Bound states in Bose-Einstein condensates with radially-periodic spin-orbit coupling
arXiv:2307.07845 · doi:10.1016/j.chaos.2023.113848
Abstract
We consider Bose-Einstein condensate (BEC) subject to the action of spin-orbit-coupling (SOC) periodically modulated in the radial direction. In contrast to the commonly known principle that periodic potentials do not create bound states, the binary BEC maintains multiple localized modes in the linear limit, with their chemical potential falling into spectral gaps of the (numerically found) radial band structure induced by the spatial modulation of the SOC. In the presence of the repulsive nonlinearity, the SOC modulation supports fundamental gap solitons of the semi-vortex types, as well as higher-order vortex gap solitons. The localization degree and stability of the gap solitons strongly depend on the location of their chemical potential in the gap. Stability intervals for vortex gap solitons in a broad range of the intrinsic vorticity, from -2 to 3, are identified. Thus, the analysis reveals the previously unexplored mechanism of linear and nonlinear localization provided by the spatially periodic modulation of SOC, which may be extended to other settings, such as those for optical beams and polaritons. Unlike the commonly known quartets of eigenvalues for small perturbations, in the present system the instability is accounted for by shifted complex eigenvalue pairs.
arXiv comment7pages, 4 figures, to be published in Chaos, Solitons & Fractals
References in corpus (29)
- Feshbach Resonances in Ultracold Gases
- A spin-orbit coupled Bose-Einstein condensate
- Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Theory of Nonlinear Matter Waves in Optical Lattices
- Observation of Half Quantum Vortices in an Exciton-Polariton Condensate
- Fundamental and vortex solitons in a two-dimensional optical lattice
- Spatial Solitons in Optically-Induced Gratings
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Multidimensional solitons in periodic potentials
- The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
- Engineering spin-orbit coupling for photons and polaritons in microstructures
- Rotary solitons in Bessel photonic lattices
- Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
- Half-vortices in polariton condensates
- Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting
- Solitons in Bose-Einstein Condensates with Helicoidal Spin-Orbit Coupling
- Matter-wave solitons in radially periodic potentials
- Higher-order vortex solitons, multipoles, and supervortices on a square optical lattice
- Vortex and half-vortex dynamics in a spinor quantum fluid of interacting polaritons
- Realization of a Townes soliton in a two-component planar Bose gas
- Multipole-mode solitons in Bessel optical lattices
- Stabilization of spatiotemporal solitons in Kerr media by dispersive coupling
- Bose-Einstein condensates with localized spin-orbit coupling: soliton complexes and spinor dynamics
- Solitons in inhomogeneous gauge potentials: integrable and nonintegrable dynamics
- Stable nonlinear modes sustained by gauge fields
- Multidimensional hybrid Bose-Einstein condensates stabilized by lower-dimensional spin-orbit coupling
- Two-dimensional composite solitons in Bose-Einstein condensates with spatially confined spin-orbit coupling
- Nonlinear waves of Bose-Einstein condensates in rotating ring lattice potentials