Stability of Quantized Vortices in a Bose-Einstein Condensate Confined in an Optical Lattice
arXiv:0803.3251 · doi:10.1103/PhysRevA.77.053612
Abstract
We investigate the existence and especially the linear stability of single and multiple-charge quantized vortex states of nonlinear Schroedinger equations in the presence of a periodic and a parabolic potential in two spatial dimensions. The study is motivated by the examination of pancake-shaped Bose-Einstein condensates in the presence of magnetic and optical confiement. A two-parameter space of the condensate's chemical potential versus the periodic potential's strength is scanned for both single- and double-quantized vortex states located at a local minimum or a local maximum of the lattice. Triply charged vortices are also briefly discussed. Single-charged vortices are found to be stable for cosinusoidal potentials and unstable for sinusoidal ones above a critical strength. Higher charge vortices are more unstable for both types of potentials and their dynamical evolution leads to breakup into single-charged vortices.
References in corpus (19)
- Vortex formation in a stirred Bose-Einstein condensate
- Vortices in a Bose-Einstein Condensate
- Topological vortex formation in a Bose-Einstein condensate
- Dynamical Instability of a Doubly Quantized Vortex in a Bose-Einstein condensate
- Coherent disintegration and stability of vortices in trapped Bose condensate
- Splitting Instability of a Multiply Charged Vortex in a Bose-Einstein Condensate
- Matter-wave gap vortices in optical lattices
- Vortices in Bose-Einstein Condensates: Some Recent Developments
- Splitting of a doubly quantized vortex through intertwining in Bose-Einstein condensates
- Higher-order vortex solitons, multipoles, and supervortices on a square optical lattice
- Vortices and Ring Solitons in Bose-Einstein Condensates
- Controlled vortex-sound interactions in atomic Bose-Einstein condensates
- Stability of multiquantum vortices in dilute Bose-Einstein condensates
- Dynamically stable multiply quantized vortices in dilute Bose-Einstein condensates
- Stability and Decay Rates of Non-Isotropic Attractive Bose-Einstein Condensates
- Dynamical stability of a doubly quantized vortex in a three-dimensional condensate
- Vortices in a Bose-Einstein condensate confined by an optical lattice
- Split-merge cycle, fragmented collapse, and vortex disintegration in rotating Bose-Einstein condensates with attractive interactions
- Stability of small amplitude normal modes of a Bose-Einstein condensate with a singly quantized vortex confined in an optical lattice
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- Heating up quadruply quantized vortices: Splitting patterns and dynamical transitions
- Splitting of doubly quantized vortices in holographic superfluid of finite temperature
- Dynamic and Energetic Stabilization of Persistent Currents in Bose-Einstein Condensates
- Geometric stabilization of extended S=2 vortices in two-dimensional photonic lattices: theoretical analysis, numerical computation and experimental results
- Structure and stability of two-dimensional Bose-Einstein condensates under both harmonic and lattice confinement
- Symmetry breaking in binary chain with nonlinear sites
- Quenched dynamics of two-dimensional solitons and vortices in the Gross-Pitaevskii equation
- The synthetic gauge field and exotic vortex phase with spin-orbital-angular-momentum coupling