Phase transitions of the Dicke model: a unified perspective
arXiv:2109.06227 · doi:10.1103/PhysRevA.105.033716
Abstract
The Dicke model exhibits a variety of phase transitions. The quantum phase transition from the normal phase to the super-radiant phase is marked by a dramatic change in the scaling of the participation ratio. We find that the ground state in the super-radiant phase exhibits multifractality manifest in the participation ratio scaling as the square root of the full Hilbert space dimension. The thermal phase transition temperature, for which we obtain an exact analytical expression, is strikingly captured by the mutual information between two spins. In the excited state quantum phase transition within the super-radiant phase, we discover a new upper cut-off energy; the central energy band between the lower and upper cut-off energies shows distinctly different behaviour. This finding is corroborated with the aid of several eigenvector properties: von Neumann entanglement entropy between spins and bosons, the mean photon number, concurrence between two spins, and participation ratio. Thus we obtain a unified picture for the three different kinds of phase transitions.
References in corpus (67)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Double-slit photoelectron interference in strong-field ionization of the neon dimer
- Entanglement of a Pair of Quantum Bits
- Many body localization and thermalization in quantum statistical mechanics
- Scaling of Entanglement close to a Quantum Phase Transitions
- The many-body localization phase transition
- Continuous Quantum Phase Transitions
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Chaos and the Quantum Phase Transition in the Dicke Model
- Many-body localization: an introduction and selected topics
- Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
- Quantum versus classical correlations in Gaussian states
- Entanglement and the Phase Transition in Single Mode Superradiance
- Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
- Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
- Dynamical phase transition in the open Dicke model
- Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
- Classical Correlations and Entanglement in Quantum Measurements
- Multifractal Scalings across the Many-Body Localization Transition
- Excited state quantum phase transitions in many-body systems
- Locking classical correlation in quantum states
- Quantum and classical thermal correlations in the XY spin-1/2 chain
- Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
- Finite-Size Scaling Exponents in the Dicke Model
- Thouless energy and multifractality across the many-body localization transition
- Poisson versus GOE statistics in integrable and non-integrable quantum hamiltonian
- Testing statistical bounds on entanglement using quantum chaos
- Entangling power of quantized chaotic systems
- Excited-State Quantum Phase Transitions in Dicke Superradiance Models
- Excited-state quantum phase transitions
- Entanglement production in coupled chaotic systems : Case of the Kicked Tops
- Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
- Comparative quantum and semi-classical analysis of Atom-Field Systems I: density of states and excited-state quantum phase transitions
- Quantum quench influenced by an excited-state phase transition
- Entanglement entropy in collective models
- Entanglement, avoided crossings and quantum chaos in an Ising model with a tilted magnetic field
- Impact of Quantum Phase Transitions on Excited Level Dynamics
- Superradiant and Lasing States in Driven-Dissipative Dicke Models
- Comparative quantum and semi-classical analysis of Atom-Field Systems II: Chaos and regularity
- Semiclassical time-evolution of the reduced density matrix and dynamically assisted generation of entanglement for bipartite quantum systems
- Entanglement sharing in one-particle states
- Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement
- Classical chaos in atom-field systems
- Many-body Multifractality throughout Bosonic Superfluid and Mott Insulator Phases
- Entanglement dynamics in chaotic systems
- Saturation of the production of quantum entanglement between weakly coupled mapping systems in strongly chaotic region
- Quantum quench dynamics in Dicke superradiance models
- Global entangling properties of the coupled kicked tops
- Multifractal metal in a disordered Josephson Junction Array
- Non-ergodicity in the Anisotropic Dicke model
- Entanglement sharing among qudits
- Entanglement Generation of Nearly-Random Operators
- Classification of excited-state quantum phase transitions for arbitrary number of degrees of freedom
- From thermal to excited-state quantum phase transitions ---the Dicke model
- Delocalization and quantum chaos in atom-field systems
- Thermal and Quantum Phase Transitions in Atom-Field Systems: a Microcanonical Analysis
- Quantum phases and entanglement properties of an extended Dicke model
- Phase Transition in the periodically pulsed Dicke Model
- Global entanglement and quantum phase transitions in the transverse XY Heisenberg chain
- Signatures of bifurcation on quantum correlations: Case of the quantum kicked top
- Multifractal finite-size scaling at the Anderson transition in the unitary symmetry class
- Excited-state quantum phase transitions in a two-fluid Lipkin model
- Generation of entanglement in regular systems
- Exploring chaos in Dicke Model using ground state fidelity and Loschmidt echo
- Inverse Participation Ratios in the XX spin chain
- Heat capacity for systems with excited-state quantum phase transitions
- Spectrum of the Dicke model in a superconducting qubit-oscillator system
Cited by in corpus (8)
- Three-level Dicke quantum battery
- Flat-band-based multifractality in the all-band-flat diamond chain
- Phase transitions of the anisotropic Dicke model
- Mixed eigenstates in the Dicke model: Statistics and power-law decay of the relative proportion in the semiclassical limit
- Phase Transitions in the Anisotropic Dicke-Stark Model with -square terms
- Quantum multifractality as a probe of phase space in the Dicke model
- Comment on 'Revisiting the phase transitions of the Dicke model'
- Transition to chaos in extended systems and their quantum impurity models