Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model.

These show a clear trend towards α = 0 for increasing N and J , which would be consistent with logarithmic growth \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S(t) \sim \ln (t)$$\end{document} S ( t ) ~ ln ( t ) .

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