Photon waiting time distributions: a keyhole into dissipative quantum chaos
arXiv:1905.04607 · doi:10.1063/1.5127936
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.
arXiv comment7 pages, 5 figures
References in corpus (28)
- Cavity Optomechanics
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Atomic physics and quantum optics using superconducting circuits
- Quantum trajectories and open many-body quantum systems
- Colloquium: Criticality and dynamical scaling in living systems
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Power laws and Self-Organized Criticality in Theory and Nature
- Scrambling and thermalization in a diffusive quantum many-body system
- Phonon counting and intensity interferometry of a nanomechanical resonator
- Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
- Continuous Quantum Measurement and the Emergence of Classical Chaos
- Single-Shot Quantum Non-Demolition Detection of Itinerant Microwave Photons
- Lyapunov exponent in quantum mechanics. A phase-space approach
- Quantum chaos in open systems: a quantum state diffusion analysis
- Observation of quantum jumps of a single quantum dot spin using sub-microsecond single-shot optical readout
- Asymptotic Floquet states of open quantum systems: The role of interaction
- Nonlinear sigma model approach to many-body quantum chaos: Regularized and unregularized out-of-time-ordered correlators
- Photon Statistics in Collective Strong Coupling: Nano- and Microcavities
- Photon counting statistics of a microwave cavity
- Non-monotonicity in the quantum-classical transition: Chaos induced by quantum effects
- Quantum Interference and Complex Photon Statistics in Waveguide QED
- Quantum bifurcation diagrams
- Lyapunov exponents of quantum trajectories beyond continuous measurements
- Computation of the asymptotic states of modulated open quantum systems with a numerically exact realization of the quantum trajectory method
- Comment on "Non-monotonicity in the Quantum-Classical Transition: Chaos Induced by Quantum Effects"
- Classical counterparts of quantum attractors in generic dissipative systems
- Reply to Comment on "Non-monotonicity in the Quantum-Classical Transition: Chaos Induced by Quantum Effects"
- Real-time monitoring of Lévy flights in a single quantum system