Winding number dependence of Bose-Einstein condensates in a ring-shaped lattice
arXiv:1101.3362 · doi:10.1103/PhysRevA.83.013629
Abstract
We study the winding number dependence of the stationary states of a Bose-Einstein condensate in a ring-shaped lattice. The system is obtained by confining atoms in a toroidal trap with equally spaced radial barriers. We calculate the energy and angular momentum as functions of the winding number and the barrier height for two quite distinct particle numbers. In both cases we observe two clearly differentiated regimes. For low barriers, metastable vortex states are obtained up to a maximum winding number which depends on the particle number and barrier height. In this regime, the angular momentum and energy show, respectively, almost linear and quadratic dependences on the winding number. For large barrier heights, on the other hand, stationary states are obtained up to a maximum winding number which depends only on the number of lattice sites, whereas energy and angular momentum are shown to be sinusoidal functions of the winding number.
21 pages, 11 figures. Accepted in PRA
References in corpus (8)
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition
- Dissipation induced coherence and stochastic resonance of an open two-mode Bose-Einstein condensate
- Fractional photon-assisted tunneling for Bose-Einstein condensates in a double well
- Aligned dipolar Bose-Einstein condensate in a double-well potential: From cigar-shaped to pancake-shaped
- Influence of global features of a Bose-Einstein condensate on the vortex velocity
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- Effects of a rotating periodic lattice on coherent quantum states in a ring topology: The case of positive nonlinearity
- Dynamics in multiple-well Bose-Einstein condensates
- Bose-Einstein condensates in rotating ring-shaped lattices: a multimode model
- Blocked populations in ring-shaped optical lattices
- Rotation Sensitive Quench and Revival of Coherent Oscillations in a Ring Lattice
- Entangled Collective Spin States of Two Species Ultracold atoms in a Ring