Fig. 4
From: Chaos controlled and disorder driven phase transitions induced by breaking permutation symmetry
Left: \(\left\langle J^2(n) \right\rangle _w\) as a function of number of kicks n for different disorder strengths w with \(k=1\), \(p=\pi /2\), \(N=12\) qubits, averaged over 100 disorder realizations. Right: shows the von Neumann entanglement entropy \(\langle S_{N/2} \rangle _w\) as a function of n for the same parameters. The two vertical lines correspond to the two Heisenberg time scales discussed in the text, \(t_{PSS}^H\) (blue) and \(t_{FHS}^H\) (green). The black dashed horizontal line in both figures correspond to the RMT values in full Hilbert space. The initial state considered is \({|{2.25,1.1}\rangle }\).
