Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
arXiv:1807.10161 · doi:10.1103/PhysRevLett.122.015701
Abstract
We establish a link between metastability and a discrete time-crystalline phase in a periodically driven open quantum system. The mechanism we highlight requires neither the system to display any microscopic symmetry nor the presence of disorder, but relies instead on the emergence of a metastable regime. We investigate this in detail in an open quantum spin system, which is a canonical model for the exploration of collective phenomena in strongly interacting dissipative Rydberg gases. Here, a semi-classical approach reveals the emergence of a robust discrete time-crystalline phase in the thermodynamic limit in which metastability, dissipation, and inter-particle interactions play a crucial role. We perform large-scale numerical simulations in order to investigate the dependence on the range of interactions, from all-to-all to short ranged, and the scaling with system size of the lifetime of the time crystal.
arXiv comment5(+2) pages, 3(+1) figures
References in corpus (64)
- Quantum information with Rydberg atoms
- Efficient classical simulation of slightly entangled quantum computations
- Observation of a Discrete Time Crystal
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Floquet Time Crystals
- On the phase structure of driven quantum systems
- Quantum Time Crystals
- Discrete time crystals: rigidity, criticality, and realizations
- Equilibrium states of generic quantum systems subject to periodic driving
- Long-time behavior of periodically driven isolated interacting lattice systems
- Many-body localization in periodically driven systems
- Time crystals: a review
- Absence of Quantum Time Crystals
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Fate of many-body localization under periodic driving
- Quasiclassical calculations of BBR-induced depopulation rates and effective lifetimes of Rydberg nS, nP and nD alkali-metal atoms with n < 80
- Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
- Classical Time Crystals
- Modeling spontaneous breaking of time-translation symmetry
- Periodically driven ergodic and many-body localized quantum systems
- Boundary time crystals
- Impossibility of Spontaneously Rotating Time-Crystals: A No-Go Theorem
- Observation of Discrete-Time-Crystal Signatures in an Ordered Dipolar Many-Body System
- Pre-thermal phases of matter protected by time-translation symmetry
- Equilibration and Order in Quantum Floquet Matter
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
- Cooperative non-equilibrium phase transition in a dilute Rydberg ensemble
- Matrix product simulations of non-equilibrium steady states of quantum spin chains
- An experimental and theoretical guide to strongly interacting Rydberg gases
- Floquet time crystal in the Lipkin-Meshkov-Glick model
- Towards a theory of metastability in open quantum dynamics
- Antiferromagnetic phase transition in a nonequilibrium lattice of Rydberg atoms
- Collective quantum jumps of Rydberg atoms
- 1D Many-body localized Floquet systems II: Symmetry-Broken phases
- Variational principle for steady states of dissipative quantum many-body systems
- Space-time crystals of trapped ions
- Temporal order in periodically driven spins in star-shaped clusters
- Universal non-equilibrium properties of dissipative Rydberg gases
- Dynamical phases and intermittency of the dissipative quantum Ising model
- Full counting statistics and phase diagram of a dissipative Rydberg gas
- Critical Time Crystals in Dipolar Systems
- Comment on "Quantum Time Crystals": a new paradigm or just another proposal of perpetuum mobile?
- Suppressing and restoring the Dicke superradiance transition by dephasing and decay
- Clean Floquet Time Crystals: Models and Realizations in Cold Atoms
- Nonlinear quantum metrology of many-body open systems
- Superfluidity and Space-Time Translation Symmetry Breaking
- Bistability vs. Metastability in Driven Dissipative Rydberg Gases
- Sub-Poissonian statistics of Rydberg-interacting dark-state polaritons
- Onset of Floquet Thermalisation
- Time crystals: can diamagnetic currents drive a charge density wave into rotation?
- P NMR study of discrete time-crystalline signatures in an ordered crystal of ammonium dihydrogen phosphate
- Shattered Time: Can a Dissipative Time Crystal Survive Many-Body Correlations?
- The fate of a discrete time crystal in an open system
- Defining Time Crystals via Representation Theory
- Driven-dissipative many-body systems with mixed power-law interactions: Bistabilities and temperature-driven non-equilibrium phase transitions
- Metastability in an open quantum Ising model
- Comment on "Space-Time Crystals of Trapped Ions": And Yet it Moves Not !
