Induced delocalization by correlation and interaction in the one-dimensional Anderson model

We consider long-range correlated disorder and mutual interacting particles according to a dipole-dipole coupling as modifications to the one-dimensional Anderson model. Technically, we rely on the numerical exact diagonalization of the system's Hamilitonian. From the perspective of different localizationmeasures, we confirm and extend the picture of the emergence of delocalized states with increasing correlations. Besides these studies, a definition for multiparticle localization is proposed. In the case of two interacting bosons, we observe a sensitivity of localization with respect to the range of the particle-particle interaction and insensitivity to the coupling's sign, which should stimulate new theoretical approaches and experimental investigations with, e. g., dipolar cold quantum gases.