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

@article{Gong2017DiscreteTO, title={Discrete Time-Crystalline Order in Cavity and Circuit QED Systems.}, author={Zongping Gong and Ryusuke Hamazaki and Masahito Ueda}, journal={Physical review letters}, year={2017}, volume={120 4}, pages={ 040404 } }

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…

## 116 Citations

### Discrete Time Crystals in the Absence of Manifest Symmetries or Disorder in Open Quantum Systems.

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A semiclassical approach reveals the emergence of a robust discrete time-crystalline phase in the thermodynamic limit in which metastability, dissipation, and interparticle interactions play a crucial role.

### Dissipative discrete time crystals

- Physics
- 2018

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

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- 2020

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

- PhysicsNew Journal of Physics
- 2020

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

- PhysicsPhysical Review A
- 2019

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

- PhysicsPhysical Review A
- 2018

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

- PhysicsPhysical Review A
- 2020

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

- PhysicsPhysical Review A
- 2018

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

- PhysicsNew Journal of Physics
- 2020

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

- Physics
- 2022

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,…

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