# Floquet Time Crystals.

@article{Else2016FloquetTC, title={Floquet Time Crystals.}, author={Dominic Victor 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.

## 413 Citations

Genralised Floquet Time Crystal Systems

- 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…

Condensed-matter physics: Marching to a different quantum beat

- Physics, MedicineNature
- 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.

Boundary Time Crystals.

- Medicine, 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.

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

- Mathematics, 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.

Time-Crystalline Topological Superconductors.

- Physics, Materials SciencePhysical 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.

Generalized criteria of symmetry breaking. A strategy for quantum time crystals

- Physics
- 2019

The aim of this paper is to propose a criterion of spontaneous symmetry breaking that makes reference to the properties of pure phases defined by a translationally invariant state. By avoiding any…

Discrete time quasicrystals

- PhysicsPhysical Review B
- 2019

Periodically driven quantum many-body systems can spontaneously reorganize their motion and start moving with a period different than the driving period. These are ``discrete time crystals'' and they…

Ancilla assisted Discrete Time Crystals in Non-interacting Spin Systems

- Physics
- 2021

We show here through experiments and exact analytical models the emergence of discrete time translation symmetry breaking in non-interacting systems. These time-periodic structures become stable…

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