# Time crystals in periodically driven systems

@article{Yao2018TimeCI, title={Time crystals in periodically driven systems}, author={Norman Y. Yao and C. Nayak}, journal={Physics Today}, year={2018} }

When the discrete time-translation symmetry of isolated, periodically driven systems is spontaneously broken, a new phase of matter can emerge.

## 44 Citations

An inexpensive crystal makes a fine quantum time machine

- PhysicsPhysics Today
- 2019

To understand the intricacies of thermodynamics in the quantum regime, it helps to be able to turn back the clock.

Classical discrete time crystals

- PhysicsNature Physics
- 2020

The spontaneous breaking of time-translation symmetry in periodically driven quantum systems leads to a new phase of matter: the discrete time crystal (DTC). This phase exhibits collective…

Emergent limit cycles and time crystal dynamics in an atom-cavity system

- PhysicsPhysical Review A
- 2019

We propose an experimental realization of a time crystal using an atomic Bose-Einstein condensate in a high finesse optical cavity pumped with laser light detuned to the blue side of the relevant…

Classical Many-Body Time Crystals.

- Physics, Computer SciencePhysical review letters
- 2019

This work provides a simple and pedagogical framework by which to obtain many-body time crystals using parametrically coupled resonators and presents a clear distinction between single-mode time-translation symmetry breaking and a situation where an extensive number of degrees of freedom undergo the transition.

Supplemental Material for Classical many-body time crystals

- Physics
- 2019

Discrete time crystals are a many-body state of matter where the extensive system’s dynamics are slower than the forces acting on it. Nowadays, there is a growing debate regarding the specific…

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,…

Time crystal dynamics in a weakly modulated stochastic time delayed system

- PhysicsScientific reports
- 2022

Time crystal oscillations in interacting, periodically driven many-particle systems are highly regular oscillations that persist for long periods of time, are robust to perturbations, and whose…

Response of a quantum disordered spin system to a local periodic drive

- PhysicsPhysical Review B
- 2020

We consider a one dimensional spin chain system with quenched disorder and in the presence of a local periodic drive. We study the time evolution of the system in the Floquet basis and evaluate the…

Persistent Coherent Beating in Coupled Parametric Oscillators.

- PhysicsPhysical review letters
- 2019

A new dynamical regime is demonstrated within the simplest network-two coupled parametric oscillators, where the oscillators never reach a steady state, but show persistent, full-scale, coherent beats, whose frequency reflects the coupling properties and strength.

Signatures of discrete time-crystallinity in transport through quantum dot arrays

- Physics
- 2021

Discrete time-crystals are periodically driven quantum many-body systems with broken discretetime translational symmetry. Measurements of time-crystallinity are currently limited to optical…

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