One- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with fractional kinetic energy
arXiv:2206.00404 · doi:10.1088/1361-6455/ac7685
Abstract
We address effects of spin-orbit coupling (SOC), phenomenologically added to a two-component Bose-Einstein condensate composed of particles moving by Levy flights, in one- and two-dimensional (1D and 2D) settings. The corresponding system of coupled Gross-Pitaevskii equations includes fractional kinetic-energy operators, characterized by the Levy index, α< 2 (the normal kinetic energy corresponds to α= 2). The SOC terms, with strength λ, produce strong effects in the 2D case: they create families of stable solitons of the semi-vortex (SV) and mixed-mode (MM) types in the interval of 1 < α< 2, where the supercritical collapse does not admit the existence of stable solitons in the absence of the SOC. At λ--> 0, amplitudes of these solitons vanish as (λ)^{1/(α- 1)}.
to be published in Journal of Physics B: Atomic, Molecular, and Optical Physics
References in corpus (11)
- Degenerate Quantum Gases with Spin-Orbit Coupling
- The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
- Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting
- Soliton dynamics in a fractional complex Ginzburg-Landau model
- Symmetry classification of spin-orbit coupled spinor Bose-Einstein condensates
- Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension
- Metastable soliton necklaces supported by fractional diffraction and competing nonlinearities
- Stationary States of Trapped Spin-Orbit-Coupled Bose-Einstein Condensates
- Quadratic fractional solitons
- The Two-Dimensional Fractional Discrete Nonlinear Schrodinger Equation
- One- and two-dimensional solitons in PT-symmetric systems emulating the spin-orbit coupling