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arXiv · 1905.04607

Photon waiting time distributions: a keyhole into dissipative quantum chaos

I. I. Yusipov·O. S. Vershinina·S. V. Denisov·M. V. Ivanchenko
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Abstract

Open quantum systems can exhibit complex states, which classification and quantification is still not well resolved. The Kerr-nonlinear cavity, periodically modulated in time by coherent pumping of the intra-cavity 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 {\it et al.}, Chaos {\bf 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 intra-cavity dynamics.

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I. I. Yusipov, O. S. Vershinina, S. V. Denisov, M. V. Ivanchenko. 2020-01-09. Photon waiting time distributions: a keyhole into dissipative quantum chaos. https://doi.org/10.1063/1.5127936

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