Classical and Quantum Chaos in Chirally-Driven, Dissipative Bose-Hubbard Systems
arXiv:2105.10953 · doi:10.1038/s41534-022-00518-2
Abstract
We study the dissipative Bose-Hubbard model on a small ring of sites in the presence of a chiral drive and explore its long-time dynamical structure using the mean field equations and by simulating the quantum master equation. Remarkably, for large enough drivings, we find that the system admits, in a wide range of parameters, a chaotic attractor at the mean-field level, which manifests as a complex Wigner function on the quantum level. The latter is shown to have the largest weight around the approximate region of phase space occupied by the chaotic attractor. We demonstrate that this behavior could be revealed via measurement of various bosonic correlation functions. In particular, we employ open system methods to calculate the out-of-time-ordered correlator, whose exponential growth signifies a positive quantum Lyapunov exponent in our system. This can open a pathway to the study of chaotic dynamics in interacting systems of photons.
References in corpus (23)
- Double-slit photoelectron interference in strong-field ionization of the neon dimer
- Topological Photonics
- A bound on chaos
- Quantum fluids of light
- Observation of Superfluidity of Polaritons in Semiconductor Microcavities
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Observing single quantum trajectories of a superconducting qubit
- Macroscopic quantum self-trapping and Josephson oscillations of exciton-polaritons
- Circuit QED lattices: towards quantum simulation with superconducting circuits
- Out-of-time-order correlators in quantum mechanics
- Engineering spin-orbit coupling for photons and polaritons in microstructures
- Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
- Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
- Signatures of a dissipative phase transition in photon correlation measurements
- Orbital angular momentum exchange in an optical parametric oscillator
- Driven Bose-Hubbard dimer under nonlocal dissipation: A bistable time crystal
- Parametric instability in coupled nonlinear microcavities
- Towards spin turbulence of light: Spontaneous disorder and chaos in cavity-polariton systems
- Out-of-time-ordered correlation functions in open systems: A Feynman-Vernon influence functional approach
- Autonomous chaos of exciton-polariton condensates
- Fingerprint of chaos and quantum scars in kicked Dicke model: An out-of-time-order correlator study
- Orbital angular momentum bistability in a microlaser
- Bistability in the dissipative quantum systems I: Damped and driven nonlinear oscillator
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- Bloch theorem dictated wave chaos in microcavity crystals
- Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
- Dissipative chaos and steady state of open Tavis-Cummings dimer
- Transient and steady-state chaos in dissipative quantum systems
- Chaos and anomalous transport in a semiclassical Bose-Hubbard chain
- Chaos in Time: A Dissipative Continuous Quasi Time Crystals
- Chaos and quantum regimes in -photon driven, dissipative bosonic chains