Fig. 1
From: Chaos controlled and disorder driven phase transitions induced by breaking permutation symmetry
Schematic of the dynamics: Top row corresponds to the disorder free system where interactions connecting different spins have same magnitude \(J_{ij}=k\). The second term of the Hamiltonian is the periodic kicks along \(y-\)direction in uniform magnetic fields. Bottom row corresponds to a disordered system where \(J_{ij}\) are random represented by different colors. The angular momentum sphere on the right is a caricature of states with \(\langle J \rangle\) for the disorder free system restricted on the surface of this sphere, whereas for the disordered system it is pushed inside the sphere where \(\langle J \rangle \sim \sqrt{N}\).
