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

TL;DR

This paper analytically investigates the nonlinear behavior of wave packets in PT-symmetric optical lattices near the phase transition, revealing phenomena like blowup, bound states, and solitary waves.

Contribution

It derives a nonlinear Klein-Gordon equation for the wave envelope and demonstrates that known phenomena also occur in the full equation, advancing understanding of nonlinear PT-symmetric systems.

Findings

Existence of wave blowup in the system

Presence of periodic bound states

Formation of solitary wave solutions

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.