Two-dimensional composite solitons in a spin-orbit-coupled Fermi gas in free space
arXiv:1811.02718 · doi:10.1016/j.cnsns.2018.10.024
Abstract
We address a possibility of creating soliton states in oblate binary-fermionic clouds in the framework of the density-functional theory, which includes the spin-orbit coupling (SOC) and nonlinear attraction between spin-up and down-polarized components of the spinor wave function. In the limit when the inter-component attraction is much stronger than the effective intra-component Pauli repulsion, the resulting model also represents a system of Gross-Pitaevskii equations for a binary Bose-Einstein condensate including the SOC effect. We show that the model gives rise to two-dimensional quiescent composite solitons in free space. A stability region is identified for solitons of the mixed-mode type (which feature mixtures of zero-vorticity and vortical terms in both components), while solitons of the other type, semi-vortices (with the vorticity carried by one component) are unstable. Due to breaking of the Galilean invariance by SOC, the system supports moving solitons with velocities up to a specific critical value. Collisions between moving solitons are briefly considered too. The collisions lead, in particular, to a quasi-elastic rebound, or an inelastic outcome, which features partial merger of the solitons.
Communications in Nonlinear Science and Numerical Simulation, accepted
References in corpus (28)
- Many-Body Physics with Ultracold Gases
- Theory of ultracold Fermi gases
- Degenerate Quantum Gases with Spin-Orbit Coupling
- A trapped single ion inside a Bose-Einstein condensate
- The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
- Phase diagram of a strongly interacting polarized Fermi gas in one dimension
- An exactly solvable model of the BCS-BEC crossover
- Formation of Quantum Shock Waves by Merging and Splitting Bose-Einstein Condensates
- Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates
- Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting
- Superfluid Bose-Fermi mixture from weak-coupling to unitarity
- Localized modes in quasi-2D Bose-Einstein condensates with spin-orbit and Rabi couplings
- Vortex-bright solitons in a spin-orbit coupled spin- condensate
- Collapse of spin-orbit coupled Bose-Einstein condensates
- Two- and one-dimensional gap solitons in spin-orbit-coupled systems with Zeeman splitting
- Creating solitons by means of spin-orbit coupling
- Highly polarized Fermi gases: One-dimensional case
- Effective Nonlinear Schrödinger Equations for Cigar-Shaped and Disk-Shaped Fermi Superfluids at Unitarity
- One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
- One- and two-dimensional solitons in PT-symmetric systems emulating the spin-orbit coupling
- Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton formation
- Mixing-demixing in a trapped degenerate fermion-fermion mixture
- Miscibility in a degenerate fermionic mixture induced by linear coupling
- Weyl solitons in three-dimensional optical lattices
- Snake instability of dark solitons across the BEC-BCS crossover: an effective field theory perspective
- One- and two-dimensional reductions of the mean-field description of degenerate Fermi gases
- Density fingerprint of giant vortices in Fermi gases near a Feshbach resonance
- Correlations and synchronization in a Bose-Fermi mixture