Phase Structure of Driven Quantum Systems.

@article{Khemani2015PhaseSO,
  title={Phase Structure of Driven Quantum Systems.},
  author={Vedika Khemani and Achilleas Lazarides and Roderich Moessner and S. L. Sondhi},
  journal={Physical review letters},
  year={2015},
  volume={116 25},
  pages={
          250401
        }
}
Clean and interacting periodically driven systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can exhibit distinct ordered phases delineated by sharp transitions. Some of these are analogs of equilibrium states with broken symmetries and topological order, while others-genuinely new to the Floquet problem-are characterized by order and nontrivial periodic dynamics… 

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References

SHOWING 1-3 OF 3 REFERENCES

For a recent review see 50 and references therein

    New J

    • Phys. 17, 125014
    • 2015

    Science 349

    • 842 (2015). PRL 116, 250401
    • 2016