Chaos and the Quantum Phase Transition in the Dicke Model

Abstract

We investigate the quantum chaotic properties of the Dicke Hamiltonian; a quantum-optical model which describes a single-mode bosonic field interacting with an ensemble of $N$ two-level atoms. This model exhibits a zero-temperature quantum phase transition in the $N \go \infty$ limit, which we describe exactly in an effective Hamiltonian approach. We then numerically investigate the system at finite $N$ and, by analysing the level statistics, we demonstrate that the system undergoes a transition from quasi-integrability to quantum chaotic, and that this transition is caused by the precursors of the quantum phase-transition. Our considerations of the wavefunction indicate that this is connected with a delocalisation of the system and the emergence of macroscopic coherence. We also derive a semi-classical Dicke model, which exhibits analogues of all the important features of the quantum model, such as the phase transition and the concurrent onset of chaos.

51 pages, 15 figures, latex

References in corpus (17)

• Random Matrix Theories in Quantum Physics: Common Concepts
• Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
• Emergence of quantum chaos in finite interacting Fermi systems
• Bose condensation of cavity polaritons beyond the linear regime: the thermal equilibrium of a model microcavity
• Quantum Chaos Border for Quantum Computing
• Emergence of Quantum Chaos in Quantum Computer Core and How to Manage It
• Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition
• Collectivity, Phase Transitions and Exceptional Points in Open Quantum Systems
• Information-theoretic characterization of quantum chaos
• Scaling of Level Statistics at the Disorder-Induced Metal-Insulator Transition
• Integrability and Quantum Chaos in Spin Glass Shards
• Hypersensitivity to Perturbations in the Quantum Baker's Map
• Recoherence in the entanglement dynamics and classical orbits in the N-atom Jaynes-Cummings model
• Chaos for Liouville probability densities
• Number-phase-squeezed few-photon state generated from squeezed atoms
• Time evolution of the Rabi Hamiltonian from the unexcited vacuum
• Quantum Chaos, Degeneracies and Exceptional Points

