Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
arXiv:1708.01472 · doi:10.1103/PhysRevLett.120.040404
Abstract
Discrete time crystals are a recently proposed and experimentally observed out-of-equilibrium dynamical phase of Floquet systems, where the stroboscopic evolution of a local observable repeats itself at an integer multiple of the driving period. We address this issue in a driven-dissipative setup, focusing on the modulated open Dicke model, which can be implemented by cavity or circuit QED systems. In the thermodynamic limit, we employ semiclassical approaches and find rich dynamical phases on top of the discrete time-crystalline order. In a deep quantum regime with few qubits, we find clear signatures of a transient discrete time-crystalline behavior, which is absent in the isolated counterpart. We establish a phenomenology of dissipative discrete time crystals by generalizing the Landau theory of phase transitions to Floquet open systems.
6+13 pages, 4+8 figures, 0+1 table, accepted version
References in corpus (20)
- Many-Body Physics with Ultracold Gases
- Many body localization and thermalization in quantum statistical mechanics
- Topological characterization of periodically-driven quantum systems
- Cold atoms in cavity-generated dynamical optical potentials
- Equilibrium states of generic quantum systems subject to periodic driving
- Many-body localization in periodically driven systems
- Absence of Quantum Time Crystals
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Dissipative Phase Transition in Central Spin Systems
- Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
- Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
- Observation of Dicke Superradiance for Two Artificial Atoms in a Cavity with High Decay Rate
- Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
- Critical dynamical properties of a first-order dissipative phase transition
- Mott insulator states of ultracold atoms in optical resonators
- Spin Correlations as a Probe of Quantum Synchronization in Trapped Ion Phonon-Lasers
- Suppressing and restoring the Dicke superradiance transition by dephasing and decay
- Chiral Floquet Phases of Many-body Localized Bosons
- Prethermal time crystals in a one-dimensional periodically driven Floquet system
- Dicke phase transition without total spin conservation
Cited by in corpus (93)
- Observation of a continuous time crystal
- Observation of a many-body-localized discrete time crystal with a programmable spin-based quantum simulator
- Colloquium: Quantum and Classical Discrete Time Crystals
- Constructing neural stationary states for open quantum many-body systems
- Emergent limit cycles and time crystal dynamics in an atom-cavity system
- Floquet Cavity Electromagnonics
- Photonic Metamaterial Analogue of a Continuous Time Crystal
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Dissipative time crystal in a strongly interacting Rydberg gas
- Continuous sensing and parameter estimation with the boundary time-crystal
- Nonreciprocal Superradiant Phase Transitions and Multicriticality in a Cavity QED System
- Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
- Bounds in Nonequilibrium Quantum Dynamics
- Measurement Induced Continuous Time Crystals
- Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
- Discrete time crystal enabled by Stark many-body localization
- Dissipative time crystals with long-range Lindbladians
- Floquet time-crystals as sensors of AC fields
- Quantum trajectories of dissipative time-crystals
- Mode softening in time-crystalline transitions of open quantum systems
- Many-body non-Hermitian skin effect under dynamic gauge coupling
- Solid-state continuous time crystal with a built-in clock
- Many-Body Open Quantum Systems
- Driven-dissipative time crystalline phases in a two-mode bosonic system with Kerr nonlinearity
- Embedding Quantum Many-Body Scars into Decoherence-Free Subspaces
- Nonequilibrium Criticality at the Onset of Time-Crystalline Order
- Dissipative time crystal in an atom-cavity system: Influence of trap and competing interactions
- Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals
- Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
- Realization of an inherent time crystal in a dissipative many-body system
- Lack of a genuine time crystal in a chiral soliton model
- Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance
- Nonequilibrium transition between dissipative time crystals
- Nonequilibrium phases of ultracold bosons with cavity-induced dynamic gauge fields
- Superradiant optomechanical phases of cold atomic gases in optical resonators
- Time Crystal in a Single-mode Nonlinear Cavity
- Superradiant emission of a thermal atomic beam into an optical cavity
- Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
- Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
- Quantum dynamics of Dissipative Kerr solitons
- Emergent symmetries in prethermal phases of periodically driven quantum systems
- Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving
- Theory of magnon-polaritons in quantum Ising materials
- Tuning the universality class of phase transitions by feedback: Open quantum systems beyond dissipation
- Driven anti-Bragg subradiant states in waveguide quantum electrodynamics
- Nonuniform phases in the geometrically frustrated dissipative XYZ model
- Observation of multiple steady states with engineered dissipation
- Dissipative Dicke time crystals: an atoms' point of view
- Critical steady states of all-to-all squeezed and driven superradiance: An analytic approach
- Theory of Metastability in Discrete-Time Open Quantum Dynamics
- Topologically protected boundary discrete time crystal for a solvable model
- Steady-state phases of dissipative spin-1/2 XYZ model with frustrated interaction
- Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems
- Discrete time crystal in an open optomechanical system
- Lie Algebraic Quantum Phase Reduction
- Designing open quantum systems for enabling quantum enhanced sensing through classical measurements
- Topology of Discrete Quantum Feedback Control
- Correspondence between dissipative phase transitions of light and time crystals
- Swapping Floquet time crystal
- Prolonging a discrete time crystal by quantum-classical feedback
- Spin self-organization in an optical cavity facilitated by inhomogeneous broadening
- Dynamical phase transition in Floquet optical bistable systems: An approach from finite-size quantum systems
- Dynamical phases of a BEC in a bad optical cavity at optomechanical resonance
- Discrete time-crystalline order in Bose-Hubbard model with dissipation
- Fragility to quantum fluctuations of classical Hamiltonian period doubling
- Queued quantum collision models
- A metronome spin stabilizes time-crystalline dynamics
- Time Crystals from single-molecule magnet arrays
- Discrete time crystal made of topological edge magnons
- Programmable time crystals from higher-order packing fields
- Conformal symmetry in quasi-free Markovian open quantum systems
- The time crystal phase emerges from the qubit network under unitary random operations
- Thermodynamics of coupled time crystals with an application to energy storage
- Absorption to Fluctuating Bunching States in Non-Unitary Boson Dynamics
- Kinetically constrained models constructed from dissipative quantum dynamics
- Symmetry-induced fragmentation and dissipative time crystal
- Stable time rondeau crystals in dissipative many-body systems
- Ancilla assisted Discrete Time Crystals in Non-interacting Spin Systems
- Condensed matter physics in big discrete time crystals
- Stability of the discrete time-crystalline order in spin-optomechanical and open cavity QED systems
- Discrete time crystals in the presence of non-Markovian dynamics
- Information scrambling and entanglement dynamics in Floquet Time Crystals
- The robustness condition for general disordered discrete time crystals, and subspace-thermal DTCs from phase transitions between different n-tuple DTCs
- Critical behavior of a programmable time-crystal lattice gas
- Metastable discrete time-crystal resonances in a dissipative central spin system
- Robustness of the Floquet-assisted superradiant phase and possible laser operation
- Controlled bit-flip of period-doubling and discrete time crystalline states in open systems
- Parameter estimation with one- and two-time measurements on the emission field of the boundary time crystal
- Time Glasses: Symmetry Broken Chaotic Phase with a Finite Gap
- Stabilizing boundary time crystals through Non-markovian dynamics
- Time Crystals in Actively Mode-locked Lasers
- Shift of quantum critical point of discrete time crystal on a noisy quantum simulator
- Quantum heat transport in nonequilibrium anisotropic Dicke model