title: Statistics of chaotic resonances in an optical microcavity.
abstract: Distributions of eigenmodes are widely concerned in both bounded and open systems. In the realm of chaos, counting resonances can characterize the underlying dynamics (regular vs chaotic), and is often instrumental to identify classical-to-quantum correspondence. Here, we study, both theoretically and experimentally, the statistics of chaotic resonances in an optical microcavity with a mixed phase space of both regular and chaotic dynamics. Information on the number of chaotic modes is extracted by counting regular modes, which couple to the former via dynamical tunneling. The experimental data are in agreement with a known semiclassical prediction for the dependence of the number of chaotic resonances on the number of open channels, while they deviate significantly from a purely random-matrix-theory-based treatment, in general. We ascribe this result to the ballistic decay of the rays, which occurs within Ehrenfest time, and importantly, within the time scale of transient chaos. The present approach may provide a general tool for the statistical analysis of chaotic resonances in open systems.
authors.affiliation: State Key Laboratory for Mesoscopic Physics and School of Physics, Peking University; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.
authors.forename: Li
authors.initials: L
authors.lastname: Wang
authors.affiliation: Institute for Advanced Study, Tsinghua University, Beijing 100084, China.|Faculty of Science, Jiangsu University, Zhenjiang 212013, China.
authors.forename: Domenico
authors.initials: D
authors.lastname: Lippolis
authors.affiliation: State Key Laboratory for Mesoscopic Physics and School of Physics, Peking University; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.
authors.forename: Ze-Yang
authors.initials: ZY
authors.lastname: Li
authors.affiliation: State Key Laboratory for Mesoscopic Physics and School of Physics, Peking University; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.
authors.forename: Xue-Feng
authors.initials: XF
authors.lastname: Jiang
authors.affiliation: State Key Laboratory for Mesoscopic Physics and School of Physics, Peking University; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.
authors.forename: Qihuang
authors.initials: Q
authors.lastname: Gong
authors.affiliation: State Key Laboratory for Mesoscopic Physics and School of Physics, Peking University; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.
authors.forename: Yun-Feng
authors.initials: YF
authors.lastname: Xiao