Breakdown of the Quantum Distinction of Regular and Chaotic Classical Dynamics in Dissipative Systems
arXiv:2406.07616 · doi:10.1103/PhysRevLett.133.240404
Abstract
Quantum chaos has recently received increasing attention due to its relationship with experimental and theoretical studies of nonequilibrium quantum dynamics, thermalization, and the scrambling of quantum information. In an isolated system, quantum chaos refers to properties of the spectrum that emerge when the classical counterpart of the system is chaotic. However, despite experimental progress leading to longer coherence times, interactions with an environment can never be neglected, which calls for a definition of quantum chaos in dissipative systems. Advances in this direction were brought by the Grobe-Haake-Sommers (GHS) conjecture, which connects chaos in a dissipative classical system with cubic repulsion of the eigenvalues of the quantum counterpart and regularity with linear level repulsion. Here, we show that the GHS conjecture does not hold for the open Dicke model, which is a spin-boson model of experimental interest. We show that the onset of cubic level repulsion in the open quantum model is not always related with chaotic structures in the classical limit. This result challenges the universality of the GHS conjecture and raises the question of what is the source of spectral correlations in open quantum systems.
7 pages, 3 figures, 1 supplemental material
References in corpus (45)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Random Matrix Theories in Quantum Physics: Common Concepts
- Localization of interacting fermions at high temperature
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Chaos in AdS holography
- Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
- Symmetries and conserved quantities in Lindblad master equations
- Quantum chaos challenges many-body localization
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Verified Quantum Information Scrambling
- 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
- Realization of the Dicke model using cavity-assisted Raman transitions
- Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
- Ultrastrong coupling phenomena beyond the Dicke model
- Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
- Verification of a many-ion simulator of the Dicke model through slow quenches across a phase transition
- Universality classes of non-Hermitian random matrices
- Universal spectra of random Lindblad operators
- Symmetry breaking and error correction in open quantum systems
- Non-Hermitian Random Matrix Theory and Lattice QCD with Chemical Potential
- Some remarks on 'superradiant' phase transitions in light-matter systems
- Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
- Dicke model simulation via cavity-assisted Raman transitions
- Comparative quantum and semi-classical analysis of Atom-Field Systems II: Chaos and regularity
- Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
- Level repulsion in integrable and almost-integrable quantum spin models
- Classical chaos in atom-field systems
- Symmetry Classification of Many-Body Lindbladians: Tenfold Way and Beyond
- Speck of Chaos
- Bang-bang shortcut to adiabaticity in the Dicke model as realized in a Penning trap experiment
- The nonlinear semiclassical dynamics of the unbalanced, open Dicke model
- Dissipative quantum phase transition of light in a generalized Jaynes-Cummings-Rabi model
- From integrability to chaos in quantum Liouvillians
- Stringent Numerical Test of the Poisson Distribution for Finite Quantum Integrable Hamiltonians
- Universality and its limits in non-Hermitian many-body quantum chaos using the Sachdev-Ye-Kitaev model
- Quantum fluctuations and correlations in open quantum Dicke models
- Wigner--Dyson statistics for a class of integrable models
- Multicritical dissipative phase transitions in the anisotropic open quantum Rabi model
- Statistical and dynamical properties of the quantum triangle map
- Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
- Topological Non--connectivity Threshold in long-range spin systems
- Analysis of chaos and regularity in the open Dicke model
Cited by in corpus (8)
- Chaotic and quantum dynamics in driven-dissipative bosonic chains
- Dissipative chaos and steady state of open Tavis-Cummings dimer
- Transient and steady-state chaos in dissipative quantum systems
- Correspondence principle, dissipation, and Ginibre ensemble
- Open-system dynamics in local Lindbladians with chaotic spectra
- The simplest 2D quantum walk detects chaoticity
- Comparative Study of Indicators of Chaos in the Closed and Open Dicke Model
- Chaos and quantum regimes in -photon driven, dissipative bosonic chains