Many-body localization (MBL) hinders the thermalization of quantum many-body systems in the presence of strong disorder. In this Letter, we study the MBL regime in bond-disordered spin-1/2 XXZ spin chain, finding the multimodal distribution of entanglement entropy in eigenstates, sub-Poissonian level statistics, and revealing a relation between operators and initial states required for examining the breakdown of thermalization in the time evolution of the system. We employ a real space renormalization group scheme to identify these phenomenological features of the MBL regime that extend beyond the standard picture of local integrals of motion relevant for systems with disorder coupled to on-site operators. Our results pave the way for experimental probing of MBL in bond-disordered spin chains.

中文翻译：

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键无序自旋链中多体定位的现象学


多体定位 （MBL） 在强无序存在下阻碍了量子多体系统的热化。在这封信中，我们研究了键无序自旋 1/2 XXZ 自旋链中的 MBL 状态，发现了本征态中纠缠熵的多模态分布，亚泊松级统计，并揭示了研究系统时间演化中热化分解所需的算子与初始状态之间的关系。我们采用真实空间重整化群方案来识别 MBL 制度的这些现象学特征，这些现象学特征超出了与无序耦合到现场操作员的系统相关的局部运动积分的标准图片。我们的结果为键无序自旋链中 MBL 的实验探测铺平了道路。