Beating dark-dark solitons and Zitterbewegung in spin-orbit coupled Bose-Einstein condensates
arXiv:1403.1038 · doi:10.1103/PhysRevA.89.033636
Abstract
We present families of beating dark-dark solitons in spin-orbit (SO) coupled Bose-Einstein condensates. These families consist of solitons residing simultaneously in the two bands of the energy spectrum. The soliton components are characterized by two different spatial and temporal scales, which are identified by a multiscale expansion method. The solitons are "beating" ones, as they perform density oscillations with a characteristic frequency, relevant to Zitterbewegung (ZB). We find that spin oscillations may occur, depending on the parity of each soliton branch, which consequently lead to ZB oscillations of the beating dark solitons. Analytical results are corroborated by numerical simulations, illustrating the robustness of the solitons.
6 pages, 3 figures
References in corpus (9)
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Generation of dark-bright soliton trains in superfluid-superfluid counterflow
- Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
- Zitterbewegung of electronic wave packets in semiconductor nanostructures
- Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates
- Extremal transmission and beating effect of acoustic wave in two-dimensional sonic crystal
- Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes
- Soliton Magnetization Dynamics in Spin-Orbit Coupled Bose-Einstein Condensates
- Line of Dirac monopoles embedded in a Bose-Einstein condensate
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- Domain Walls and Vector Solitons in the Coupled Nonlinear Schrodinger Equation
- Dragging spin-orbit-coupled solitons by a moving optical lattice
- Spin Solitons in Spin-1 Bose-Einstein Condensates