Dissipative chaos and steady state of open Tavis-Cummings dimer
arXiv:2407.00776 · doi:10.1103/PhysRevE.111.L052204
Abstract
We consider a coupled atom-photon system described by the Tavis-Cummings dimer (two coupled cavities) in the presence of photon loss and atomic pumping, to investigate the quantum signature of dissipative chaos. The appropriate classical limit of the model allows us to obtain a phase diagram identifying different dynamical phases, especially the onset of chaos. Both classically and quantum mechanically, we demonstrate the emergence of a steady state in the chaotic regime and analyze its properties. The interplay between quantum fluctuation and chaos leads to enhanced mixing dynamics and dephasing, resulting in the formation of an incoherent photonic fluid. The steady state exhibits an intriguing phenomenon of subsystem thermalization even outside the chaotic regime; however, its effective temperature increases with the degree of chaos. Moreover, the statistical properties of the steady state show a close connection with the random matrix theory. Finally, we discuss the experimental relevance of our findings, which can be tested in cavity and circuit quantum electrodynamics setups.
References in corpus (83)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Quantum fluids of light
- Circuit Quantum Electrodynamics
- Cold atoms in cavity-generated dynamical optical potentials
- Phase space representation of quantum dynamics
- Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
- Supersolid formation in a quantum gas breaking continuous translational symmetry
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Dynamical phase transition in the open Dicke model
- Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
- Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
- Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
- Does a single eigenstate encode the full Hamiltonian?
- Engineered Dissipation for Quantum Information Science
- Simulation methods for open quantum many-body systems
- Variational neural network ansatz for steady states in open quantum systems
- Non-equilibrium steady-states in a driven-dissipative superfluid
- Exploring dynamical phase transitions with cold atoms in an optical cavity
- Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas
- Many-Body Quantum Spin Dynamics with Monte Carlo Trajectories on a Discrete Phase Space
- Entanglement as a signature of quantum chaos
- Realization of the Dicke model using cavity-assisted Raman transitions
- Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
- Subsystem ETH
- Canonical Typicality of Energy Eigenstates of an Isolated Quantum System
- Spinor self-ordering of a quantum gas in a cavity
- Observation of a Dissipation-Induced Classical to Quantum Transition
- Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
- Stabilizing entanglement via symmetry-selective bath engineering in superconducting qubits
- Dynamical aspects of quantum entanglement for weakly coupled kicked tops
- Universal spectra of random Lindblad operators
- Quantum chaos and effective thermalization
- Dissipation-induced anomalous multicritical phenomena
- Squeezed light induced symmetry breaking superradiant phase transition
- Non-equilibrium delocalization-localization transition of photons in circuit QED
- Bistability vs. Metastability in Driven Dissipative Rydberg Gases
- Emerging dissipative phases in a superradiant quantum gas with tunable decay
- Dicke model simulation via cavity-assisted Raman transitions
- Quantum ratchets in dissipative chaotic systems
- Exactness of mean-field equations for open Dicke models with an application to pattern retrieval dynamics
- Equilibration and macroscopic quantum fluctuations in the Dicke model
- Atom-only descriptions of the driven-dissipative Dicke model
- Thermalization and ergodicity in many-body open quantum systems
- Classical chaos in atom-field systems
- Spectral and Steady-State Properties of Random Liouvillians
- Orthogonality catastrophe in dissipative quantum many body systems
- Controlling Quantum Transport via Dissipation Engineering
- Quantum chaos and entanglement in ergodic and non-ergodic systems
- Non-equilibrium dynamics in dissipative Bose-Hubbard chains
- The nonlinear semiclassical dynamics of the unbalanced, open Dicke model
- Distinguishing two single-mode Gaussian states by homodyne detection: An information-theoretic approach
- Dissipation-engineered family of nearly dark states in many-body cavity-atom systems
- Duality Between the Weak and Strong Interaction Limits for Randomly Interacting Fermions
- Superradiant Switching, Quantum Hysteresis, and Oscillations in a Generalized Dicke Model
- Thermalization in open many-body systems based on eigenstate thermalization hypothesis
- Thermalization in Open Quantum Systems
- Observing dynamical phases of BCS superconductors in a cavity QED simulator
- Dissipative Two-Mode Tavis-Cummings Model with Time-Delayed Feedback Control
- Chaos and Thermalization in the Spin-Boson Dicke Model
- Quantum Signature of Chaos and Thermalization in Kicked Dicke Model
- Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals
- Eigenvalue statistics as indicator of integrability of non-equilibrium density operators
- Robustness of quantum chaos and anomalous relaxation in open quantum circuits
- Chaos and magic in the dissipative quantum kicked top
- Realizing limit cycles in dissipative bosonic systems
- Dissipative quantum chaos: transition from wave packet collapse to explosion
- Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
- Breakdown of the Quantum Distinction of Regular and Chaotic Classical Dynamics in Dissipative Systems
- Classical and Quantum Chaos in Chirally-Driven, Dissipative Bose-Hubbard Systems
- Quantum Fluctuation Dynamics of Dispersive Superradiant Pulses in a Hybrid Light-Matter System
- Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
- Bosons with incommensurate potential and spin-orbit coupling
- Quantum signatures in quench from chaos to superradiance
- Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer
- Engineering indefinitely long-lived localization in cavity-QED arrays
- Classical route to ergodicity and scarring in collective quantum systems
- Nonequilibrium dynamics of the Jaynes-Cummings dimer
- Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
- Subsystem eigenstate thermalization hypothesis for translation invariant systems
- Quantum manifestation of the classical bifurcation in the driven dissipative Bose-Hubbard dimer