Figure 3

The expansion coefficients \(c_{\ell , n}\) of the eigenstates of the Hamiltonian (1) at \(N = 12\), \(\alpha _2/\alpha _1 = 1\), \(g/\alpha _1 \approx 0.03\), (a) \(\Delta / \alpha _1 = 6.25\) and (b) \(\Delta / \alpha _1 = 6.5\) are shown. For each pair \(n, \ell\), a unit square centered at the corresponding point of the figure is drawn. The color of the square indicates the magnitude of \(c_{n,\ell }\) according to the color bar.