PT-Symmetric Wave Chaos

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 γ_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 γ_PT, and show that chaos assists the exact PT phase. Our results have applications to the design of optical elements with PT symmetry.

4 pages, 2 figures

References in corpus (2)

• Making Sense of Non-Hermitian Hamiltonians
• Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes

Cited by in corpus (4)

• Unidirectional Nonlinear PT-symmetric Optical Structures
• Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
• Wave packet evolution in non-Hermitian quantum systems
• Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems