# Absolute stability and spatiotemporal long-range order in Floquet systems

@article{Keyserlingk2016AbsoluteSA, title={Absolute stability and spatiotemporal long-range order in Floquet systems}, author={C. W. von Keyserlingk and Vedika Khemani and S. L. Sondhi}, journal={Physical Review B}, year={2016}, volume={94}, pages={085112} }

Recent work has shown that a variety of novel phases of matter arise in periodically driven Floquet systems. Among these are many-body localized phases which spontaneously break global symmetries and exhibit novel multiplets of Floquet eigenstates separated by quantized quasienergies. Here we show that these properties are stable to all weak local deformations of the underlying Floquet drives -- including those that explicitly break the defining symmetries -- and that the models considered…

## 184 Citations

### Long-Lived Interacting Phases of Matter Protected by Multiple Time-Translation Symmetries in Quasiperiodically Driven Systems

- PhysicsPhysical Review X
- 2020

We show how a large family of interacting nonequilibrium phases of matter can arise from the presence of multiple time-translation symmetries, which occur by quasiperiodically driving an isolated…

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

- PhysicsNature
- 2017

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.

### Nonequilibrium quantum order at infinite temperature: Spatiotemporal correlations and their generating functions

- PhysicsPhysical Review B
- 2018

Localisation-protected quantum order extends the idea of symmetry breaking and order in ground states to individual eigenstates at arbitrary energy. Examples include many-body localised static and…

### 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…

### Shattered time: can a dissipative time crystal survive many-body correlations?

- PhysicsNew Journal of Physics
- 2018

We investigate the emergence of a time crystal (TC) in a driven dissipative many-body spin array. In this system the interplay between incoherent spin pumping and collective emission stabilizes a…

### Floquet quantum criticality

- PhysicsProceedings of the National Academy of Sciences
- 2018

Significance Periodically driven “Floquet” systems are nonequilibrium systems whose time translation symmetry can give rise to a rich dynamical phase structure. In the presence of quenched disorder,…

### Topology and localization of a periodically driven Kitaev model

- PhysicsPhysical Review B
- 2019

Periodically driven quantum many-body systems support anomalous topological phases of matter, which cannot be realized by static systems. In many cases, these anomalous phases can be many-body…

### Infinite family of three-dimensional Floquet topological paramagnets

- PhysicsPhysical Review B
- 2018

We uncover an infinite family of time-reversal symmetric 3d interacting topological insulators of bosons or spins, in time-periodically driven systems, which we term Floquet topological paramagnets…

### Pre-thermal phases of matter protected by time-translation symmetry

- Mathematics
- 2016

In a periodically driven (Floquet) system, there is the possibility for new phases of matter, not present in stationary systems, protected by discrete time-translation symmetry. This includes…

### Time-crystalline eigenstate order on a quantum processor

- PhysicsNature
- 2021

Quantum many-body systems display rich phase structure in their low-temperature equilibrium states1. However, much of nature is not in thermal equilibrium. Remarkably, it was recently predicted that…

## References

SHOWING 1-6 OF 6 REFERENCES

### 63 We thank Christian Gross for discussions on possible experiments

### unitaries it follows by continuity that θ rλ = −1 in the large system limit

- Rev. Mod. Phys
- 2007