Fig. 5 | Scientific Reports

Fig. 5

From: Chaos controlled and disorder driven phase transitions induced by breaking permutation symmetry

Fig. 5

Left: Change in scaling of \(\overline{\langle J^2 \rangle }_w\) from \(N^{2}/4+N/2\) (red dashed line) to 3N/4 (black dotted line) as disorder strength w is increased with k set to 1 and \(p=\pi /2\). Right: Same for \(\overline{\langle S_{N/2} \rangle }_w\) as a function of N at \(k=1\) where the red dashed line corresponds to fitted line \(0.41+0.54 \log _2 (N/2+1)\) and the black dotted line is the RMT expression given by \(N/2- 1/2 \ln 2\). The initial state is \({|{2.25,1.1}\rangle }\).

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