Fast rotating condensates in an asymmetric harmonic trap
arXiv:0804.0971 · doi:10.1103/PhysRevA.79.011603
Abstract
We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. Fast rotation is reached when the rotational velocity is close to the smallest trapping frequency, thereby deconfining the condensate in the corresponding direction. A striking new feature is the non-existence of visible vortices for the ground state. The condensate can be described with the lowest Landau level set of states, but using distorted complex coordinates. We find that the coarse grained atomic density behaves like an inverted parabola with large radius in the deconfined direction, and like a fixed Gaussian in the other direction. It has no visible vortices, but invisible vortices which are needed to recover the mixed Thomas-Fermi Gaussian profile. There is a regime of small anisotropy and intermediate rotational velocity where the behaviour is similar to the isotropic case: a hexagonal Abrikosov lattice of vortices, with an inverted parabola profile.
4 pages, 2 figures
References in corpus (15)
- Vortex formation in a stirred Bose-Einstein condensate
- Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
- Driving Bose-Einstein condensate vorticity with a rotating normal cloud
- Bose-Einstein Condensates with Large Number of Vortices
- Lowest-Landau-level theory of the quantum Hall effect: the Fermi-liquid-like state
- Vortex patterns in a fast rotating Bose-Einstein condensate
- Rapid rotation of a Bose-Einstein condensate in a harmonic plus quartic trap
- 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
- Vortex lattice of a Bose-Einstein Condensate in a rotating anisotropic trap
- Two-dimensional Bose gas under extreme rotation
- Lowest Landau-level description of a Bose-Einstein condensate in a rapidly rotating anisotropic trap
- Vortex stabilization in a small rotating asymmetric Bose-Einstein condensate
- Vortex distribution in the Lowest Landau Level
- Vortices in a rotating BEC under extreme elongation
Cited by in corpus (20)
- Crystallization of Bosonic Quantum Hall States
- Geometric squeezing into the lowest Landau level
- Formation and structure of vortex lattices in a rotating double-well Bose-Einstein condensate
- Rotational properties of dipolar Bose-Einstein condensates confined in anisotropic harmonic potentials
- Small Numbers of Vortices in Anisotropic Traps
- Vortex structures in rotating Bose-Einstein condensates
- Dynamics of entanglement between two harmonic modes in stable and unstable regimes
- Entanglement of two harmonic modes coupled by angular momentum
- Stability, complex modes and non-separability in rotating quadratic potentials
- Structural change of vortex patterns in anisotropic Bose-Einstein condensates
- Fast Converging Path Integrals for Time-Dependent Potentials I: Recursive Calculation of Short-Time Expansion of the Propagator
- Nonlinear dynamics of a semiquantum Hamiltonian in the vicinity of quantum unstable regimes
- Fast Converging Path Integrals for Time-Dependent Potentials II: Generalization to Many-body Systems and Real-Time Formalism
- Nonlinear effects on the dynamics of quantum harmonic modes coupled through angular momentum
- Bose-Einstein condensate in a rapidly rotating non-symmetric trap
- Vortex structures of rotating Bose-Einstein condensates in anisotropic harmonic potential
- Rapidly Rotating Fermions in an Anisotropic Trap
- Vortex and fractional quantum Hall phases in a rotating anisotropic Bose gas
- Restoring quasi-reversibility with a single topological charge
- Effective field theory for the superfluid vortex lattice from coset construction