Stability of solitons in parity-time-symmetric couplers.

  title={Stability of solitons in parity-time-symmetric couplers.},
  author={Rodislav Driben and Boris A. Malomed},
  journal={Optics letters},
  volume={36 22},
Families of analytical solutions are found for symmetric and antisymmetric solitons in a dual-core system with Kerr nonlinearity and parity-time (PT)-balanced gain and loss. The crucial issue is stability of the solitons. A stability region is obtained in an analytical form, and verified by simulations, for the PT-symmetric solitons. For the antisymmetric ones, the stability border is found in a numerical form. Moving solitons of both types collide elastically. The two soliton species merge… 

Figures from this paper

Solitons in a PT-symmetric χ(2) coupler.
It is shown that the gain and loss can stabilize solitons and two types of families of PT-symmetric soliton having equal and different profiles of the fundamental and SHs are presented.
Nonlocal solitons supported by non-parity-time-symmetric complex potentials
We report on the existence and stability of fundamental and out-of-phase dipole solitons in nonlocal focusing Kerr media supported by one-dimensional non-parity-time (PT)-symmetric complex
Solitons in parity-time symmetric potentials with spatially modulated nonlocal nonlinearity.
It is found that the coefficient of the spatially modulated nonlinearity and the degree of the uniform nonlocality can profoundly affect the stability of solitons.
Dynamical control of solitons in a parity-time-symmetric coupler by periodic management
Vector solitons in nonparity-time-symmetric complex potentials.
It is found that vector solitons can be stable below and above the phase transition of the non-PT-symmetric complex potentials.
Stability of Temporal Dark Soliton in PT-Symmetric Nonlinear FiberCouplers in Normal Dispersion Regime
In this paper, we present analytical soliton solutions in a nonlinear PT-symmetric coupler with gain in one fiber and loss in the other one in the normal dispersion regime. As usual, we derive a
Multihump solitons in two-dimensional parity-time-symmetric optical lattices with focusing saturable nonlinearity
AbstractWe study the existence and stability of multihump solitons in two-dimensional (2D) parity-time (PT)-symmetric periodic potentials with focusing saturable nonlinearity. All the humps of these
Nonlocal multihump solitons in parity-time symmetric periodic potentials
We report on the existence and stability of nonlocal multihump gap solitons in one-dimensional parity-time symmetric periodic potentials. They can exist in the first gap in defocusing nonlocal


Stable solitons in two-component active systems.
  • Malomed, Winful
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1996
It is demonstrated that a system of two linearly coupled GL equations with gain and dissipation in one subsystem and pure Dissipation in another produces absolutely stable solitons and their bound states.
Soliton lasers stabilized by coupling to a resonant linear system
Abstract Separation into spectral and nonlinear complex-eigenvalue problems is shown to be an effective and flexible approach to soliton laser models. The simplest such model, a complex
Solitons in regular and random split-step systems
Fundamental properties of solitons in the recently introduced split-step model (SSM) are investigated. The SSM is a system that consists of periodically alternating dispersive and nonlinear segments,
Soliton switching and propagation in nonlinear fiber couplers: analytical results
The propagation and the switching of solitons in nonlinear optical fiber couplers have been investigated with a variational method within the framework of the Lagrangian density formulation. Simple
From one- to two-dimensional solitons in the Ginzburg-Landau model of lasers with frequency-selective feedback.
We use the cubic complex Ginzburg-Landau equation linearly coupled to a dissipative linear equation as a model for lasers with an external frequency-selective feedback. This system may also serve as
Optical Solitons in PT Periodic Potentials
We investigate the effect of nonlinearity on beam dynamics in parity-time (PT) symmetric potentials. We show that a novel class of one- and two-dimensional nonlinear self-trapped modes can exist in
Nonlinearly PT-symmetric systems: Spontaneous symmetry breaking and transmission resonances
We consider a class of $\mathcal{PT}$-symmetric systems which include mutually matched nonlinear loss and gain (in other words, a class of $\mathcal{PT}$-invariant Hamiltonians in which both the
PT-symmetric oligomers: analytical solutions, linear stability, and nonlinear dynamics.
  • K. Li, P. Kevrekidis
  • Mathematics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2011
This work focuses on the case of (few-site) configurations respecting the parity-time (PT) symmetry, i.e., with a spatially odd gain-loss profile, with nontrivial properties in their linear stability and in their nonlinear dynamics.
Solitons in nonlinear lattices
This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodic
Solitons in PT-symmetric nonlinear lattices
The existence of localized modes supported by the $\mathcal{PT}$-symmetric nonlinear lattices is reported. The system considered reveals unusual properties: unlike other typical dissipative systems,