论文标题
“规则54”量子蜂窝自动机中的精确热化动力学
Exact thermalization dynamics in the "Rule 54" Quantum Cellular Automaton
论文作者
论文摘要
我们研究称为“规则54”的量子细胞自动机的不平衡动力学。对于一类低输入初始状态，我们就简单的量子通道对全球演化对有限子系统的影响提供了分析描述，该量子通道可访问显微镜水平的完整热化动力学。例如，我们为局部可观察物和rényi熵的演变提供了分析公式。我们表明，与其他可以解决的量子电路的其他已知示例相反，规则54并不像在自己的部分上作为简单的马尔可夫浴室，并且显示出典型的可相互作用的可相互作用的可相互作用的非平衡特征，例如有限的松弛率和相互作用诱导的敷料效应。我们的研究提供了一个罕见的例子，可以在微观水平上精确求解完整的热化动力学。
We study the out-of-equilibrium dynamics of the quantum cellular automaton known as "Rule 54". For a class of low-entangled initial states, we provide an analytic description of the effect of the global evolution on finite subsystems in terms of simple quantum channels, which gives access to the full thermalization dynamics at the microscopic level. As an example, we provide analytic formulae for the evolution of local observables and Rényi entropies. We show that, in contrast to other known examples of exactly solvable quantum circuits, Rule 54 does not behave as a simple Markovian bath on its own parts, and displays typical non-equilibrium features of interacting integrable many-body quantum systems such as finite relaxation rate and interaction-induced dressing effects. Our study provides a rare example where the full thermalization dynamics can be solved exactly at the microscopic level.
