论文标题

Floquet-Bloch疤痕强制执行的离散时间晶体

Discrete time crystals enforced by Floquet-Bloch scars

论文作者

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

论文摘要

我们在分析上确定了一类新的量子疤痕,该量子疤痕受时空翻译对称性保护,被称为Floquet-Bloch疤痕。它们与以前的(准)静态疤痕区分开,仅在浮雕系统中进行刚性频谱配对,在浮雕系统中,强烈的相互作用和驱动器将准静脉校正均衡到所有疤痕,并保持其光谱间距,以抵抗通用双线性扰动。然后,在与最近的冷原子实验相关的修剪度kagome晶格模型中进行了数值验证的疤痕和刚性离散时间晶体(DTC)振荡。我们的分析解决方案提供了一种潜在的方案,以了解更多通用翻译不变DTC的机制。

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.

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