Hierarchic superradiant phases in anisotropic Dicke model

Abstract

We revisit the phase diagram of an anisotropic Dicke model by revealing the non-analyticity induced by underlying exceptional points. We find that, from a dynamical perspective, the conventional superradiant phase can be further separated into three regions, in which the systems are characterized by different effective Hamiltonians, including the harmonic oscillator, the inverted harmonic oscillator, and their respective counterparts. We employ the Loschmidt echo to characterize different quantum phases by analyzing the quench dynamics of a trivial initial state. Numerical simulations for finite systems confirm our predictions about the existence of hierarchic superradiant phases.

References in corpus (50)

• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• The physics of exceptional points
• Continuous-variable optical quantum state tomography
• Chaos and the Quantum Phase Transition in the Dicke Model
• Efficient quantum state tomography
• Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
• High-power collective charging of a solid-state quantum battery
• Entanglement and the Phase Transition in Single Mode Superradiance
• Light-matter interactions with photonic quasiparticles
• Dissipative Phase Transition in Central Spin Systems
• Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
• Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
• Superabsorption in an organic microcavity: towards a quantum battery
• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Dynamics of Nonequilibrium Dicke Models
• Quantum versus classical many-body batteries
• Reliable Quantum State Tomography
• Phase-dependent chiral transport and effective non-Hermitian dynamics in a bosonic Kitaev-Majorana chain
• Ultrafast charging in a two-photon Dicke quantum battery
• Finite-Size Scaling Exponents in the Dicke Model
• Extended Dicke quantum battery with interatomic interactions and driving field
• Excited-state quantum phase transitions
• Non-Hermitian chiral phononics through optomechanically-induced squeezing
• Non-Hermitian dynamics without dissipation in quantum systems
• Entanglement entropy in collective models
• Physics of the Inverted Harmonic Oscillator: From the lowest Landau level to event horizons
• Adequacy of the Dicke model in cavity QED: a counter-"no-go" statement
• Deconstructing effective non-Hermitian dynamics in quadratic bosonic Hamiltonians
• Three-level Dicke quantum battery
• Optomechanical realization of the bosonic Kitaev-Majorana chain
• Non-ergodicity in the Anisotropic Dicke model
• Quantum Simulation of the Bosonic Kitaev Chain
• Quantum phases and entanglement properties of an extended Dicke model
• Inverted harmonic oscillator dynamics of the nonequilibrium phase transition in the Dicke model
• Phase transitions of the anisotropic Dicke model
• Quantum criticality in interacting bosonic Kitaev-Hubbard models
• Monodromy in Dicke superradiance
• Manipulating growth and propagation of correlations in dipolar multilayers: From pair production to bosonic Kitaev models
• Superradiant phase transitions in the quantum Rabi model: Overcoming the no-go theorem through anisotropy
• The Interplay of Finite and Infinite Size Stability in Quadratic Bosonic Lindbladians
• Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer
• Quantum Simulation of an Extended Dicke Model with a Magnetic Solid
• Phase Transitions in the Anisotropic Dicke-Stark Model with $A$-square terms
• Two-mode Squeezing in Floquet Engineered Power-law Interacting Spin Models
• Hidden exceptional point, localization-delocalization phase transition in Hermitian bosonic Kitaev model
• Quantum Geometric Tensor and Critical Metrology in the Anisotropic Dicke Model
• Nonequilibrium Critical Scaling of a Squeezing Phase Transition
• Higher order coherence as witness of exceptional point in Hermitian bosonic Kitaev dimer
• Probing quantum phase transition in a staggered Bosonic Kitaev chain via layer-resolved localization-delocalization transition
• Bosonic Holes in Quadratic Bosonic Systems