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• Opto-mechanical effects in self-organization of a Bose-Einstein condensate in an optical cavity
• Correlations in eigenfunctions of quantum chaotic systems with sparse Hamiltonian matrices
• Terahertz Strong-Field Physics without a Strong External Terahertz Field
• Correspondence between Dicke-model semiclasscial dynamics in the superradiant dipolar phase and the Euler heavy top
• Overlap with the Separable State and Phase Transition in the Dicke Model: Zero and Finite Temperature
• Quantum phase diagrams of Dicke-Ising models by a wormhole algorithm
• Quantum Phase Transitions in a Generalized Dicke Model
• Dicke model semiclassical dynamics in superradiant dipolar phase in the 'bound luminosity' state
• Convergent perturbation expansion of energy eigenfunctions on unperturbed basis states in classically-forbidden regions
• Exploring global symmetry-breaking superradiant phase via phase competition
• Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
• Possibility of superradiant phase transitions in coupled two-level atoms
• Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays
• Peres Lattices and chaos in the Dicke model
• A Floquet analysis perspective of driven light-matter interaction models
• Adiabatic approximation for three qubits ultrastrongly coupled to a harmonic oscillator
• Effective dimensions of infinite-dimensional Hilbert spaces: A phase-space approach
• Efficient tensor-network simulation for the few-atom multimode Dicke model via coupling-matrix transformation
• A Quantum Many-Body Instability in the Thermodynamic Limit
• Dynamical properties of the finite-size Dicke model coupled to a thermal reservoir
• Fluctuations of work in realistic equilibrium states of quantum systems with conserved quantities
• Effect of spin-orbit interaction on the critical temperature of an ideal Bose gas
• Comment on 'Revisiting the phase transitions of the Dicke model'
• Two-photon statistics of nonclassical radiation in the dissipative finite-size Dicke model
• Quantum phase transitions in an effective Hamiltonian: fast and slow systems
• Effective spin physics in two-dimensional cavity QED arrays
• Classical, semiclassical and quantum signatures of quantum phase transitions in a (pseudo) relativistic many-body system
• Power-law growth of time and strength of squeezing near quantum critical point
• A binary mixture of Bose-Einstein-condensates in a double-well potential: Berry phase and two-mode entanglement
• Quantum phase transitions in a Dicke trimer with both photon and atom hoppings
• Dimensional crossover in self-organised super-radiant phases of ultra cold atoms inside a cavity
• Dynamic sensitivity of quantum Rabi model with quantum criticality
• Effective Field Theories and Finite-temperature Properties of Zero-dimensional Superradiant Quantum Phase Transitions
• Tuning and Amplifying the Interactions in Superconducting Quantum Circuits with Subradiant Qubits
• Dynamically generated darkness in the Dicke model
• Multipartite quantum correlations in a two-mode Dicke model
• Superradiant phase transition with cavity assisted dynamical spin-orbit coupling
• Low-temperature Quantum Metrology Enhanced by Strong Couplings
• Quantum Metrology in the Ultrastrong Coupling Regime of Light-Matter Interactions: Leveraging Virtual Excitations without Extracting Them
• Atom-Molecule Superradiance and Entanglement with Cavity-Mediated Three-Body Interactions
• Entanglement criteria for two strongly interacting ensembles
• Critical Spectrum and Quantum Criticality in the Two-Photon Rabi-Stark Model
• Nonreciprocal superradiant quantum phase transition induced by the magnon Kerr effect
• Magnonic Superradiant Phase Transition
• Circuit-based cavity magnonics in the ultrastrong and deep-strong coupling regimes
• Spontaneous symmetry breaking and Husimi Q-functions in extended Dicke model
• Measuring nonclasicality of single-mode systems
• Dynamics of Coherent States in Regular and Chaotic Regimes of the Non-integrable Dicke Model
• Berry Phase and Fidelity in the Dicke model with $A^2$ term
• Wave packet methods in cavity QED
• A transition in the spectral statistics of quantum optical model by different electromagnetic fields
• "Bound luminosity" state in the extended Dicke model
• Time evolution of interacting bosons through squeezing Hamiltonians
• Transition to chaos in extended systems and their quantum impurity models
• Loss of integrability in a system with two-photon interactions
• Stability of Symmetry Breaking States in Finite-size Dicke Model with Photon Leakage
• Lasing and counter-lasing phase transitions in a cavity QED system
• Spontaneous superradiant photon current
• Relaxation of Rabi Dynamics in a Superconducting Multiple-Qubit Circuit
• Squeezing generation crossing a mean-field critical point: Work statistics, irreversibility and critical fingerprints
• Phase Transitions in Light-Matter Systems for Quantum Sensing
• From Few to Many Emitters Cavity QED: Energy Levels and Emission Spectra From Weak to Deep-Strong Coupling
• Order, Chaos and Quasi Symmetries in a First-Order Quantum Phase Transition
• Digital-Analog Simulations of Schrödinger Cat States in the Dicke-Ising Model
• Non-Gaussian Phase Transition and Cascade of Instabilities in the Dissipative Quantum Rabi Model
• Entanglement distribution in fermion model with long-range interaction
• Self-Ordered Supersolid in Spinor Condensates with Cavity-Mediated Spin-Momentum-Mixing Interactions
• Dicke-Hepp-Lieb Superradiant Phase Transition and Independent Modes Model in Quantum Optomechanics
• Diffusion and entanglement of a kicked particle in an infinite square well under frequent measurements
• Thermodynamic Limit and Decoherence: Rigorous Results
• Scale invariant distribution functions in quantum systems with few degrees of freedom
• Many-body methods in agent-based epidemic models
• Analysis of quantum phase transition in some different Curie-Weiss models: a unified approach
• Quantum transitions, ergodicity, and quantum scars in the coupled top model
• Amplified response of cavity-coupled quantum-critical systems
• Metastability in the Dissipative Quantum Rabi Model
• Microscopic quantum description of surface plasmon polaritons: Revealing intrinsic ultrastrong light-matter coupling
• Superradiant Phase is a Finite Size Effect in Two-photon Processes
• Quantum heat transport in nonequilibrium anisotropic Dicke model
• Behavior of quantum coherence in the ultrastrong and deep strong coupling regimes of light-matter system
• Beyond mean-field dynamics of the Dicke model with non-Markovian dephasing
• Comparative Study of Indicators of Chaos in the Closed and Open Dicke Model
• Hierarchic superradiant phases in anisotropic Dicke model
• Controlled bit-flip of period-doubling and discrete time crystalline states in open systems
• Controlling Symmetries and Quantum Criticality in the Anisotropic Coupled-Top Model
• Dissipative quantum dynamics, phase transitions and non-Hermitian random matrices
• Stabilization of product states and excited-state quantum phase transitions in a coupled qubit-field system
• Superradiant Quantum Phase Transition in Open Systems: System-Bath Interaction at the Critical Point
• Cavity-induced quantum droplets
• Long-time signatures of chaos in large atom-light frequency ratios Rabi model
• Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in $R^4$
• Enhancement of efficiency in the Dicke model quantum heat engine
• Collective modes for helical edge state interacting with quantum light
• Quantum Criticality in the Biased Dicke Model
• Quantum phase transition in an effective three-mode model of interacting bosons
• Quantum Chaos and Universal Trotterisation Behaviours in Digital Quantum Simulations