论文标题
从经典细胞自动机的变形中的非erervodic量子动力学
Nonergodic Quantum Dynamics from Deformations of Classical Cellular Automata
论文作者
论文摘要
经典的可逆细胞自动机（CAS）描述了有限状态空间中经典自由度的离散时间动力学，尽管经典混乱，但仍可以表现出精确的，非热的量子本征。我们表明，每个经典的CA都定义了一个具有确切的非热特征状态的一般不可汇总，定期驱动（floquet）量子动力学的家族。从某种意义上说，这些浮点动力学是非效应的，因为某些产物在周期性的经典轨道上无法热化，而通用初始状态在量子混沌系统中如预期的那样热量。我们证明，这些效果的某些特征可以基于封锁制度中的rydberg原子在量子模拟器中进行探测。这些结果将经典CAS作为母体模型建立，用于一类具有罕见非热特征状态的量子混沌系统。
Classical reversible cellular automata (CAs), which describe the discrete-time dynamics of classical degrees of freedom in a finite state-space, can exhibit exact, nonthermal quantum eigenstates despite being classically chaotic. We show that every classical CA defines a family of generically non-integrable, periodically-driven (Floquet) quantum dynamics with exact, nonthermal eigenstates. These Floquet dynamics are nonergodic in the sense that certain product states on a periodic classical orbit fail to thermalize, while generic initial states thermalize as expected in a quantum chaotic system. We demonstrate that some signatures of these effects can be probed in quantum simulators based on Rydberg atoms in the blockade regime. These results establish classical CAs as parent models for a class of quantum chaotic systems with rare nonthermal eigenstates.
