Oscillations of a Bose-Einstein condensate rotating in a harmonic plus quartic trap
• Lowest Landau Level vortex structure of a Bose-Einstein condensate rotating in a harmonic plus quartic trap
• Rotating Bose-Einstein condensates with attractive interactions
• Rapidly rotating Bose condensates
• Critical Rotational Speeds in the Gross-Pitaevskii Theory on a Disc with Dirichlet Boundary Conditions
• Localized matter-waves patterns with attractive interaction in rotating potentials
• Equilibrium vortex formation in ultrarapidly rotating two-component Bose-Einstein condensates
• The TF Limit for Rapidly Rotating Bose Gases in Anharmonic Traps
• Vortex Rings in Fast Rotating Bose-Einstein Condensates
• Vortex formation in a slowly rotating Bose-Einstein condensate confined in a harmonic-plus-gaussian laser trap
• Manipulating the rotational properties of a two-component Bose gas
• Theory of vortex-lattice melting in a one-dimensional optical lattice
• Giant vortex phase transition in rapidly rotating trapped Bose-Einstein condensates
• Breakup of rotating asymmetric quartic-quadratic trapped condensates
• Vortices in rotating Bose-Einstein condensates confined in homogeneous traps
• Phase diagram of a rapidly-rotating two-component Bose gas
• Spin-up of a superfluid vortex lattice driven by rough boundaries
• Oscillations of a rapidly rotating annular Bose-Einstein condensate
• Breathing mode frequencies of a rotating Fermi gas in the BCS-BEC crossover region
• Vortex Phases of Rotating Superfluids
• Cold quantum gases: coherent quantum phenomena from Bose-Einstein condensation to BCS pairing of fermions
• Effects of boundaries and density inhomogeneity on states of vortex matter in Bose--Einstein condensates at finite temperature
• Rotating quantum droplets confined in an anharmonic potential
• Rotating a Bose-Einstein condensate by shaking an anharmonic axisymmetric magnetic potential
• Fragility of the Laughlin state in an anharmonically-trapped Bose-Einstein condensate
• Construction of a giant vortex state in a trapped Fermi system
• On the Third Critical Speed for Rotating Bose-Einstein Condensates
• Rapidly-rotating quantum droplets confined in a harmonic potential
• Superfluid excitations in rotating two-dimensional ring traps
• Diffused vorticity approach to the oscillations of a rotating Bose-Einstein condensate confined in a harmonic plus quartic trap
• The giant vortex state for a Bose-Einstein condensate in a rotating anharmonic trap : extreme rotation regimes
• Transition from the mean-field to the bosonic Laughlin state in a rotating Bose-Einstein condensate
• Quantum tidal locking in orbiting Bose-Einstein condensates
• Restoring quasi-reversibility with a single topological charge
• Annular Bose-Einstein Condensates in the Lowest Landau Level