Stationary and moving bright solitons in Bose-Einstein condensates with spin-orbit coupling in a Zeeman field

Abstract

With the discovery of various matter wave solitons in spin-orbit-coupled Bose-Einstein condensates (BECs), exploring their properties has become increasingly significant. We mainly study stationary and moving bright solitons in spin-orbit-coupled spin-1 BECs with or without a Zeeman field. The bright solitons correspond to the plane wave (PW) and standing wave (SW) phases. With the assistance of single-particle energy spectrum, we obtain the existence domains of PW and SW solitons by analytical and numerical methods. The results indicate that the interaction between atoms is also a key factor determining the existence of solitons. In addition, we systematically discuss the stability domains of PW and SW solitons, and investigate the impact of different parameters on the stability domains. We find that PW solitons are unstable when the linear Zeeman effect reaches a certain threshold, and the threshold is determined by other parameters. The linear Zeeman effect also leads to the alternating distribution of stable and unstable areas of SW solitons, and makes SW solitons stably exist in the area with stronger ferromagnetism. Finally, we analyze the collision dynamics of different types of stable solitons.

21 pages, 11 figures

References in corpus (20)

• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• Bright solitons in spin-orbit-coupled Bose-Einstein 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
• Nonlinear Thouless pumping: solitons and transport breakdown
• Sagnac Interferometry Using Bright Matter-Wave Solitons
• Vortex-bright solitons in a spin-orbit coupled spin-$1$ condensate
• Bloch Oscillations in Optical and Zeeman Lattices in the Presence of Spin-Orbit Coupling
• Motion of solitons in one-dimensional spin-orbit-coupled Bose-Einstein condensates
• Bose-Einstein condensates with localized spin-orbit coupling: soliton complexes and spinor dynamics
• Quantum solitons in spin-orbit-coupled Bose-Bose mixtures
• Striped Ferronematic ground states in a spin-orbit coupled $S=1$ Bose gas
• Solitons in inhomogeneous gauge potentials: integrable and nonintegrable dynamics
• Multi-ring, stripe, and super-lattice solitons in a spin-orbit coupled spin-1 condensate
• Phase-separation of vector solitons in spin-orbit coupled spin-1 condensates
• Multidimensional hybrid Bose-Einstein condensates stabilized by lower-dimensional spin-orbit coupling
• Elementary excitations in a spin-orbit-coupled spin-1 Bose-Einstein condensate
• Symbiotic solitons in a quasi-one- and quasi-two-dimensional spin-1 condensates
• Soliton collisions in Bose-Einstein condensates with current-dependent interactions

Cited by in corpus (3)

• Emergence of unstable avoided crossing in the collective excitations of spin-1 spin-orbit coupled Bose-Einstein condensates
• Vector rogue waves in spin-1 Bose-Einstein condensates with spin-orbit coupling
• Double unstable avoided crossings and complex domain patterns formation in spin-orbit coupled spin-1 condensates