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Discrete Time Crystals Enforced by Floquet-Bloch Scars

2022; American Physical Society; Volume: 129; Issue: 13 Linguagem: Inglês

10.1103/physrevlett.129.133001

1092-0145

Biao Huang, Tsz-Him Leung, Dan Stamper-Kurn, W. Vincent Liu,

Cold Atom Physics and Bose-Einstein Condensates

We analytically identify a new class of quantum scars protected by spatiotemporal translation symmetries, dubbed Floquet-Bloch scars. They are distinguished 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.