Stationary solitons in F=1 spin-orbit coupled Bose-Einstein condensates

Abstract

We consider solitary wave excitations above the ground state of $F=1$ spin-orbit coupled Bose-Einstein condensates (SOBECs). The low energy properties of SOBECs in any of the three branches of the single particle dispersion relation can be described by suitable scalar nonlinear Schrödinger (NLS) equations which we obtain using multiple-scale expansions. This enables us to examine a variety of different configurations, such as dark solitary waves associated with higher energy branches, as well as dark and bright structures in the lowest branch. The lowest branch can also exhibit a ``superstripe'' phase that supports solitary waves. In all cases, we provide explicit expressions for the NLS coefficients, and confirm their validity with full numerical simulations of the SOBEC system including a harmonic confining potential.

16 figures

References in corpus (6)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Softening of Roton and Phonon Modes in a Bose-Einstein Condensate with Spin-Orbit Coupling
• Vortex-bright solitons in a spin-orbit coupled spin-$1$ condensate
• Beating dark-dark solitons and Zitterbewegung in spin-orbit coupled Bose-Einstein condensates
• Fragmentation of Spin-orbit Coupled Spinor Bose-Einstein Condensates

Cited by in corpus (3)

• Vector rogue waves in spin-1 Bose-Einstein condensates with spin-orbit coupling
• Magnetization induced skyrmion dynamics of a spin-orbit-coupled spinor condensate under sinusoidally varying magnetic field
• Modulation of spin-orbit coupled Bose-Einstein condensates: analytical characterization of acceleration-induced transitions between energy bands