# Floquet Time Crystals.

@article{Else2016FloquetTC, title={Floquet Time Crystals.}, author={Dominic V. Else and Bela Bauer and C. Nayak}, journal={Physical review letters}, year={2016}, volume={117 9}, pages={ 090402 } }

We define what it means for time translation symmetry to be spontaneously broken in a quantum system and show with analytical arguments and numerical simulations that this occurs in a large class of many-body-localized driven systems with discrete time-translation symmetry.

## 486 Citations

### Genralised Floquet Time Crystal Systems

- Physics
- 2017

Time translational symmetry breaking is a possibility explored only in the recent past. In this report, we first review a paper by Else, Bauer and Nayak which defines the notion of time translational…

### Boundary Time Crystals.

- PhysicsPhysical review letters
- 2018

This work introduces boundary time crystals and analyzes in detail a solvable model where an accurate scaling analysis can be performed.

### Condensed-matter physics: Marching to a different quantum beat

- PhysicsNature
- 2017

Two experiments have found evidence for a Floquet time crystal, which is characterized by persistent in‐phase oscillations, and this work aims to characterize this crystal as aperiodic oscillator.

### Time crystals in periodically driven systems

- PhysicsPhysics Today
- 2018

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

### Equilibration and order in quantum Floquet matter

- Physics
- 2017

Over the past decade, remarkable progress has occurred in the physics of closed quantum systems away from equilibrium, culminating in the recent experimental realization of so-called time crystals.…

### Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory

- PhysicsPhysical Review X
- 2018

A new theory explains observed connections between the thermal phase in many-body quantum systems and random matrix theory, paving the way to a deeper understanding of this phase.

### Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation

- Physics
- 2021

The authors develop a general method for the computation of temporal correlation functions and the corresponding spectra in time-periodic open quantum systems based on the Floquet theory. The authors…

### Dynamical Enhancement of Symmetries in Many-Body Systems.

- PhysicsPhysical review letters
- 2020

A dynamical decoupling protocol for accurately generating local and global symmetries in general many-body systems is constructed and can be used to realize a wide variety of quantum models, and nonequilibrium quantum phases.

### Time-Crystalline Topological Superconductors.

- PhysicsPhysical review letters
- 2020

This work introduces one-dimensional time-crystalline topological superconductors, for which time-translation symmetry breaking and topological physics intertwine-yielding anomalous Floquet Majorana modes that are not possible in free-fermion systems.

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