非周期 kicked 多体动力学中的预热化
Prethermalization in aperiodically kicked many-body dynamics
AI总结：
研究非周期 kicked 多体系统加热动力学，证明准周期或随机序列驱动可在非高频区消除加热通道，并在经典 kicked rotor chain 中发现长寿命预热化区域及寿命幂律。
摘要：
驱动多体系统通常由于缺乏能量守恒而发生加热。时间周期性驱动可以抑制加热，但对于较不规则的驱动协议所知甚少。在本工作中，我们研究了非周期 kicked 系统的加热动力学，具体是由准周期 Thue-Morse 或具有 $n$-多极时间相关性的一族随机序列驱动的系统。我们证明，即使在远离高频区域，多个加热通道也能被消除。被消除的通道数量随多极阶数 $n$ 增加。我们在经典 kicked rotor chain 中说明了这一点，并发现了一个长寿命的预热化区域。当静态 Hamiltonian 仅包含动能时，预热化寿命 $t^*$ 强烈依赖于驱动的时间相关性，与 kick 强度呈幂律关系 $t^*\sim K^{-2n}$，对此我们可用简单的线性化论证来解释。
英文摘要：
Driven many-body systems typically experience heating due to the lack of energy conservation. Heating may be suppressed for time-periodic drives, but little is known for less regular drive protocols. In this work, we investigate the heating dynamics in aperiodically kicked systems, specifically those driven by quasi-periodic Thue-Morse or a family of random sequences with $n$-multipolar temporal correlations. We demonstrate that multiple heating channels can be eliminated even away from the high-frequency regime. The number of eliminated channels increases with multipolar order $n$. We illustrate this in a classical kicked rotor chain where we find a long-lived prethermal regime. When the static Hamiltonian only involves the kinetic energy, the prethermal lifetime $t^*$ can strongly depend on the temporal correlations of the drive, with a power-law dependence on the kick strength $t^*\sim K^{-2n}$, for which we can account using a simple linearization argument.
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