Phase transitions of the anisotropic Dicke model

Abstract

We systematically analyze the various phase transitions of the anisotropic Dicke model that is endowed with both rotating and counter-rotating light-matter couplings. In addition to the ground state quantum phase transition (QPT) from the normal to the super-radiant phase, the anisotropic Dicke model also exhibits other transitions namely the excited state quantum phase transition (ES- QPT), ergodic to non-ergodic transition (ENET) and the temperature dependent phase transition. We show that these phase transitions are profitably studied not only with the standard consecutive level spacing ratio, but also with the aid of various eigenvector quantities such as von Neumann entanglement entropy, the participation ratio, multifractal dimension and mutual information. For ENET, both the statics and dynamics of the participation ratio offer a consistent and useful picture. An exciting finding from our work is that the ESQPT and the ENET are closely related to each other. We show this with the aid of two characteristic energies in the spectrum corresponding to jumps in von Neumann entropy.

arXiv comment13 pages, 7 figures

References in corpus (46)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement of a Pair of Quantum Bits
• Classical, quantum and total correlations
• Unbounded growth of entanglement in models of many-body localization
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Quantum phase transitions of light
• Chaos and the Quantum Phase Transition in the Dicke Model
• 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
• Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
• Multifractal Scalings across the Many-Body Localization Transition
• Many-body localization characterized from a one-particle perspective
• Locking classical correlation in quantum states
• Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
• Optimal measurements to access classical correlations of two-qubit states
• Excited-State Quantum Phase Transitions in Dicke Superradiance Models
• Excited-state quantum phase transitions
• Comparative quantum and semi-classical analysis of Atom-Field Systems I: density of states and excited-state quantum phase transitions
• Boundary Fidelity and Entanglement in the symmetry protected topological phase of the SSH model
• Superradiant and Lasing States in Driven-Dissipative Dicke Models
• Wigner-Dyson Statistics from the Replica Method
• Classical chaos in atom-field systems
• Many-body Multifractality throughout Bosonic Superfluid and Mott Insulator Phases
• Non-ergodicity in the Anisotropic Dicke model
• Quantum and Thermal Phase Transitions of the Triangular SU(3) Heisenberg Model under Magnetic Fields
• 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
• Non-equilibrium quantum relaxation across a localization-delocalization transition
• Analog quantum simulation of generalized Dicke models in trapped ions
• Interplay of disorder and interactions in a flat-band supporting diamond chain
• Thermal and Quantum Phase Transitions in Atom-Field Systems: a Microcanonical Analysis
• Entanglement contour perspective for strong area law violation in a disordered long-range hopping model
• Universal fluctuations and squeezing in generalized Dicke model near the superradiant phase transition
• Quantum phases and entanglement properties of an extended Dicke model
• Landauer Current and Mutual Information
• Quantum Phase Transition and Entanglement in Topological Quantum Wires
• Many-body entanglement in a topological chiral ladder
• Quantum phase transitions in Bose-Einstein condensates from a Bethe ansatz perspective
• Adiabatic invariants for the regular region of the Dicke model
• Exploring chaos in Dicke Model using ground state fidelity and Loschmidt echo
• Multipartite Quantum Correlations in Open Quantum Systems
• Phase transitions of the Dicke model: a unified perspective
• Spectrum of the Dicke model in a superconducting qubit-oscillator system
• Landauer current and mutual information in a bosonic quantum dot

Cited by in corpus (7)

• Three-level Dicke quantum battery
• Nonequilibrium dynamics of the Jaynes-Cummings dimer
• Phase Transitions in the Anisotropic Dicke-Stark Model with $A$-square terms
• Quantum multifractality as a probe of phase space in the Dicke model
• Quantum Geometric Tensor and Critical Metrology in the Anisotropic Dicke Model
• Transient and steady-state chaos in dissipative quantum systems
• Hierarchic superradiant phases in anisotropic Dicke model