Non-ergodicity in the Anisotropic Dicke model

Abstract

We study the ergodic -- non-ergodic transition in a generalized Dicke model with independent co- and counter rotating light-matter coupling terms. By studying level statistics, the average ratio of consecutive level spacings, and the quantum butterfly effect (out-of-time correlation) as a dynamical probe, we show that the ergodic -- non-ergodic transition in the Dicke model is a consequence of the proximity to the integrable limit of the model when one of the couplings is set to zero. This can be interpreted as a hint for the existence of a quantum analogue of the classical Kolmogorov-Arnold-Moser theorem. Besides, we show that there is no intrinsic relation between the ergodic -- non-ergodic transition and the precursors of the normal -- superradiant quantum phase transition.

arXiv comment5 pages, 4 figures

References in corpus (35)

• Chaos and Quantum Thermalization
• Black holes and the butterfly effect
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• The many-body localization phase transition
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Electron spin decoherence in quantum dots due to interaction with nuclei
• Chaos and the Quantum Phase Transition in the Dicke Model
• Chaos in quantum channels
• 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
• Breakdown of thermalization in finite one-dimensional systems
• Measuring the scrambling of quantum information
• Two-dimensional conformal field theory and the butterfly effect
• Lieb-Robinson and the butterfly effect
• Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
• Prethermalization and thermalization in models with weak integrability breaking
• Numerical study of fermion and boson models with infinite-range random interactions
• Realization of the Dicke model using cavity-assisted Raman transitions
• Measurement of many-body chaos using a quantum clock
• Excited-State Quantum Phase Transitions in Dicke Superradiance Models
• Implementation of the Dicke lattice model in hybrid quantum system arrays
• Quantum chaos and effective thermalization
• Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases
• Equilibration and macroscopic quantum fluctuations in the Dicke model
• Efficient Quantum Algorithm for Computing n-time Correlation Functions
• Classical chaos in atom-field systems
• Global properties of the spectrum of the Haldane-Shastry spin chain
• Entropy, chaos and excited-state quantum phase transitions in the Dicke model
• Supersymmetry in quantum optics and in spin-orbit coupled systems
• Short period attractors and non-ergodic behavior in the deterministic fixed energy sandpile model
• Quantum chaos and operator fidelity metric
• Non-equilibrium dynamics of the Tavis-Cummings model
• Sensitivity to perturbations and quantum phase transitions
• Average diagonal entropy in non-equilibrium isolated quantum systems

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• Probing excited-state quantum phase transition in a quantum many body system via out-of-time-ordered correlator
• Random Matrix Ensemble for the Level Statistics of Many-Body Localization
• Chaos and quantum scars in Bose-Josephson junction coupled to a bosonic mode
• Out-of-time-order correlations and Floquet dynamical quantum phase transition
• Fast scrambling without appealing to holographic duality
• Finite-size scaling analysis in the two-photon Dicke model
• Out-of-time-order correlators and quantum phase transitions in the Rabi and Dicke model
• Quantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring
• Characterizing the dynamical phase diagram of the Dicke model via classical and quantum probes
• Fermionic formalism for driven-dissipative multi-level systems
• Phase transitions of the anisotropic Dicke model
• Phase transitions of the Dicke model: a unified perspective
• Anomalous Thermalization in Quantum Collective Models
• Slow scrambling in sonic black holes
• Information propagation in one-dimensional XY-$\Gamma$ chains
• Probing the Possibilities of Ergodicity in the 1D Spin-1/2 XY Chain with Quench Dynamics
• Measuring out-of-time-ordered correlation functions with a single impurity qubit in a bosonic Josephson junction
• Chaos in Optomechanical Systems coupled to a Non-Markovian environment
• Classical route to ergodicity and scarring in collective quantum systems
• Out-of-Time-Ordered Correlation in Anisotropic Dicke Model
• Information Trapping by Topologically Protected Edge States: Scrambling and the Butterfly Velocity
• Quantum multifractality as a probe of phase space in the Dicke model
• Quantum Geometric Tensor and Critical Metrology in the Anisotropic Dicke Model
• Quantum Phase Transitions in a Generalized Dicke Model
• Exploring global symmetry-breaking superradiant phase via phase competition
• Transition to chaos in extended systems and their quantum impurity models
• Lasing and counter-lasing phase transitions in a cavity QED system
• Hierarchic superradiant phases in anisotropic Dicke model
• Quantum heat transport in nonequilibrium anisotropic Dicke model
• Exploring the properties of quantum scars in a toy model