Analysis of chaos and regularity in the open Dicke model
arXiv:2307.05675 · doi:10.1103/PhysRevE.109.014206
Abstract
We present an analysis of chaos and regularity in the open Dicke model, when dissipation is due to cavity losses. Due to the infinite Liouville space of this model, we also introduce a criterion to numerically find a complex spectrum which approximately represents the system spectrum. The isolated Dicke model has a well-defined classical limit with two degrees of freedom. We select two case studies where the classical isolated system shows regularity and where chaos appears. To characterize the open system as regular or chaotic, we study regions of the complex spectrum taking windows over the absolute value of its eigenvalues. Our results for this infinite-dimensional system agree with the Grobe-Haake-Sommers (GHS) conjecture for Markovian dissipative open quantum systems, finding the expected 2D Poisson distribution for regular regimes, and the distribution of the Ginibre unitary ensemble (GinUE) for the chaotic ones, respectively.
arXiv comment15 pages, 6 figures
References in corpus (63)
- Random Matrix Theories in Quantum Physics: Common Concepts
- Localization of interacting fermions at high temperature
- Non-Hermitian Physics
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Chaos and the Quantum Phase Transition in the Dicke Model
- A short introduction to the Lindblad Master Equation
- Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
- Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
- Symmetries and conserved quantities in Lindblad master equations
- Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Dynamical phase transition in the open Dicke model
- Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
- Non-Hermitian Many-Body Localization
- Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
- Realization of the Dicke model using cavity-assisted Raman transitions
- Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
- Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
- Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
- Ultrastrong coupling phenomena beyond the Dicke model
- Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
- Excited-State Quantum Phase Transitions in Dicke Superradiance Models
- Verification of a many-ion simulator of the Dicke model through slow quenches across a phase transition
- Universality classes of non-Hermitian random matrices
- Symmetry breaking and error correction in open quantum systems
- Non-Hermitian Random Matrix Theory and Lattice QCD with Chemical Potential
- Super-Radiant Dynamics, Doorways, and Resonances in Nuclei and Other Open Mesoscopic Systems
- Dicke model simulation via cavity-assisted Raman transitions
- Superradiant and Lasing States in Driven-Dissipative Dicke Models
- Comparative quantum and semi-classical analysis of Atom-Field Systems II: Chaos and regularity
- Level repulsion in integrable and almost-integrable quantum spin models
- 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
- Classical chaos in atom-field systems
- Ubiquitous quantum scarring does not prevent ergodicity
- Husimi distribution and phase space analysis of Dicke model quantum phase transition
- Quantum quench dynamics in Dicke superradiance models
- Dynamical signatures of quantum chaos and relaxation timescales in a spin-boson system
- Entropy, chaos and excited-state quantum phase transitions in the Dicke model
- Dynamics of the Dicke model close to the classical limit
- Bang-bang shortcut to adiabaticity in the Dicke model as realized in a Penning trap experiment
- Chaos and quantum scars in Bose-Josephson junction coupled to a bosonic mode
- The nonlinear semiclassical dynamics of the unbalanced, open Dicke model
- Delocalization and quantum chaos in atom-field systems
- Open system of interacting fermions: Statistical properties of cross sections and fluctuations
- Dissipation-induced bistability in the two-photon Dicke model
- Dissipative Dicke Model with Collective Atomic Decay: Bistability, Noise-Driven Activation and Non-Thermal First Order Superradiance Transition
- From integrability to chaos in quantum Liouvillians
- Quantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring
- Chaos and Thermalization in the Spin-Boson Dicke Model
- Quantum fluctuations and correlations in open quantum Dicke models
- Quantum Signature of Chaos and Thermalization in Kicked Dicke Model
- Analytical description of the survival probability of coherent states in regular regimes
- Quantum scarring in a spin-boson system: fundamental families of periodic orbits
- Internal chaos in an open quantum system: From Ericson to conductance fluctuations
- Efficient basis for the Dicke Model I: theory and convergence in energy
- Efficient basis for the Dicke Model II: wave function convergence and excited states
- Quantum localization measures in phase space
- Regularity and chaos in cavity QED
- Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
- Identification of quantum scars via phase-space localization measures
- Quantum signatures in quench from chaos to superradiance
- Quantum chaos and thermalization in the two-mode Dicke model
Cited by in corpus (5)
- Breakdown of the Quantum Distinction of Regular and Chaotic Classical Dynamics in Dissipative Systems
- Transient and steady-state chaos in dissipative quantum systems
- Complexity of Quantum Trajectories
- Open-system dynamics in local Lindbladians with chaotic spectra
- Comparative Study of Indicators of Chaos in the Closed and Open Dicke Model