Extended Data Fig. 8: Optimization of data collapse.
From: Quantum phases of matter on a 256-atom programmable quantum simulator
a, Distance D between rescaled correlation length \(\mathop{\xi }\limits^{ \sim }\) versus \(\mathop{\varDelta }\limits^{ \sim }\) curves depends on both the location of the quantum critical point Δc/Ω and on the correlation length critical exponent ν. The independently determined Δc/Ω (blue line, with uncertainty range in grey) and the experimentally extracted value of ν (dashed red line, with uncertainty range corresponding to the red shaded region) are marked on the plot. b, Our determination of ν (red) from data collapse around the independently determined Δc/Ω (blue) is consistent across arrays of different sizes. c–e, Data collapse is clearly better at the experimentally determined value (ν = 0.62) as compared with the mean-field (ν = 0.5) or the (1 + 1)D (ν = 1) values. The horizontal extent of the data corresponds to the region of overlap of all rescaled datasets.
