Symmetry breaking with opposite stability between bifurcated asymmetric solitons in parity-time-symmetric potentials

Abstract

We report a new type of symmetry-breaking bifurcation of solitons in optical systems with parity-time-symmetric potentials. In this bifurcation, the two bifurcated branches of asymmetric solitons exhibit opposite stability, which contrasts all previous symmetry-breaking bifurcations in conservative and non-conservative systems. We show that this novel symmetry-breaking bifurcation can be exploited to achieve unidirectional propagation of high-intensity light beams in parity-time-symmetric potentials.

arXiv comment5 pages, 5 figures

References in corpus (11)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices
• Spontaneous Symmetry Breaking in Photonic Lattices: Theory and Experiment
• Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials
• Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials
• Stable localized modes in asymmetric waveguides with gain and loss
• Symmetry breaking and multi-hump solitons in inhomogeneous gain landscapes
• Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schroedinger equations

Cited by in corpus (2)

• Symmetry breaking of spatial Kerr solitons in fractional dimension
• Symmetry breaking bifurcations and excitations of solitons in linearly coupled NLS equations with PT-symmetric potentials