Information spreading and scrambling in disorder-free multiple-spin-interaction models
Information spreading and scrambling in disorder-free multiple-spin-interaction models
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无序多自旋相互作用模型中的信息传播和置乱
DOI：
10.1103/physreva.106.012435
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发表时间：
2022
影响因子：
2.9
通讯作者：
Ichinose Ikuo
中科院分区：
文献类型：
--
作者：
Kuno Yoshihito;Orito Takahiro;Ichinose Ikuo
三分互信息（TMI）是一种有效的可观测量，可以量化具有淬灭多体哈密顿量的幺正时间演化算符的置乱器的能力。本文给出了具有三体和四体多自旋相互作用的无无序（自旋不变）自旋模型中TMI的数值演示。对于足够强的相互作用，这些模型的TMI动力学行为不需要线性光锥。在早期的演化中，TMI显示出明显的负增长，符合一个类似的函数。这与模型中存在的传统线性光锥行为及其近可积附近形成对比。数值研究了有限尺寸系统中TMI的后期演化。多自旋相互作用使系统几乎可积，并对信息传播和混乱有微弱的抑制作用。对TMI后期值的观测表明，系统的扰动性质因相互作用而发生变化，这种变化可以用TMI的相变行为来表征，反映了系统的可积性，违反了本征态热化假设。
Tripartite mutual information (TMI) is an efficient observable to quantify the ability of a scrambler for the unitary time-evolution operator with a quenched many-body Hamiltonian. In this paper we give numerical demonstrations of the TMI in disorder-free (translationally invariant) spin models with three-body and four-body multiple-spin interactions. The dynamical behavior of the TMI of these models doesnotexhibit a linear light cone for sufficiently strong interactions. In early-time evolution, the TMI displays a distinct negative increase fitted by a logarithmiclike function. This is in contrast to the conventional linear light-cone behavior present in themodel and its near-integrable vicinity. The late-time evolution of the TMI in finite-size systems is also numerically investigated. The multiple-spin interactions make the system nearly integrable and weakly suppress the spread of information and scrambling. The observation of the late-time value of the TMI indicates that the scrambling nature of the system changes by interactions and this change can be characterized by a phase-transition-like behavior of the TMI, reflecting the system's integrability and violating the eigenstate thermalization hypothesis.
无序海森堡自旋 1/2 链的可积性
DOI：
10.1088/0305-4470/37/17/004
发表时间：
2003
期刊：
Journal of Physics A
影响因子：
--
作者：
Lea F. Santos
通讯作者：
Lea F. Santos