Solitons in Bose-Einstein Condensates with Helicoidal Spin-Orbit Coupling

Abstract

We report on the existence and stability of freely moving solitons in a spatially inhomogeneous Bose- Einstein condensate with helicoidal spin-orbit (SO) coupling. In spite of the periodically varying parameters, the system allows for the existence of stable propagating solitons. Such states are found in the rotating frame, where the helicoidal SO coupling is reduced to a homogeneous one. In the absence of the Zeeman splitting, the coupled Gross-Pitaevskii equations describing localized states feature many properties of the integrable systems. In particular, four-parametric families of solitons can be obtained in the exact form. Such solitons interact elastically. Zeeman splitting still allows for the existence of two families of moving solitons, but makes collisions of solitons inelastic.

6 pages

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Cited by in corpus (30)

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• Stable nonlinear modes sustained by gauge fields
• Solitons in inhomogeneous gauge potentials: integrable and nonintegrable dynamics
• Creating solitons with controllable and near zero velocity in Bose-Einstein condensates
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• FORTRESS: FORTRAN programs for solving coupled Gross-Pitaevskii equations for spin-orbit coupled spin-1 Bose-Einstein condensate
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• Chiral solitons in a non-linear model of helical molecules
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• Stationary and moving bright solitons in Bose-Einstein condensates with spin-orbit coupling in a Zeeman field
• Chiral excitations of magnetic droplet solitons driven by their own inertia
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• Influence of Rashba spin-orbit and Rabi couplings on the miscibility and ground state phases of binary Bose-Einstein condensates
• Gap and embedded solitons in microwave-coupled binary condensates
• Topological defects of spin-orbit coupled Bose-Einstein condensates in a rotating anharmonic trap
• Propagating magnetic droplet solitons as moveable nanoscale spin-wave sources with tunable direction of emission
• Topological defects in rotating spin-orbit-coupled dipolar spin-1 Bose-Einstein condensates
• Creating moving gap solitons in spin-orbit-coupled Bose-Einstein condensates
• Dragging spin-orbit-coupled solitons by a moving optical lattice
• Vortex phases and domain walls in trapped spinor Bose-Einstein condensates with inhomogeneous spin-orbital-angular-momentum coupling
• Quantized transport of solitons in Bose-Einstein condensates driven by spin-orbit coupling