PT-Symmetric Wave Chaos

TL;DR

This paper explores PT-symmetric chaotic systems with dynamical localization, analyzing the phase transition from real to complex spectra and demonstrating how chaos influences the PT symmetry phase, with implications for optical device design.

Contribution

It introduces a one-parameter scaling theory for PT symmetry breaking in chaotic systems and shows how chaos supports the exact PT phase.

Findings

Spectrum transitions from real to complex at b3_PT

Chaos enhances the stability of the exact PT phase

Applications in designing optical elements with PT symmetry

Abstract

We study a new class of chaotic systems with dynamical localization, where gain or loss mechanisms break the Hermiticity, while allowing for parity-time (PT) symmetry. For a value \gamma_PT of the gain or loss parameter the spectrum undergoes a spontaneous phase transition from real (exact phase) to complex values (broken phase). We develop a one parameter scaling theory for \gamma_PT, and show that chaos assists the exact PT phase. Our results have applications to the design of optical elements with PT symmetry.