Bragg solitons in nonlinear PT-symmetric periodic potentials

Abstract

It is shown that slow Bragg soliton solutions are possible in nonlinear complex parity-time (PT) symmetric periodic structures. Analysis indicates that the PT-symmetric component of the periodic optical refractive index can modify the grating band structure and hence the effective coupling between the forward and backward waves. Starting from a classical modified massive Thirring model, solitary wave solutions are obtained in closed form. The basic properties of these slow solitary waves and their dependence on their respective PT-symmetric gain/loss profile are then explored via numerical simulations.

6 pages, 4 figures, published in Physical Review A

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• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Stability band structure for periodic states in periodic potentials
• Unique multistable states in periodic structures with saturable nonlinearity
• $N$-channel comb filtering and lasing in $\mathcal{P}\mathcal{T}$-symmetric superstructures