Persistent current of atoms in a ring optical lattice
arXiv:cond-mat/0607274 · doi:10.1088/1367-2630/8/9/197
Abstract
We consider a small ensemble of Bose atoms in a ring optical lattice with weak disorder. The atoms are assumed to be initially prepared in a superfluid state with non-zero quasimomentum and, hence, may carry matter current. It is found that the atomic current persists in time for a low value of the quasimomentum but decays exponentially for a high (around one quater of the Brillouin zone) quasimomentum. The explanation is given in terms of low- and high-energy spectra of the Bose-Hubbard model, which we describe using the Bogoliubov and random matrix theories, respectively.
17 pages, IOP-style
References in corpus (16)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- The cold atom Hubbard toolbox
- Modulational instability in cigar shaped Bose-Einstein condensates in optical lattices
- Dynamical Superfluid-Insulator Transition in a Chain of Weakly Coupled Bose-Einstein Condensates
- Observation of dynamical instability for a Bose-Einstein condensate in a moving 1D optical lattice
- Motion of a heavy impurity through a Bose-Einstein condensate
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- Quantum many particle systems in ring-shaped optical lattices
- Phase Diagram of Bosonic Atoms in Two-Color Superlattices
- Superfluid current disruption in a chain of weakly coupled Bose-Einstein Condensates
- Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
- Wigner Random Banded Matrices with Sparse Structure: Local Spectral Density of States
- Quantum Chaos in the Bose-Hubbard model
- Bogoliubov approach to superfluidity of atoms in an optical lattice
- Decay of a superfluid currents in a moving system of strongly interacting bosons
- Persistent currents in a circular array of Bose-Einstein condensates
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- Decay of superfluid currents in the interacting one-dimensional Bose gas
- Criticality and Spin Squeezing in the Rotational Dynamics of a BEC on a Ring Lattice
- Understanding quantum work in a quantum many-body system
- Engineering many-body quantum dynamics by disorder
- Atomic current in optical lattices: Esaki-Tsu equation revisited
- Robustness of discrete semifluxons in closed Bose-Hubbard chains
- Blocked populations in ring-shaped optical lattices
- Superfluidity breakdown of periodic matter waves in quasi one-dimensional annular traps via resonant scattering with moving defects
- Spontaneous currents in a bosonic ring
- Influence of quantum fluctuations on the superfluid critical velocity of a one-dimensional Bose gas
- Instability and particle current control of a parametrically driven Bose-Einstein condensate in a ring-shaped lattice