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Entanglement dynamics and ergodicity breaking in a quantum cellular automaton
Physical Review B ( IF 3.2 ) Pub Date : 2022-09-28 , DOI: 10.1103/physrevb.106.104309
Kevissen Sellapillay , Alberto D. Verga , Giuseppe Di Molfetta

Ergodicity breaking is observed in the blockade regime of Rydberg atom arrays, in the form of low entanglement eigenstates known as scars, which fail to thermalize. The signature of these states persists in periodically driven systems, where they coexist with an extensive number of chaotic states. Here we investigate a quantum cellular automaton based on the classical rule that updates a site if its two neighbors are in the lower state. We show that the breaking of ergodicity extends to chaotic states. The dynamical breaking of ergodicity is controlled by chiral quasiparticle excitations which propagate entanglement. Evidence of nonlocal entanglement is found, showing that these nonthermal chaotic states may be useful to quantum computation.

中文翻译:

量子元胞自动机中的纠缠动力学和遍历性破坏

在里德堡原子阵列的封锁状态中观察到遍历性破坏,其形式为称为疤痕的低纠缠本征态,无法热化。这些状态的特征持续存在于周期性驱动的系统中,它们与大量混沌状态共存。在这里,我们研究了一个基于经典规则的量子元胞自动机,如果它的两个邻居处于较低状态,则更新一个站点。我们表明遍历性的破坏延伸到混沌状态。遍历性的动态破坏由传播纠缠的手性准粒子激发控制。发现了非局部纠缠的证据,表明这些非热混沌状态可能对量子计算有用。
更新日期:2022-09-28
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