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

@article{Else2016PrethermalPO,
  title={Pre-thermal phases of matter protected by time-translation symmetry},
  author={Dominic Victor Else and Bela Bauer and C. Nayak},
  journal={arXiv: Statistical Mechanics},
  year={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 topological phases protected in part by time-translation symmetry, as well as phases distinguished by the spontaneous breaking of this symmetry, dubbed "Floquet time crystals". We show that such phases of matter can exist in the pre-thermal regime of periodically-driven systems, which exists generically… 

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References

SHOWING 1-10 OF 101 REFERENCES
Absolute stability and spatiotemporal long-range order in Floquet systems
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
Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
This work explores a fundamental dynamical structure for a wide range of many-body quantum systems under periodic driving. Generically, in the thermodynamic limit, such systems are known to heat up
Many-body localization in periodically driven systems.
TLDR
An effective model of the MBL phase is proposed in terms of an extensive number of emergent local integrals of motion, which naturally explains the spectral and dynamical properties of this phase.
Classification of topological phases in periodically driven interacting systems
We consider topological phases in periodically driven (Floquet) systems exhibiting many-body localization, protected by a symmetry $G$. We argue for a general correspondence between such phases and
On the broken time translation symmetry in macroscopic systems: Precessing states and off-diagonal long-range order
The broken symmetry state with off-diagonal long-range order (ODLRO), which is characterized by the vacuum expectation value of the operator of creation of the conserved quantum number Q, has the
Topological classification of interacting 1D Floquet phases
Periodic driving of a quantum system can enable new topological phases with no analog in static systems. In this paper we systematically classify one-dimensional topological and symmetry-protected
Abelian Floquet symmetry-protected topological phases in one dimension
Time-dependent systems have recently been shown to support novel types of topological order that cannot be realised in static systems. In this paper, we consider a range of time-dependent,
Phase structure of one-dimensional interacting Floquet systems. I. Abelian symmetry-protected topological phases
Recent work suggests that a sharp definition of `phase of matter' can be given for some quantum systems out of equilibrium---first for many-body localized systems with time independent Hamiltonians
Long-time behavior of periodically driven isolated interacting lattice systems
We study the dynamics of isolated interacting spin chains that are periodically driven by sudden quenches. Using full exact diagonalization of finite chains, we show that these systems exhibit three
Phase structure of one-dimensional interacting Floquet systems. II. Symmetry-broken phases
Recent work suggests that a sharp definition of ``phase of matter'' can be given for periodically driven ``Floquet'' quantum systems exhibiting many-body localization. In this work, we propose a
...
1
2
3
4
5
...