PT-对称波混沌
PT-Symmetric Wave Chaos
摘要：
我们研究了一类新的混沌系统的动态本地化，增益或损失机制打破厄米性，同时允许宇称时间（PT）对称性。对于增益或损耗参数的值γ_PT，频谱经历从实值（精确相位）到复值（破缺相位）的自发相变。我们发展了γ_PT的单参数标度理论，并证明了混沌辅助精确的PT相。我们的结果具有应用程序的PT对称性的光学元件的设计。
英文摘要：
We study a new class of chaotic systems with dynamical localization, where gain or loss mechanisms break the Hermiticity, while allowing for parity-time (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.
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