PT-symmetric wave Chaos.

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