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. 

Figures from this paper

Genralised Floquet Time Crystal Systems

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.

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

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

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

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

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

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.

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.

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.
...

References

SHOWING 1-10 OF 11 REFERENCES

A and V

Science 349

  • 842
  • 2015

Communications in Mathematical Physics 309

  • 835
  • 2012

Radiation Emitted from a TTSB System at Lowest Order in Perturbation Theory

    Pis’ma Zh

    • Eksp. Teor. Fiz. 98, 549 (2013) [JETP Lett. 98, 491
    • 2013

    Annals of Physics 321

    • 1126
    • 2006

    Europhys

    • Lett. 103, 57008
    • 2013

    Physical Review Letters 63

    • 1989

    JETP Letters 98

    • 491
    • 2013

    Mech: Theor

    • Exp. 9, 09005
    • 2013