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With the help of von Neumann entropy, we study numerically the localizationproperties of two interacting particles (TIP) with on-site interactions inone-dimensional disordered, quasiperiodic, and slowly varying potentialsystems, respectively. We find that for TIP in disordered and slowly varyingpotential systems, the spectrum-averaged von Neumann entropy <E_v> firstincreases with interaction U until its peak, then decreases as U gets larger.For TIP in the Harper model[S. N. Evangelou and D. E. Katsanos, Phys. Rev. B56, 12797(1997)], the functions of <E_v> versus U are different for particlesin extended and localized regimes. Our numerical results indicate that forthese two-particle systems, the von Neumann entropy is a suitable quantity tocharacterize the localization properties of particle states. Moreover, ourstudies propose a consistent interpretation of the discrepancies betweenprevious numerical results.

von Neumann entropy and localization properties of two interacting particles in one-dimensional nonuniform systems