Open quantum systems can exhibit complex states, for which classification and quantification are still not well resolved. The Kerr-nonlinear cavity, periodically modulated in time by coherent pumping of the intracavity photonic mode, is one of the examples. Unraveling the corresponding Markovian master equation into an ensemble of quantum trajectories and employing the recently proposed calculation of quantum Lyapunov exponents [I. I. Yusipov et al., Chaos 29, 063130 (2019)], we identify "chaotic" and "regular" regimes there. In particular, we show that chaotic regimes manifest an intermediate power-law asymptotics in the distribution of photon waiting times. This distribution can be retrieved by monitoring photon emission with a single-photon detector so that chaotic and regular states can be discriminated without disturbing the intracavity dynamics.

中文翻译：

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光子等待时间分布：耗散量子混沌的钥匙孔。

开放式量子系统可能会表现出复杂的状态，对其分类和定量仍然无法很好地解决。通过腔内光子模式的相干泵浦在时间上周期性地调制的Kerr非线性腔是示例之一。将相应的马尔可夫主方程分解为量子轨迹的集合，并采用最近提出的量子Lyapunov指数计算方法[II Yusipov等，Chaos 29，063130（2019）]，我们在此确定了“混沌”和“规则”状态。特别是，我们表明混沌体制在光子等待时间的分布中表现出中间幂律渐近性。