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… 

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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

    We use the term "spontaneously break unitary global symmetries" to mean that the eigenstates exhibit the longrange order characteristic of spontaneous symmetry breaking

      While spatiotemporal order has been discussed for classical systems out of equilibrium, e.g. Ref. 69, to our knowledge this is the first appearance of such order for quantum systems

        These symmetries have similar implications, which we do not discuss here for brevity

          We thank Ehud Altman for this incisive question