Discrete Time-Crystalline Order in Cavity and Circuit QED Systems.

  title={Discrete Time-Crystalline Order in Cavity and Circuit QED Systems.},
  author={Zongping Gong and Ryusuke Hamazaki and Masahito Ueda},
  journal={Physical review letters},
  volume={120 4},
Discrete time crystals are a recently proposed and experimentally observed out-of-equilibrium dynamical phase of Floquet systems, where the stroboscopic dynamics 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… 

Figures and Tables from this paper

Dissipative discrete time crystals

Periodically driven quantum systems host a range of non-equilibrium phenomena which are unrealizable at equilibrium. Discrete time-translational symmetry in a periodically driven many-body system can

Time crystallinity in open quantum systems

A way to identify an open system time crystal based on a single object: the Floquet propagator is proposed and time-crystalline behavior in an explicitly short-range interacting open system is shown and the crucial role of the nature of the decay processes is demonstrated.

Signatures of discrete time crystalline order in dissipative spin ensembles

Discrete time-translational symmetry in a periodically driven many-body system can be spontaneously broken to form a discrete time crystal, an exotic new phase of matter. We present observations

Time crystals in a shaken atom-cavity system

We demonstrate the emergence of a time crystal of atoms in a high-finesse optical cavity driven by a phase-modulated transverse pump field, resulting in a shaken lattice. This shaken system exhibits

Time crystals: Analysis of experimental conditions

Time crystals are quantum many-body systems which are able to self-organize their motion in a periodic way in time. Discrete time crystals have been experimentally demonstrated in spin systems.

Dynamical phase transition in Floquet optical bistable systems: An approach from finite-size quantum systems

Dynamical response of an optical bistable system to a time-periodic driving field is studied. We found a phase transition in the structure of limit cycle as a function of the frequency of the driving

Dynamical quantum phase transitions in discrete time crystals

Discrete time crystals are related to non-equilibrium dynamics of periodically driven quantum many-body systems where the discrete time translation symmetry of the Hamiltonian is spontaneously broken

From a continuous to a discrete time crystal in a dissipative atom-cavity system

We propose the dynamical stabilization of a nonequilibrium order in a driven dissipative system comprised an atomic Bose–Einstein condensate inside a high finesse optical cavity, pumped with an

The role of fluctuations in quantum and classical time crystals

Discrete time crystals (DTCs) are a many-body state of matter whose dynamics are slower than the forces acting on it. The same is true for classical systems with period-doubling bifurcations. Hence,

Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models.

These time crystals arise only from the Floquet dynamical symmetry and thus appear in both dissipative and isolated systems and in the presence of disorder as long as the FDS is respected, and their experimental realizations in cold atom experiments are discussed.



Observation of discrete time-crystalline order in a disordered dipolar many-body system

This work observes long-lived temporal correlations, experimentally identifies the phase boundary and finds that the temporal order is protected by strong interactions, which opens the door to exploring dynamical phases of matter and controlling interacting, disordered many-body systems.

Discrete Time Crystals: Rigidity, Criticality, and Realizations.

A simple model for a one-dimensional discrete time crystal which explicitly reveals the rigidity of the emergent oscillations as the drive is varied is considered and a blueprint based upon a one dimensional chain of trapped ions is proposed.

Observation of a discrete time crystal

The experimental observation of a discrete time crystal, in an interacting spin chain of trapped atomic ions, is presented, which opens the door to the study of systems with long-range spatio-temporal correlations and novel phases of matter that emerge under intrinsically non-equilibrium conditions.

Dynamical many-body phases of the parametrically driven, dissipative Dicke model

The dissipative Dicke model exhibits a fascinating out-of-equilibrium many-body phase transition as a function of a coupling between a driven photonic cavity and numerous two-level atoms. We study

Dynamics of nonequilibrium Dicke models

Motivated by experiments observing self-organization of cold atoms in optical cavities, we investigate the collective dynamics of the associated nonequilibrium Dicke model. The model displays a rich

Equilibrium states of generic quantum systems subject to periodic driving.

It is shown that for generic nonintegrable interacting systems, local observables become independent of the initial state entirely.

Prethermal time crystals in a one-dimensional periodically driven Floquet system

Motivated by experimental observations of time-symmetry breaking behavior in a periodically driven (Floquet) system, we study a one-dimensional spin model to explore the stability of such Floquet

Chaos and the quantum phase transition in the Dicke model.

  • C. EmaryT. Brandes
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
A semiclassical Dicke model is derived that exhibits analogues of all the important features of the quantum model, such as the phase transition and the concurrent onset of chaos, and it is demonstrated that the system undergoes a transition from quasi-integrability to quantum chaotic.

Critical Time Crystals in Dipolar Systems.

The authors demonstrate the existence of a novel, critical DTC regime that is stabilized not by many-body localization but rather by slow, critical dynamics, and shows that the DTC response can be used as a sensitive probe of nonequilibrium quantum matter.

Critical dynamical properties of a first-order dissipative phase transition

We theoretically investigate the critical properties of a single driven-dissipative nonlinear photon mode. In a well-defined thermodynamical limit of large excitation numbers, the exact quantum