Nonlocal gap solitons in PT-symmetric periodic potentials with defocusing nonlinearity

Abstract

Existence and stability of PT-symmetric gap solitons in a periodic structure with defocusing nonlocal nonlinearity are studied both theoretically and numerically. We find that, for any degree of nonlocality, gap solitons are always unstable in the presence of an imaginary potential. The instability manifests itself as a lateral drift of solitons due to an unbalanced particle flux. We also demonstrate that the perturbation growth rate is proportional to the amount of gain (loss), thus predicting the observability of stable gap solitons for small imaginary potentials.

https://journals.aps.org/pra/abstract/10.1103/PhysRevA.89.013812

References in corpus (5)

• Gain-Driven Discrete Breathers in PT-Symmetric Nonlinear Metamaterials
• PT-Symmetric Talbot Effects
• Observation of a gradient catastrophe generating solitons
• Breathers in PT-symmetric optical couplers
• A note on the PT-invariant periodic potential V(x)=4 cos^2 x + 4 i V_0 sin 2x

Cited by in corpus (6)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Solitons and their stability in the nonlocal nonlinear Schroedinger equation with PT-symmetric potentials
• On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT-and non-PT-symmetric potentials
• Impact of near-PT symmetry on exciting solitons and interactions based on a complex Ginzburg-Landau model
• Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrödinger equations