Quantum and Classical Temporal Correlations in(1+1)DQuantum Cellular Automata,Physical Review Letters

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Quantum and Classical Temporal Correlations in(1+1)DQuantum Cellular Automata
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-12-01 , DOI: 10.1103/physrevlett.127.230502
Edward Gillman _{1,

2} , Federico Carollo ₃ , Igor Lesanovsky _{1,

2,

3}

Affiliation

We employ (

1 + 1

)-dimensional quantum cellular automata to study the evolution of entanglement and coherence near criticality in quantum systems that display nonequilibrium steady-state phase transitions. This construction permits direct access to the entire space-time structure of the underlying nonequilibrium dynamics, and allows for the analysis of unconventional correlations, such as entanglement in the time direction between the “present” and the “past.” We show how the uniquely quantum part of these correlations—the coherence—can be isolated and that, close to criticality, its dynamics displays a universal power-law behavior on approach to stationarity. Focusing on quantum generalizations of classical nonequilibrium systems: the Domany-Kinzel cellular automaton and the Bagnoli-Boccara-Rechtman model, we estimate the universal critical exponents for both the entanglement and coherence. As these models belong to the one-dimensional directed percolation universality class, the latter provides a key new critical exponent, one that is unique to quantum systems.

中文翻译：

(1+1)DQuantum 元胞自动机中的量子和经典时间相关性

我们雇用（

1 + 1

) 维量子细胞自动机，用于研究显示非平衡稳态相变的量子系统中接近临界状态的纠缠和相干性的演化。这种结构允许直接访问潜在的非平衡动力学的整个时空结构，并允许分析非常规的相关性，例如“现在”和“过去”在时间方向上的纠缠。我们展示了这些相关性的独特量子部分——相干性——是如何被隔离的，并且在接近临界状态时，它的动力学在接近平稳性时表现出普遍的幂律行为。专注于经典非平衡系统的量子概括：Domany-Kinzel 元胞自动机和 Bagnoli-Boccara-Rechtman 模型，我们估计纠缠和相干性的通用临界指数。由于这些模型属于一维定向渗透普适性类，后者提供了一个关键的新临界指数，这是量子系统独有的。

更新日期：2021-12-01

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