The fate of a single particle immersed in and interacting with a bath of other particles localized in a tilted lattice is investigated. For tilt values comparable to the tunneling rate a slow-down of the dynamics is observed without, however, a clear localization of the impurity. For a large tilt and strong interactions the motion of the impurity resembles that in the Kronig-Penney potential. The dynamics of the impurity depends on the initial distribution of majority particles. It shows delocalized dynamics for a regular, density wave like distribution and localization if majority particles are randomly distributed.
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