Exact vortex nucleation and cooperative vortex tunneling in dilute BECs
arXiv:0707.3065 · doi:10.1103/PhysRevLett.101.110401
Abstract
With the imminent advent of mesoscopic rotating BECs in the lowest Landau level (LLL) regime, we explore LLL vortex nucleation. An exact many-body analysis is presented in a weakly elliptical trap for up to 400 particles. Striking non-mean field features are exposed at filling factors >>1 . Eg near the critical rotation frequency pairs of energy levels approach each other with exponential accuracy. A physical interpretation is provided by requantising a mean field theory, where 1/N plays the role of Planck's constant, revealing two vortices cooperatively tunneling between classically degenerate energy minima. The tunnel splitting variation is described in terms of frequency, particle number and ellipticity.
4 pages,4 figures
References in corpus (21)
- Vortex formation in a stirred Bose-Einstein condensate
- Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
- Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
- Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
- Vortex lattice formation in a rotating Bose-Einstein condensate
- Vortex nucleation in Bose-Einstein condensates in an oblate, purely magnetic potential
- Condensation of `composite bosons' in a rotating BEC
- Bose-Einstein Condensates with Large Number of Vortices
- Do attractive bosons condense?
- Dynamic instability of a rotating Bose-Einstein condensate
- Observation of Phase Defects in Quasi-2D Bose-Einstein Condensates
- Dynamics of a Vortex in a Trapped Bose-Einstein Condensate
- Vortex lattices in the lowest Landau level for confined Bose-Einstein condensates
- Exact Eigenstates for Repulsive Bosons in Two Dimensions
- 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
- Superfluid Expansion of a Strongly Interacting Fermi Gas
- Vortex stabilization in a small rotating asymmetric Bose-Einstein condensate
- Exact solutions for interacting boson systems under rotation
- Anomalous hydrodynamics and "normal" fluids in rapidly rotating BECs
Cited by in corpus (18)
- Rapidly Rotating Atomic Gases
- Vortices in quantum droplets: Analogies between boson and fermion systems
- Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition
- Vortex nucleation as a case study of symmetry breaking in quantum systems
- Condensed Groundstates of Frustrated Bose-Hubbard Models
- Fractional quantum Hall states of few bosonic atoms in geometric gauge fields
- Strongly correlated states of a small cold atomic cloud from geometric gauge fields
- Vortex nucleation in mesoscopic Bose superfluid and breaking of the parity symmetry
- Vortices in Bose-Einstein condensates - finite-size effects and the thermodynamic limit
- Quantifying Finite Temperature Effects in Atom Chip Interferometry of Bose-Einstein Condensates
- A fully quantal molecular description for the spectra of bosons and fermions in the lowest Landau level
- Quantal molecular description and universal aspects of the spectra of bosons and fermions in the lowest Landau level
- Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions
- Enhanced quantum spin fluctuations in a binary Bose-Einstein condensate
- Degeneracy of Many-body Quantum States in an Optical Lattice with a Uniform Magnetic Field
- Strong correlations in quantum vortex nucleation of ultracold atomic gases
- Improved variational approach to the two-site Bose-Hubbard model
- A two-state model for vortex nucleation in a rotating Bose-Einstein condensate