Dynamical phase transitions in dissipative quantum dynamics with quantum optical realization

Abstract

We study dynamical phase transitions (DPT) in the driven and damped Dicke model, realizable for example by a driven atomic ensemble collectively coupled to a damped cavity mode. These DPTs are characterized by non-analyticities of certain observables, primarily the overlap of time evolved and initial state. Even though the dynamics is dissipative, this phenomenon occurs for a wide range of parameters and no fine-tuning is required. Focusing on the state of the 'atoms' in the limit of a bad cavity, we are able to asymptotically evaluate an exact path integral representation of the relevant overlaps. The DPTs then arise by minimization of a certain action function, which is related to the large deviation theory of a classical stochastic process. From a more general viewpoint, in the considered system, non-analyticities emerge generically in a Fock space representation of the state. Finally, we present a scheme which allows a measurement of the DPT in a cavity-QED setup.

References in corpus (37)

• Quantum Simulation
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Dynamical quantum phase transitions: a review
• Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Observation of a dynamical topological phase transition
• Dynamical phase transition in the open Dicke model
• Boundary time crystals
• Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
• Dynamical Topological Order Parameters far from Equilibrium
• Dynamical quantum phase transitions: scaling and universality
• Phase-space formulation of quantum mechanics and quantum state reconstruction for physical systems with Lie-group symmetries
• Real-time observation of fluctuations at the driven-dissipative Dicke phase transition
• Dynamical phase diagram of spin chains with long-range interactions
• Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
• Dynamical Quantum Phase Transitions: A Geometric Picture
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
• Dynamical quantum phase transitions: a brief survey
• Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics
• Dynamical phase transition in large deviation statistics of the Kardar-Parisi-Zhang equation
• Large deviations and dynamical phase transitions in stochastic chemical networks
• The fate of dynamical phase transitions at finite temperatures and in open systems
• Superradiant to subradiant phase transition in the open system Dicke model: Dark state cascades
• Dynamical quantum phase transitions and non-Markovian dynamics
• Landau theory of the short-time dynamical phase transitions of the Kardar-Parisi-Zhang interface
• Analog quantum simulation of generalized Dicke models in trapped ions
• The Lipkin-Meshkov-Glick model with Markovian dissipation -- A description of a collective spin on a metallic surface
• Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
• Quantum caustics and the hierarchy of light cones in quenched spin chains
• Exploring non-equilibrium phases of the generalized Dicke model with a trapped Rydberg ion quantum simulator
• Quantum spin dynamics in Fock space following quenches: Caustics and vortices
• Revealing the nature of non-equilibrium phase transitions with quantum trajectories
• Emergence of singularities from decoherence: Quantum catastrophes
• Finite-size and finite-time effects in large deviation functions near dynamical symmetry breaking transitions
• Mean Field Games in the weak noise limit : A WKB approach to the Fokker-Planck equation

Cited by in corpus (18)

• Dynamical bulk boundary correspondence and dynamical quantum phase transitions in higher order topological insulators
• Caustics in quantum many-body dynamics
• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Superradiant Phase Transition in the Strong Coupling Regime
• Exact dynamical correlations of nonlocal operators in quadratic open Fermion systems: a characteristic function approach
• Environment induced dynamical quantum phase transitions in two-qubit Rabi model
• Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
• Critical steady states of all-to-all squeezed and driven superradiance: An analytic approach
• Critical phenomena in light-matter systems with collective matter interactions
• Aperiodic dynamical quantum phase transitions in multi-band Bloch Hamiltonian and its origin
• Quantum Phase Transitions in a Generalized Dicke Model
• Numerical Simulations Unveil Superradiant Coherence in a Lattice of Charged Quantum Oscillators
• Spectral Analysis of Proton Eigenfunctions in Crystalline Environments
• Geometry effect of the dynamical quantum phase transitions at finite temperatures
• Dynamical Triplet Unravelling: A quantum Monte Carlo algorithm for reversible dynamics
• Dynamical Phase Transitions, Caustics, and Quantum Dark Bands
• Dynamical Quantum Phase Transitions and Many-Body Backflow in Open Quantum Systems
• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter