Localization and slow-thermalization in a cluster spin model
Localization and slow-thermalization in a cluster spin model
复制标题
团簇自旋模型中的局域化和慢热化
DOI：
10.1088/1367-2630/ac7d01
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发表时间：
2022
影响因子：
3.3
通讯作者：
Ichinose Ikuo
中科院分区：
文献类型：
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作者：
Kuno Yoshihito;Orito Takahiro;Ichinose Ikuo
介绍并研究了一种新的具有相互作用和无序的团簇自旋模型。在特定类型的相互作用中，我们发现了大量的局部运动积分（LIOMs），这是量子信息中稳定器的修改版本，即相互交换的运营商指定系统中的所有量子态。这些LIOM可以定义为任何强度的相互作用和无序，并且是紧支撑的，而不是指数衰减的尾巴。因此，即使在存在相互作用的情况下，可积性仍然存在，并且所有的能量本征态都被这些LIOM标记，并且可以明确地获得。因此，可积动力学是有希望出现的。LIOMs的紧凑支撑性质至关重要地防止了热化和纠缠传播。我们用数值方法研究了由紧支撑LIOM的存在所控制的系统动力学，并阐明了额外相互作用的影响，这些相互作用打破了LIOM的紧支撑性质。在那里，我们发现了通常的多体局域化行为，如纠缠熵在时间演化中的对数增长。除了遍历破缺动力学，我们发现对称性保护的拓扑秩序保持特定的状态，即使在存在的相互作用。
Novel cluster spin model with interactions and disorder is introduced and studied. In specific type of interactions, we find an extensive number of local integrals of motions (LIOMs), which are a modified version of the stabilizers in quantum information, ie, mutually commuting operators specifying all quantum states in the system. These LIOMs can be defined for any strength of the interactions and disorder, and are of compact-support instead of exponentially-decaying tail. Hence, even under the presence of interactions, integrability is held, and all energy eigenstates are labeled by these LIOMs and can be explicitly obtained. Integrable dynamics is, then, expected to occur. The compact-support nature of the LIOMs crucially prevents the thermalization and entanglement spreading. We numerically investigate dynamics of the system governed by the existence of the compact-support LIOMs, and clarify the effects of additional interactions, which break the compact-support nature of the LIOMs. There, we find that the ordinary many-body localization behaviors emerge, such as the logarithmic growth of the entanglement entropy in the time evolution. Besides the ergodicity breaking dynamic, we find that symmetry protected topological order preserves for specific states even in the presence of the interactions.