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.

published in PRA

References in corpus (15)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• 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
• Dicke-type phase transition in a spin-orbit coupled Bose-Einstein condensate
• Bifurcations and stability of gap solitons in periodic potentials
• Spin-orbit coupled Bose-Einstein condensates in a one-dimensional optical lattice
• Softening of Roton and Phonon Modes in a Bose-Einstein Condensate with Spin-Orbit Coupling
• Measurement of collective excitations in a spin-orbit-coupled Bose-Einstein condensate
• Bose-Einstein Condensates in Spin-Orbit Coupled Optical Lattices: Flat Bands and Superfluidity
• Soliton Magnetization Dynamics in Spin-Orbit Coupled Bose-Einstein Condensates
• Localization of a spin-orbit coupled Bose-Einstein condensate in a bichromatic optical lattice
• Solitary wave in the Nonlinear Dirac Equation with arbitrary nonlinearity
• Optical gap solitons and truncated nonlinear Bloch waves in temporal lattices
• Superfluid Breakdown and Multiple Roton Gaps in Spin-Orbit Coupled Bose-Einstein Condensates on an Optical Lattice

Cited by in corpus (17)

• 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
• Tunable spin-orbit coupled Bose-Einstein condensates in deep optical lattices
• Stable nonlinear modes sustained by gauge fields
• 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
• Bound States in the Continuum in Spin-Orbit Coupled Atomic Systems
• Quenching dynamics of the bright solitons and other localized states in spin-orbit coupled Bose-Einstein condensates
• 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
• Polariton gap and gap-stripe solitons in Zeeman lattices
• Transfer of solitons and half-vortex solitons via adiabatic passage
• Creating moving gap solitons in spin-orbit-coupled Bose-Einstein condensates
• Dragging spin-orbit-coupled solitons by a moving optical lattice
• Quantized transport of solitons in Bose-Einstein condensates driven by spin-orbit coupling