Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase transition point

Abstract

Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase-transition point are analytically studied. A nonlinear Klein-Gordon equation is derived for the envelope of these wave packets. A variety of novel phenomena known to exist in this envelope equation are shown to also exist in the full equation including wave blowup, periodic bound states and solitary wave solutions.

4 pages, 2 figures

References in corpus (3)

• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Stability analysis for solitons in PT-symmetric optical lattices

Cited by in corpus (14)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials
• Partially-PT-symmetric optical potentials with all-real spectra and soliton families in multi-dimensions
• All-real spectra in optical systems with arbitrary gain and loss distributions
• Nonlinear dynamics in PT-symmetric lattices
• Necessity of PT symmetry for soliton families in one-dimensional complex potentials
• Spontaneous symmetry breaking and ghost states supported by the fractional nonlinear Schrödinger equation with focusing saturable nonlinearity and PT-symmetric potential
• Stationary modes and integrals of motion in nonlinear lattices with PT-symmetric linear part
• Nonlinear light behaviors near phase transition in non-parity-time-symmetric complex waveguides
• Nonlinear wave dynamics near phase transition in $\mathcal{P}\mathcal{T}$-symmetric localized potentials
• Light propagation in periodically modulated complex waveguides
• Pyramid diffraction in parity-time-symmetric optical lattices
• Metastable two-component solitons near an exceptional point