PT-Symmetric Wave Chaos
Disordered Systems and Neural Networks
2010-02-22 v1 Mesoscale and Nanoscale Physics
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.
Keywords
Cite
@article{arxiv.1002.3635,
title = {PT-Symmetric Wave Chaos},
author = {Carl T. West and Tsampikos Kottos and Tomaz Prosen},
journal= {arXiv preprint arXiv:1002.3635},
year = {2010}
}
Comments
4 pages, 2 figures