Stability analysis for solitons in PT-symmetric optical lattices

By Sean D. Nixon, Lijuan Ge, Jianke Yang. 2012

269 citations recorded by the source corpus.

Stability of solitons in parity-time (PT)-symmetric periodic potentials (optical lattices) is analyzed in both one- and two-dimensional systems. First we show analytically that when the strength of the gain-loss component in the PT lattice rises above a certain threshold (phase transition point), an infinite number of linear Bloch bands turn complex simultaneously. Second, we show that while stable families of solitons can exist in PT lattices, increasing the gain-loss component has an overall destabilizing effect on soliton propagation. Specifically, when the gain-loss component increases, the parameter range of stable solitons shrinks as new regions of instability appear. Third, we investigate the nonlinear evolution of unstable PT solitons under perturbations, and show that the energy of perturbed solitons can grow unbounded even though the PT lattice is below the phase transition point.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/437ae6744e44f7295943318cb646e29ee98515cd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Nonlinear waves in PT -symmetric systems (2016, background): “…trans- formation ξ = i √ V0/2 e ix which reduces (145) to the Bessel’s equation, ξ2ψξξ + ξψξ + ( ξ2 − µ− V0/2 ) ψ = 0, (146) whose solution is ψ(x) = Jk(i √ V0/2 e ix), where k = ± √ µ+ V0/2 (Bender, Dunne, and Meisinger, 45 1999; Berry, 1998; Graefe and Jones, 2011; Nixon, Ge, and Yang, 2012).”