Fig. 5

Discrete equilibrium probability distribution of the number of bound particles, \(P\left( N\right)\), for \(J=-10\) and three different mean occupancies: \(\langle \varphi \rangle = 1/3,\, 1/2,\) and 2/3, respectively. Histograms show the result of exact enumeration based on the 1D Hamiltonian from Eq. (1) for a system of size \(L=13\) (a) and \(L=14\) (b).