# Pre-thermal Time Crystals and Floquet topological phases without disorder

@article{Else2016PrethermalTC, title={Pre-thermal Time Crystals and Floquet topological phases without disorder}, author={Dominic V. Else and Bela Bauer and C. Nayak}, journal={arXiv: Statistical Mechanics}, year={2016} }

We show that both discrete and continuous time-translation symmetry can be broken in the pre-thermal regime of quantum systems that eventually thermalize. We prove a theorem that states that such "time crystals" persist until times that are nearly exponentially-long in the couplings and, in driven systems, the drive frequency. After this thermalization time, the time-translational symmetry breaking oscillations fade away. However, during the time interval prior to that, a time crystal can exist…

## 8 Citations

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.

Observation of a discrete time crystal

- PhysicsNature
- 2017

The experimental observation of a discrete time crystal, in an interacting spin chain of trapped atomic ions, is presented, which opens the door to the study of systems with long-range spatio-temporal correlations and novel phases of matter that emerge under intrinsically non-equilibrium conditions.

Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system

- PhysicsScientific reports
- 2017

The results demonstrate the parametric stability of prethermal states in a many-body system driven at frequencies that are comparable to its microscopic scales, which paves the way for realizing exotic quantum phases, such as time crystals or interacting topological phases, in the preThermal regime of interacting Floquet systems.

Time crystals: a review.

- PhysicsReports on progress in physics. Physical Society
- 2018

The struggle to observe discrete time crystals is reviewed here together with propositions that generalize this concept introducing condensed matter like physics in the time domain.

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- Physics
- 2018

Quantum many-body systems far from equilibrium can show a wide range of different phenomena. Understanding non-equilibrium many-body systems is a non-trivial task, as one has to deal with a…

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- PhysicsReports on progress in physics. Physical Society
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This work explores how the interplay of symmetry and dimensionality with many-body localization constrains its role in stabilizing topological phases out of equilibrium.

Topological frequency conversion in strongly driven quantum systems

- Physics
- 2017

When a physical system is subjected to a strong external multifrequency drive, its dynamics can be conveniently represented in the multidimensional Floquet lattice. The number of Floquet lattice…

Minimalist approach to the classification of symmetry protected topological phases

- PhysicsJournal of Physics A: Mathematical and Theoretical
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A number of proposals with differing predictions (e.g. Borel group cohomology, oriented cobordism, group supercohomology, spin cobordism, etc.) have been made for the classification of symmetry…

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