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We study the problem of two interacting particles in the classical Harpermodel in the regime when one-particle motion is absolutely bounded inside onecell of periodic potential. The interaction between particles breaksintegrability of classical motion leading to emergence of Hamiltonian dynamicalchaos. At moderate interactions and certain energies above the mobility edgethis chaos leads to a chaotic propulsion of two particles with their diffusivespreading over the whole space both in one and two dimensions. At the same timethe distance between particles remains bounded by one or two periodic cellsdemonstrating appearance of new composite quasi-particles called chaons. Theeffect of chaotic delocalization of chaons is shown to be rather general beingpresent for Coulomb and short range interactions. It is argued that suchdelocalized chaons can be observed in experiments with cold atoms and ions inoptical lattices.

Chaotic delocalization of two interacting particles in the classical Harper model