# Localization of bound states in quasi-periodic optical lattices

Giuliano Orso (University of Paris-Diderot)

24.05.2013 at 10:15

We discuss the formation of bound states made of two interacting atoms moving in a one dimensional (1D) quasi-periodic optical lattice.

The underlying hamiltonian is the Aubry-André model with additional on-site interactions.

We derive the quantum phase diagram for localization of both attractively and repulsively bound pairs. We calculate the pair binding energy and show analytically that its behavior as a function of the interaction strength depends crucially on the nature -extended, multifractal, localized- of the single-particle atomic states. Experimental implications of our results are discussed.

Ref: G. Dufour, G. Orso, Phys. Rev. Lett. 109, 155306 (2012)

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