Gap Solitons in Spin-Orbit-Coupled Bose-Einstein Condensates in Optical Lattices

Abstract

While different ways to realize spin-orbit coupling in Bose-Einstein condensates exist, not all are currently experimentally implementable. Here we present a detailed study of gap solitons in a Bose- Einstein condensate with experimentally realizable spin-orbit coupling and discuss two cases relating to a spin-dependent parity symmetry. In the parity symmetric case, two families of fundamental gap solitons in second linear energy gap are demonstrated with opposite sign of the parity, with one family having single humped densities and the other double humped ones. In the case of broken parity symmetry, the fundamental modes manifest spin-polarization. Both families possess an opposite sign of the spin-polarization.

arXiv commentpublished in PRA

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Cited by in corpus (29)

• Solitons in Bose-Einstein Condensates with Helicoidal Spin-Orbit Coupling
• Stable multi-ring and rotating solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates with a radially-periodic potential
• Motion of solitons in one-dimensional spin-orbit-coupled Bose-Einstein condensates
• Modulational instability in binary spin-orbit-coupled Bose-Einstein condensates
• Bright solitons in a 2D spin-orbit-coupled dipolar Bose-Einstein condensate
• Tunable spin-orbit coupled Bose-Einstein condensates in deep optical lattices
• Stable nonlinear modes sustained by gauge fields
• Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity
• Bright solitons in a spin-tensor-momentum-coupled Bose-Einstein condensate
• Flipping-shuttle oscillations of bright one- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with Rabi mixing
• Quasi-one-dimensional spin-orbit- and Rabi-coupled bright dipolar Bose-Einstein-condensate solitons
• Spin-orbit-coupled Bose-Einstein-condensed atoms confined in annular potentials
• Spin-orbit-coupled spinor gap solitons in Bose-Einstein condensates
• Bound States in the Continuum in Spin-Orbit Coupled Atomic Systems
• Dipolar matter-wave solitons in two-dimensional anisotropic discrete lattices
• Quenching dynamics of the bright solitons and other localized states in spin-orbit coupled Bose-Einstein condensates
• Optical-lattice-assisted magnetic phase transition in a spin-orbit-coupled Bose-Einstein condensate
• Thouless pumping and trapping of two-component gap solitons
• Quantum phases and collective excitations of a spin-orbit-coupled Bose-Einstein condensate in a one-dimensional optical lattice
• Holding and transferring matter-wave solitons against gravity by spin-orbit-coupling tweezers
• Topological defects of spin-orbit coupled Bose-Einstein condensates in a rotating anharmonic trap
• Wannier solitons in spin-orbit-coupled Bose-Einstein condensates in optical lattices with a flat-band
• Polariton gap and gap-stripe solitons in Zeeman lattices
• Transfer of solitons and half-vortex solitons via adiabatic passage
• Loading ultracold atoms onto nonlinear Bloch states and soliton states in bichromatic lattices
• Creating moving gap solitons in spin-orbit-coupled Bose-Einstein condensates
• Dragging spin-orbit-coupled solitons by a moving optical lattice
• Stability band structure for periodic states in periodic potentials
• Quantized transport of solitons in Bose-Einstein condensates driven by spin-orbit coupling