Figure 4

Time evolutions of the logarithm of the length of the pseudo-spin polarization vector for the graph of different sites. The parameters are \(\bar{J}=10\) and \(\bar{ {\mathcal E} }=50\) in (a) and \(\bar{ {\mathcal E} }=100\) in (b,c). The initial states are |1, −〉 for the graph of three sites (n = 1), \((|2,-\,\rangle +|1,-\,\rangle )/\sqrt{2}\) for the graph of five sites (n = 2), and \(|{k}_{-}^{\mathrm{(1)}}\rangle +|{k}_{+}^{\mathrm{(1)}}\rangle \) for the graph of 9 sites (n = 4).