mean interaction energy / infinite product / mono-atomic gas / localized energy eigenstates / energy eigenvalue / disorder systems / mean kinetic energy / lattice site / state systems / bosonic creation operator / interaction energy / numerical algorithm / gas regime / large enough systems / energy gap / fixed energy eigenvalue / semi-infinite lattice chain / site energy / periodic model systems / correlated lattice systems / random products / finite energy gap / particle number operator / semi-infinite chain / /