Vortex lattice solutions to the Gross-Pitaevskii equation with spin-orbit coupling in optical lattices
arXiv:1301.3565 · doi:10.1103/PhysRevA.87.015602
Abstract
Effective spin-orbit coupling can be created in cold atom systems using atom-light interaction. We study the BECs in an optical lattice using the Gross-Pitaevskii equation with spin-orbit coupling. Bloch states for the linear equation are numerically obtained, and compared with stationary solutions to the Gross-Pitaevskii equation with nonlinear terms. Various vortex lattice states are found when the spin-orbit coupling is strong.
6 pages, 5 figures
References in corpus (4)
Cited by in corpus (37)
- The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
- Vortex solitons: Old results and new perspectives
- Gap solitons in the spin-orbit coupled Bose-Einstein condensates
- Multidimensional solitons: Well-established results and novel findings
- Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting
- Localized modes in dense repulsive and attractive Bose-Einstein condensates with spin-orbit and Rabi couplings
- Localized modes in quasi-2D Bose-Einstein condensates with spin-orbit and Rabi couplings
- Two-dimensional solitons in dipolar Bose-Einstein condensates with spin-orbit coupling
- Two- and one-dimensional gap solitons in spin-orbit-coupled systems with Zeeman splitting
- Modulational instability in binary spin-orbit-coupled Bose-Einstein condensates
- Bose-Einstein condensates with localized spin-orbit coupling: soliton complexes and spinor dynamics
- Nonlinear modes in binary bosonic condensates with the pseudo-spin-orbital coupling
- Creating solitons by means of spin-orbit coupling
- Vortex lattices in binary Bose-Einstein condensates with dipole-dipole interactions
- Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity
- Composite localized modes in discretized spin-orbit-coupled Bose-Einstein condensates
- Spin-orbit coupled soliton in a random potential
- Flipping-shuttle oscillations of bright one- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with Rabi mixing
- One- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with fractional kinetic energy
- Optical-lattice-assisted magnetic phase transition in a spin-orbit-coupled Bose-Einstein condensate
- Suppression of the quantum collapse in binary bosonic gases
- Superfluid-Mott insulator transition in spin-orbit coupled Bose-Hubbard Model
- Bessel Vortices in Spin-Orbit-Coupled Binary Bose-Einstein Condensates with Zeeman Splitting
- Quantum phases and collective excitations of a spin-orbit-coupled Bose-Einstein condensate in a one-dimensional optical lattice
- Polarization of a quasi two-dimensional repulsive Fermi gas with Rashba spin-orbit coupling: a variational study
- Gap and embedded solitons in microwave-coupled binary condensates
- Harmonically trapped attractive and repulsive spin-orbit and Rabi coupled Bose-Einstein condensates
- Energy-level inversion for vortex states in spin-orbit coupled Bose-Einstein condensates
- Tunable energy-level inversion in spin-orbit-coupled Bose-Einstein condensates
- Matter-waves in Bose-Einstein condensates with spin-orbit and Rabi couplings
- Bessel Vortices in Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates
- Two-dimensional quasi-ideal Fermi gas with Rashba spin-orbit coupling
- Spontaneous symmetry breaking of dual-layer solitons in spin-orbit-coupled Bose-Einstein condensates
- Dragging spin-orbit-coupled solitons by a moving optical lattice
- Dynamical spin properties of confined Fermi and Bose systems in presence of spin-orbit coupling
- Nonlinear management of topological solitons in a spin-orbit-coupled system
- Half-vortex soliton lattices in spin-orbit-coupled Bose-Einstein condensates with a quasi-flat band