Symbiotic solitons in a quasi-one- and quasi-two-dimensional spin-1 condensates

Abstract

We study the formation of spin-1 symbiotic spinor solitons in a quasi-one- (quasi-1D) and quasi-two-dimensional (quasi-2D) hyper-fine spin $F=1$ ferromagnetic Bose-Einstein condensate (BEC). The symbiotic solitons necessarily have a repulsive intraspecies interaction and are bound due to an attractive interspecies interaction. Due to a collapse instability in higher dimensions, an additional spin-orbit coupling is necessary to stabilize a quasi-2D symbiotic spinor soliton. Although a quasi-1D symbiotic soliton has a simple Gaussian-type density distribution, novel spatial periodic structure in density is found in quasi-2D symbiotic SO-coupled spinor solitons. For a weak SO coupling, the quasi-2D solitons are of the $(-1,0,+1)$ or $(+1,0,-1)$ type with intrinsic vorticity and multi-ring structure, for Rashba or Dresselhaus SO coupling, respectively, where the numbers in the parentheses are angular momenta projections in spin components $F_z=+1,0,-1$, respectively. For a strong SO coupling, stripe and superlattice solitons, respectively, with a stripe and square-lattice modulation in density, are found in addition to the multi-ring solitons. The stationary states were obtained by imaginary-time propagation of a mean-field model; dynamical stability of the solitons was established by real-time propagation over a long period of time. The possibility of the creation of such a soliton by removing the trap of a confined spin-1 BEC in a laboratory is also demonstrated.

References in corpus (23)

• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• Transient supersolid properties in an array of dipolar quantum droplets
• Long-lived and transient supersolid behaviors in dipolar quantum gases
• The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
• Excitation spectrum of a trapped dipolar supersolid and its experimental evidence
• Bright solitons in spin-orbit-coupled Bose-Einstein condensates
• C programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
• Generalized Rashba spin-orbit coupling for cold atoms
• Vortex-bright solitons in a spin-orbit coupled spin-$1$ condensate
• Spatial coherence of spin-orbit-coupled Bose gases
• Motion of solitons in one-dimensional spin-orbit-coupled Bose-Einstein condensates
• Solitons in a trapped spin-1 atomic condensate
• Spin-1 spin-orbit- and Rabi-coupled Bose-Einstein condensate solver
• Multi-ring, stripe, and super-lattice solitons in a spin-orbit coupled spin-1 condensate
• Phase Diagram, Stability and Magnetic Properties of Nonlinear Excitations in Spinor Bose-Einstein Condensates
• FORTRESS: FORTRAN programs for solving coupled Gross-Pitaevskii equations for spin-orbit coupled spin-1 Bose-Einstein condensate
• Perturbation theory for bright spinor Bose--Einstein condensate solitons
• Dynamical generation of dark solitons in spin-orbit-coupled Bose-Einstein condensates
• Spontaneous spatial order in two-dimensional ferromagnetic spin-orbit coupled uniform spin-1 condensate solitons
• Supersolid-like states in a two-dimensional trapped spin-orbit-coupled spin-1 condensate

Cited by in corpus (9)

• Spin-orbit-coupled spinor gap solitons in Bose-Einstein condensates
• Stationary and moving bright solitons in Bose-Einstein condensates with spin-orbit coupling in a Zeeman field
• Stability and dynamics across magnetic phases of vortex-bright type excitations in spinor Bose-Einstein condensates
• Emergence of unstable avoided crossing in the collective excitations of spin-1 spin-orbit coupled Bose-Einstein condensates
• Sinusoidal magnetic field induced topological excitations in a spin-orbit coupled spinor condensate
• Quasi-one- and quasi-two-dimensional symbiotic solitons bound by dipolar interaction
• Double unstable avoided crossings and complex domain patterns formation in spin-orbit coupled spin-1 condensates
• Emergence of spin-mixed superstripe phases in spin-orbit coupled spin-1 condensate
• Quasi-two-dimensional soliton in a self-repulsive spin-orbit-coupled dipolar binary condensate