Motion of solitons in one-dimensional spin-orbit-coupled Bose-Einstein condensates

Abstract

Solitons play a fundamental role in dynamics of nonlinear excitations. Here we explore the motion of solitons in one-dimensional uniform Bose-Einstein condensates subjected to a spin-orbit coupling (SOC). We demonstrate that the spin dynamics of solitons is governed by a nonlinear Bloch equation. The spin dynamics influences the orbital motion of the solitons leading to the spin-orbit effects in the dynamics of the macroscopic quantum objects (mean-field solitons). The latter perform oscillations with a frequency determined by the SOC, Raman coupling, and intrinsic nonlinearity. These findings reveal unique features of solitons affected by the SOC, which is confirmed by analytical considerations and numerical simulations of the underlying Gross-Pitaevskii equations.

8 pages, 4figures (including supplementary materials)

References in corpus (24)

• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• Experimental observation of oscillating and interacting matter wave dark solitons
• Collisions of matter-wave solitons
• The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
• Bright solitons in spin-orbit-coupled Bose-Einstein condensates
• BCS-BEC crossover induced by a synthetic non-Abelian gauge field
• Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting
• Localized modes in quasi-2D Bose-Einstein condensates with spin-orbit and Rabi couplings
• Emergent patterns in a spin-orbit coupled spin-2 Bose-Einstein condensate
• Gap Solitons in Spin-Orbit-Coupled Bose-Einstein Condensates in Optical Lattices
• Formation and Transformation of Vector-Solitons in Two-Species Bose-Einstein Condensates with Tunable Interaction
• Controlling phase separation of a two-component Bose-Einstein condensate by confinement
• Soliton Magnetization Dynamics in Spin-Orbit Coupled Bose-Einstein Condensates
• Sum rules, dipole oscillation and spin polarizability of a spin-orbit coupled quantum gas
• Bose-Einstein condensates with localized spin-orbit coupling: soliton complexes and spinor dynamics
• Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates
• Composite localized modes in discretized spin-orbit-coupled Bose-Einstein condensates
• Beating dark-dark solitons and Zitterbewegung in spin-orbit coupled Bose-Einstein condensates
• Formation of solitons in atomic Bose-Einstein condensates by dark-state adiabatic passage
• Edge binding of sine-Gordon solitons in spin-orbit coupled Bose-Einstein condensates

Cited by in corpus (12)

• Spatiotemporal engineering of matter-wave solitons in Bose-Einstein condensates
• Anisotropic semi-vortices in dipolar spinor condensates controlled by Zeeman splitting
• Phase-separation of vector solitons in spin-orbit coupled spin-1 condensates
• Flipping-shuttle oscillations of bright one- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with Rabi mixing
• Bright soliton dynamics in Spin Orbit-Rabi coupled Bose-Einstein condensates
• Tail-free self-accelerating solitons and vortices
• Quenching dynamics of the bright solitons and other localized states in spin-orbit coupled Bose-Einstein condensates
• Symbiotic solitons in a quasi-one- and quasi-two-dimensional spin-1 condensates
• Stable multi-peak vector solitons in spin-orbit coupled spin-1 polar condensates
• Gap and embedded solitons in microwave-coupled binary condensates
• Creating moving gap solitons in spin-orbit-coupled Bose-Einstein condensates
• Dragging spin-orbit-coupled solitons by a moving optical lattice