Two-dimensional composite solitons in Bose-Einstein condensates with spatially confined spin-orbit coupling
arXiv:1806.04868 · doi:10.1016/j.cnsns.2019.01.031
Abstract
It was recently found that the spin-orbit (SO) coupling can help to create stable matter-wave solitons in spinor Bose-Einstein condensates in the two-dimensional (2D) free space. Being induced by external laser illumination, the effective SO coupling can be applied too in a spatially confined area. Using numerical methods and the variational approximation (VA), we build families of 2D solitons of the semi-vortex (SV) and mixed-mode (MM) types, and explore their stability, assuming that the SO-coupling strength is confined in the radial direction as a Gaussian. The most essential result is identification, by means of the VA and numerical methods, of the minimum size of the spatial confinement for which the 2D system maintains stable solitons of the SV and MM types.
arXiv comment9 pages, 6 figures, and 61 references, Commun Nonlinear Sci Numer Simulat 73 481 (2019)
References in corpus (45)
- A spin-orbit coupled Bose-Einstein condensate
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Light-induced gauge fields for ultracold atoms
- Spin-orbit coupling in quantum gases
- Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
- Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Observation of quantum droplets in a strongly dipolar Bose gas
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Self-bound quantum droplets in atomic mixtures
- Self-bound droplets of a dilute magnetic quantum liquid
- Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid
- Ultradilute low-dimensional liquids
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Experimental realization of a two-dimensional synthetic spin-orbit coupling in ultracold Fermi gases
- Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
- Two-dimensional bright solitons in dipolar Bose-Einstein condensates
- Realistic Rashba and Dressehaus spin-orbit coupling for neutral atoms
- The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
- Anisotropic solitons in dipolar Bose-Einstein Condensates
- Two-dimensional vortex quantum droplets
- Synthetic 3D Spin-Orbit Coupling
- Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
- Three-dimensional droplets of swirling superfluids
- Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates
- Rydberg-induced Solitons: Three-dimensional Self-trapping of Matter Waves
- Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting
- Two-dimensional solitons in dipolar Bose-Einstein condensates with spin-orbit coupling
- Two-dimensional dipolar gap solitons in free space with spin-orbit coupling
- Collapse of spin-orbit coupled Bose-Einstein condensates
- Two- and one-dimensional gap solitons in spin-orbit-coupled systems with Zeeman splitting
- Stable giant vortex annuli in microwave-coupled atomic condensates
- Stabilization of spatiotemporal solitons in Kerr media by dispersive coupling
- Bose-Einstein condensates with localized spin-orbit coupling: soliton complexes and spinor dynamics
- Spin-orbit coupling induced quantum droplet in ultracold Bose-Fermi mixtures
- Bright solitons in a 2D spin-orbit-coupled dipolar Bose-Einstein condensate
- Anisotropic semi-vortices in dipolar spinor condensates controlled by Zeeman splitting
- Excited states of two-dimensional solitons supported by the spin-orbit coupling and field-induced dipole-dipole repulsion
- Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity
- One- and two-dimensional solitons in PT-symmetric systems emulating the spin-orbit coupling
- Bright solitons in ultracold atoms
- Tail-free self-accelerating solitons and vortices
- A magic tilt angle for stabilizing two-dimensional solitons by dipole-dipole interactions
- Spatiotemporal solitary modes in a twisted cylinder waveguide pipe with the self-focusing Kerr nonlinearity
Cited by in corpus (6)
- Stable two-dimensional soliton complexes in Bose-Einstein condensates with helicoidal spin-orbit coupling
- Symmetry breaking of a matter-wave soliton in a double-well potential formed by spatially confined spin-orbit coupling
- Stable multi-peak vector solitons in spin-orbit coupled spin-1 polar condensates
- Holding and transferring matter-wave solitons against gravity by spin-orbit-coupling tweezers
- Bound states in Bose-Einstein condensates with radially-periodic spin-orbit coupling
- Nonlinear modes in spatially confined spin-orbit-coupled Bose-Einstein condensates with repulsive nonlinearity