English

Discrete time crystals enforced by Floquet-Bloch scars

Quantum Gases 2022-09-20 v2 Other Condensed Matter Statistical Mechanics Quantum Physics

Abstract

We analytically identify a new class of quantum scars protected by spatiotemporal translation symmetries, dubbed Floquet-Bloch scars. They distinguish from previous (quasi-)static scars by a rigid spectral pairing only possible in Floquet systems, where strong interaction and drivings equalize the quasienergy corrections to all scars and maintain their spectral spacings against generic bilinear perturbations. Scars then enforce the spatial localization and rigid discrete time crystal (DTC) oscillations as verified numerically in a trimerized kagome lattice model relevant to recent cold atom experiments. Our analytical solutions offer a potential scheme to understand the mechanisms for more generic translation-invariant DTCs.

Keywords

Cite

@article{arxiv.2205.07919,
  title  = {Discrete time crystals enforced by Floquet-Bloch scars},
  author = {Biao Huang and Tsz-Him Leung and Dan Stamper-Kurn and W. Vincent Liu},
  journal= {arXiv preprint arXiv:2205.07919},
  year   = {2022}
}

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6+11 pages