论文标题
$（1+1）$ - 尺寸量子蜂窝自动机的非平衡相转换具有可控量子相关性
Non-equilibrium phase transitions in $(1+1)$-dimensional quantum cellular automata with controllable quantum correlations
论文作者
论文摘要
由基于Rydberg Atoms的量子模拟器实验开发的最新进展，我们介绍并研究了$（1+1）$ - 尺寸量子量子蜂窝式自动机的动力学。这些非平衡多体模型是Domany-Kinzel细胞自动机的量子概括，具有两个关键特征：尽管是孤立的系统，它们显示出固定行为和非平衡相变。此外，它们允许受控局部量子相关性，从而允许量子对动态和相变的影响。我们表明，预计的纠缠态状态张量网络允许对细胞自动机的自然有效表示。在这里，动力学的量子性和复杂性的程度反映在收缩张量网络的困难中。
Motivated by recent progress in the experimental development of quantum simulators based on Rydberg atoms, we introduce and investigate the dynamics of a class of $(1+1)$-dimensional quantum cellular automata. These non-equilibrium many-body models, which are quantum generalisations of the Domany-Kinzel cellular automaton, possess two key features: they display stationary behaviour and non-equilibrium phase transitions despite being isolated systems. Moreover, they permit the controlled introduction of local quantum correlations, which allows for the impact of quantumness on the dynamics and phase transition to be assessed. We show that projected entangled pair state tensor networks permit a natural and efficient representation of the cellular automaton. Here, the degree of quantumness and complexity of the dynamics is reflected in the difficulty of contracting the tensor network.
