Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials

Abstract

Symmetry breaking of solitons in a class of one-dimensional parity-time (PT) symmetric complex potentials with cubic nonlinearity is reported. In generic PT-symmetric potentials, such symmetry breaking is forbidden. However, in a special class of PT-symmetric potentials $V(x)=g^2(x)+\alpha g(x)+i{g}^{\prime }(x)$, where $g(x)$ is a real and even function and $\alpha$ a real constant, symmetry breaking of solitons can occur. That is, a branch of non-PT-symmetric solitons can bifurcate out from the base branch of PT-symmetric solitons when the base branch's power reaches a certain threshold. At the bifurcation point, the base branch changes stability, and the bifurcated branch can be stable.

5 pages, 4 figures

References in corpus (5)

• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Solitons in PT-symmetric nonlinear lattices
• Breathers in PT-symmetric optical couplers
• Stable localized modes in asymmetric waveguides with gain and loss
• Discrete solitons in PT-symmetric lattices

Cited by in corpus (15)

• Solving forward and inverse problems of the logarithmic nonlinear Schrodinger equation with PT-symmetric harmonic potential via deep learning
• Symmetry breaking of spatial Kerr solitons in fractional dimension
• Symmetry breaking of solitons in two-dimensional complex potentials
• Discrete solitons and vortices on two-dimensional lattices of $\mathcal{P}\mathcal{T}$-symmetric couplers
• Spontaneous symmetry breaking and ghost states supported by the fractional nonlinear Schrödinger equation with focusing saturable nonlinearity and PT-symmetric potential
• Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
• Attraction centers and PT-symmetric delta-functional dipoles in critical and supercritical self-focusing media
• Dissipative optical solitons in asymmetric Rosen-Morse potential
• Symmetry breaking with opposite stability between bifurcated asymmetric solitons in parity-time-symmetric potentials
• Dynamical control of solitons in a parity-time-symmetric coupler by periodic management
• Stabilization of self-steepening optical solitons in a periodic PT-symmetric potential
• Response of exact solutions of the nonlinear Schrodinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry
• Stability restoration by asymmetric nonlinear states in non-Hermitian double-well potentials
• Nonlinear Schrödinger equations with amplitude-dependent Wadati potentials
• A systematic construction of parity-time ($\mathcal{P}\mathcal{T}$)-symmetric and non-$\mathcal{P}\mathcal{T}$-symmetric complex potentials from the solutions of various real nonlinear evolution equations