Elements of eigenvectors obtained by exact diagonalization can be considered as two dimensional lattice sites, in which dynamics of a given initial state is seen as a percolating procedure on the lattice sites. Then one can use the percolating procedure to generate a series of fragments of eigenvectors. Combining the fraction ratio and entanglement entropy dynamics of the generated fragment we examine the many-body localization transition in a disordered hard-core bosonic model. It helps us to locate roughly the transition point at the critical disorder strength $W_c\approx 12\sim13$. The scaling collapse of the fraction ratios gives us the localization length exponent $ν\approx2.0$.
Indian Institute of Technology Kanpur（坎普尔印度理工学院）；Institut Langevin, ESPCI Paris, Université PSL, CNRS（巴黎高等物理化工学院朗之万研究所，PSL大学，法国国家科学研究中心）；Department of Physics, Indian Institute of Technology Bombay（孟买印度理工学院物理系）
Beyond fragmented dopant dynamics in quantum spin lattices: Robust localization and non-Gaussian diffusion
Max Planck Institute of Quantum Optics（马克斯·普朗克量子光学研究所）；Munich Center for Quantum Science and Technology（慕尼黑量子科学与技术中心）；University of California, Berkeley（加州大学伯克利分校）；Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室）；Niels Bohr Institute, University of Copenhagen（哥本哈根大学尼尔斯玻尔研究所）
Exploring Hilbert-Space Fragmentation on a Superconducting Processor
Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所）；School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）；Beijing Academy of Quantum Information Sciences（北京量子信息科学研究院）；Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg（奥格斯堡大学物理所电子关联与磁学理论物理III）；Quantum Science Center of Guangdong-Hong Kong-Macao Greater Bay Area（粤港澳大湾区量子科学中心）；Hefei National Laboratory（合肥国家实验室）
