Emergent Finite Frequency Criticality of Driven-Dissipative Correlated Lattice Bosons

Abstract

Critical points and phase transitions are characterized by diverging susceptibilities, reflecting the tendency of the system toward spontaneous symmetry breaking. Equilibrium statistical mechanics bounds these instabilities to occur at zero frequency, giving rise to static order parameters. In this work we introduce a new class of dynamical transitions in a quantum many body system far from thermal equilibrium, characterized by a susceptibility diverging at a finite non-zero frequency, an emerging scale set by interactions and non-equilibrium effects. In the broken-symmetry phase the corresponding macroscopic order parameter becomes non-stationary and oscillates in time without damping, thus breaking continuous time-translational symmetry. Our results, obtained for a paradigmatic model of bosons interacting on lattice in prensence of drive and dissipation, are relevant for the upcoming generation of circuit QED arrays experiments and outline a generic framework to study time-domain instabilities in non-equilibrium quantum systems, including Floquet time crystals and quantum synchronization.

arXiv comment10 pages, 8 figures

References in corpus (43)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Quantum fluids of light
• Observation of a Discrete Time Crystal
• Observation of discrete time-crystalline order in a disordered dipolar many-body system
• Floquet Time Crystals
• Front propagation into unstable states
• On the phase structure of driven quantum systems
• Keldysh Field Theory for Driven Open Quantum Systems
• A Dissipatively Stabilized Mott Insulator of Photons
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Dispersive Photon Blockade in a Superconducting Circuit
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Quantum many-body dynamics in optomechanical arrays
• Circuit QED lattices: towards quantum simulation with superconducting circuits
• Non-equilibrium quantum condensation in an incoherently pumped dissipative system
• Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
• Photon solid phases in driven arrays of nonlinearly coupled cavities
• Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
• Nonequilibrium many-body steady states via Keldysh formalism
• Observation of a Dissipation-Induced Classical to Quantum Transition
• Dynamical transitions and quantum quenches in mean-field models
• Quantum quenches, dynamical transitions and off-equilibrium quantum criticality
• Driven Markovian Quantum Criticality
• Strong coupling theory for the Jaynes-Cummings-Hubbard model
• Quantum Synchronization Blockade: Energy Quantization hinders Synchronization of Identical Oscillators
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Nonequilibrium Phase Diagram of a Driven-Dissipative Many-Body System
• Limit cycle phase in driven-dissipative spin systems
• Aging and coarsening in isolated quantum systems after a quench: exact results for the quantum $O(N)$ model with $N\to \infty$
• Cooling and Autonomous Feedback in a Bose-Hubbard chain with Attractive Interactions
• Exotic attractors of the non-equilibrium Rabi-Hubbard model
• Phase diagram of incoherently driven strongly correlated photonic lattices
• Collective phases of strongly interacting cavity photons
• Stabilizing strongly correlated photon fluids with non-Markovian reservoirs
• Nonperturbative renormalization-group approach to strongly-correlated lattice bosons
• Optomechanics with two-phonon driving
• Quantum dynamical field theory for non-equilibrium phase transitions in driven open systems
• Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in $d$ spatial dimensions
• Towards strongly correlated photons in arrays of dissipative nonlinear cavities under a frequency-dependent incoherent pumping
• Quantum correlations and limit cycles in the driven-dissipative Heisenberg lattice
• An Autonomous Stabilizer for Incompressible Photon Fluids and Solids
• Keldysh field theory for nonequilibrium condensation in a parametrically pumped polariton system

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• Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
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• Quantum and semiclassical exceptional points of a linear system of coupled cavities with losses and gain within the Scully-Lamb laser theory
• Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
• Spectral functions and negative density of states of a driven-dissipative nonlinear quantum resonator
• Mode softening in time-crystalline transitions of open quantum systems
• Many-Body Open Quantum Systems
• Universal phenomenology at critical exceptional points of nonequilibrium $O(N)$ models
• Nonequilibrium Criticality at the Onset of Time-Crystalline Order
• Optimal stochastic unraveling of disordered open quantum systems: application to driven-dissipative photonic lattices
• Correlation-induced steady states and limit cycles in driven dissipative quantum systems
• Signatures of Self-Trapping in the Driven-Dissipative Bose-Hubbard Dimer
• Kardar-Parisi-Zhang scaling in time-crystalline matter
• Correspondence between dissipative phase transitions of light and time crystals
• On the stability of dissipatively-prepared Mott insulators of photons
• Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
• Steady-State Quantum Zeno Effect of Driven-Dissipative Bosons with Dynamical Mean-Field Theory
• Stability via symmetry breaking in interacting driven systems