- Prethermal time crystals in a one-dimensional periodically driven Floquet system
- Period-doubling in period- steady states
- Spatial correlations of one dimensional driven-dissipative systems of Rydberg atoms
- Uncovering the non-equilibrium phase structure of an open quantum spin system
- Quantum Time Crystal By Decoherence: Proposal With Incommensurate Charge Density Wave Ring
Cited by in corpus (113)
- Non-Hermitian Physics
- Discrete Time Crystals
- Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
- Colloquium: Quantum and Classical Discrete Time Crystals
- Constructing neural stationary states for open quantum many-body systems
- Dicke time crystals in driven-dissipative quantum many-body systems
- Quantum Time Crystals from Hamiltonians with Long-Range Interactions
- All-Optical Dissipative Discrete Time Crystals
- The isolated Heisenberg magnet as a quantum time crystal
- Dissipation Induced Nonstationarity in a Quantum Gas
- Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
- Floquet time crystals in clock models
- Emergent limit cycles and time crystal dynamics in an atom-cavity system
- Measurement-induced steering of quantum systems
- Higher-order and fractional discrete time crystals in clean long-range interacting systems
- Classical many-body time crystals
- A dissipative time crystal in an asymmetric non-linear photonic dimer
- On time crystallinity in dissipative Floquet systems
- Dissipative time crystal in a strongly interacting Rydberg gas
- From a continuous to a discrete time crystal in a dissipative atom-cavity system
- Continuous sensing and parameter estimation with the boundary time-crystal
- Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations
- Persistent coherent beating in coupled parametric oscillators
- Driven Bose-Hubbard dimer under nonlocal dissipation: A bistable time crystal
- Quantum metrology with boundary time crystals
- Time crystals in a shaken atom-cavity system
- Time crystallinity in open quantum systems
- Dynamical phases and quantum correlations in an emitter-waveguide system with feedback
- Bounds in Nonequilibrium Quantum Dynamics
- Classical Stochastic Discrete Time Crystals
- Homogeneous Floquet time crystal protected by gauge invariance
- Stationary State Degeneracy of Open Quantum Systems with Non-Abelian Symmetries
- Fractional Time Crystals
- Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
- Theory of coupled parametric oscillators beyond coupled Ising spins
- Building continuous time crystals from rare events
- Quantum trajectories of dissipative time-crystals
- Discrete time crystal in a finite chain of Rydberg atoms without disorder
- Absolutely Stable Spatiotemporal Order in Noisy Quantum Systems
- Mode softening in time-crystalline transitions of open quantum systems
- Stark time crystals: Symmetry breaking in space and time
- Rigorous bounds on dynamical response functions and time-translation symmetry breaking
- Periodically-driven facilitated high-efficiency dissipative entanglement with Rydberg atoms
- Parametric instability in coupled nonlinear microcavities
- A dissipative time crystal with or without symmetry breaking
- Signatures of discrete time-crystallinity in transport through an open Fermionic chain
- Phase diagram and optimal control for n-tupling discrete time crystal
- Entangled time-crystal phase in an open quantum light-matter system
- Strong zero modes in a class of generalised Ising spin ladders with plaquette interactions
- Experimental Realization of Discrete Time Quasi-Crystals
- Stochastic discrete time crystals: Entropy production and subharmonic synchronization
- Bistability and time crystals in long-ranged directed percolation
- Coherent dynamics in frustrated coupled parametric oscillators
- Higgs time crystal in a high- superconductor
- Dissipative prethermal discrete time crystal
- Chimera Time-Crystalline order in quantum spin networks
- Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
- Lack of a genuine time crystal in a chiral soliton model
- Nonequilibrium transition between dissipative time crystals
- Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance
- Subharmonic oscillations in stochastic systems under periodic driving
- Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
- Limit cycles in periodically driven open quantum systems
- Quantum dynamics of Dissipative Kerr solitons
- Oscillations in feedback driven systems: thermodynamics and noise
- Breakdown of Markovianity by interactions in stroboscopic Floquet-Lindblad dynamics under high-frequency drive
- Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving
- Unravelling Metastable Markovian Open Quantum Systems
- On the long-term stability of space-time crystals
- Feasible model for photo-induced interband pairing
- Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
- Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
- Time-crystalline behavior in an engineered spin chain
- Long-lived coherence in driven spin systems: from two to infinite spatial dimensions
- Observation of multiple steady states with engineered dissipation
- Nonuniform phases in the geometrically frustrated dissipative XYZ model
- Absolutely stable time crystals at finite temperature
- Anderson Molecules
- Dynamic renormalization group theory for open Floquet systems
- Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain Without Disorder
- Many-body nonequilibrium dynamics in a self-induced Floquet system
- Theory of Metastability in Discrete-Time Open Quantum Dynamics
- Designing open quantum systems for enabling quantum enhanced sensing through classical measurements
- 3D classical and quantum stable structures of dissipative systems
- Chaos simplifies quantum friction
- Prolonging a discrete time crystal by quantum-classical feedback
- Correspondence between dissipative phase transitions of light and time crystals
- Discrete time-crystalline order in Bose-Hubbard model with dissipation
- Dephasing-induced growth of discrete crystalline order in spin networks
- Time Crystals from single-molecule magnet arrays
- Discrete time crystal made of topological edge magnons
- Microwave control of collective quantum jump statistics of a dissipative Rydberg gas
- Subharmonic spin correlations and spectral pairing in Floquet time crystals
- Programmable time crystals from higher-order packing fields
- The time crystal phase emerges from the qubit network under unitary random operations
- A new method for driven-dissipative problems: Keldysh-Heisenberg equations
- Thermodynamics of coupled time crystals with an application to energy storage
- Stable time rondeau crystals in dissipative many-body systems
- Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
- Kinetically constrained models constructed from dissipative quantum dynamics
- Symmetry-induced fragmentation and dissipative time crystal
- Resolving mean-field solutions of dissipative phase transitions using permutational symmetry
- Information scrambling and entanglement dynamics in Floquet Time Crystals
- Discrete time crystals in the presence of non-Markovian dynamics
- Critical behavior of a programmable time-crystal lattice gas
- Dissipative quantum North-East-Center model: steady-state phase diagram, universality and nonergodic dynamics
- Metastable quantum entrainment
- Metastable discrete time-crystal resonances in a dissipative central spin system
- The role of atomic interactions in cavity-induced continuous time crystals
- 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
- Apparent bistability from weak long-range interactions
- Unpolarized prethermal discrete time crystal