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We study the problem of two interacting particles in a one-dimensionalquasiperiodic lattice of the Harper model. We show that a short or long rangeinteraction between particles leads to emergence of delocalized pairs in thenon-interacting localized phase. The properties of these Freed by InteractionKinetic States (FIKS) are analyzed numerically including the advanced Arnoldimethod. We find that the number of sites populated by FIKS pairs growsalgebraically with the system size with the maximal exponent $b=1$, up to alargest lattice size $N=10946$ reached in our numerical simulations, thuscorresponding to a complete delocalization of pairs. For delocalized FIKS pairsthe spectral properties of such quasiperiodic operators represent a deepmathematical problem. We argue that FIKS pairs can be detected in the frameworkof recent cold atom experiments [M.~Schreiber {\it et al.} