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Correlation of interacting particles is studied in their dynamics andlocalization in ideal and disordered lattice systems with the help of numericaltools. Both 1D and 2D systems are considered. In 1D lattices with long-rangehopping, differences between dynamics of attractively and repulsivelyinteracting particles are noted. For calculations of 2D systems, a recursionbased numerical algorithm for two-particle Greens functions is implementedwhich provides accurate results. Using this algorithm, spectral properties of2D Hubbard and Hofstadter models is computed, along with localizationparameters of 2D disordered systems.

Numerical Studies on Correlations in Dynamics and Localization of Two Interacting Particles in Lattices