PT-Symmetric Wave Chaos

Details PT-Symmetric Wave Chaos PT-Symmetric Wave Chaos

2010-02-18

arxiv.org/abs/1002.3635v1

Phys. Rev. Lett. 104, 054102 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.104.054102

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.

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