PT-symmetric wave Chaos.
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.
West
Carl T
CT
Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA.
Kottos
Tsampikos
T
Prosen
Tomaz
T