Extended Data Fig. 7: Typicality of SLIOM distributions for the \({{\mathcal{K}}}_{6}\) Krylov fragment.
From: Statistical localization of U(1) lattice gauge theory in a Rydberg simulator
a, Experimentally measured SLIOM distibutions, generated by temporal ensembles starting from Ωti = 0.56 and ending at Ωtf = 3 (open triangles), 4 (crosses), 5.6 (open circles). The error bars here depict the standard error of the mean. b, Numerically simulated SLIOM distibutions, generated by temporal ensembles (Ωti = 0.56, Ωtf = 5.6) starting from two different initial states (open circles for \(\left|\psi \right\rangle =\left|rgggggrggrgggggr\right\rangle \in {{\mathcal{K}}}_{6}\) and crosses for \(\left|{\psi }^{{\prime} }\right\rangle =\left|rgggrgrggrgrgggr\right\rangle \in {{\mathcal{K}}}_{6}\)) and compared with the infinite-temperature distribution within \({{\mathcal{K}}}_{6}\) (open triangles).
