One- and two-dimensional solitons in PT-symmetric systems emulating the spin-orbit coupling

Abstract

We introduce a two-dimensional (2D) system, which can be implemented in dual-core planar optical couplers with the Kerr nonlinearity in its cores, making it possible to blend effects of the PT symmetry, represented by the balanced linear gain and loss in the two cores, and spin-orbit coupling (SOC), emulated by a spatially biased coupling between the cores. Families of 1D and 2D solitons and their stability boundaries are identified. In the 1D setting, the addition of the SOC terms leads, at first, to shrinkage of the stability area for PT-symmetric solitons, which is followed by its rapid expansion. 2D solitons have their stability region too, in spite of the simultaneous action of two major destabilizing factors, viz., the collapse driven by the Kerr nonlinearity, and a trend towards spontaneous breakup of the gain-loss balance. In the limit of the SOC terms dominating over the intrinsic diffraction, the 1D system gives rise to a new model for gap solitons, which admits exact analytical solutions.

arXiv commentNew Journal of Physics, to be published (in a special issue "Focus on Parity-Time Symmetry in Optics and Photonics")

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Cited by in corpus (19)

• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Two-dimensional dipolar gap solitons in free space with spin-orbit coupling
• Two- and one-dimensional gap solitons in spin-orbit-coupled systems with Zeeman splitting
• Excited states of two-dimensional solitons supported by the spin-orbit coupling and field-induced dipole-dipole repulsion
• Flipping-shuttle oscillations of bright one- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with Rabi mixing
• Two-dimensional composite solitons in Bose-Einstein condensates with spatially confined spin-orbit coupling
• Spinor solitons and their $\mathcal{P}\mathcal{T}$-symmetric offspring
• One- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with fractional kinetic energy
• Symmetry breaking of a matter-wave soliton in a double-well potential formed by spatially confined spin-orbit coupling
• Stabilization of one-dimensional Townes solitons by spin-orbit coupling in a dual-core system
• Spatiotemporal solitary modes in a twisted cylinder waveguide pipe with the self-focusing Kerr nonlinearity
• Solitons in $\mathcal{P}\mathcal{T}$-symmetric systems with spin-orbit coupling and critical nonlinearity
• $CPT$-symmetric coupler with intermodal dispersion
• Solitons in a chain of charge-parity-symmetric dimers
• Two-dimensional composite solitons in a spin-orbit-coupled Fermi gas in free space
• Imaginary spin-orbital coupling in parity-time symmetric systems with momentum-dependent gain and loss
• Dragging spin-orbit-coupled solitons by a moving optical lattice
• PT-symmetric and antisymmetric nonlinear states in a split potential box
• Soliton dynamics and stability in the ABS spinor model with a PT-symmetric periodic potential