Discrete time crystals enforced by Floquet-Bloch scars

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.

6+11 pages

References in corpus (7)

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• Key Observable for Linear Thermalization
• Engineering subharmonic responses beyond prethermalization via Floquet scar states
• Hilbert Space Fragmentation and Subspace Scar Time-Crystallinity in Driven Homogeneous Central-Spin Models
• Discrete time crystals enhanced by Stark potentials in Rydberg atom arrays
• Nonperturbative decay of bipartite discrete time crystals
• Quantum dynamics of a spin model with an extensive degeneracy
• Discrete time crystal for periodic-field sensing with quantum-enhanced precision
• Fock space prethermalization and time-crystalline order on a quantum processor
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain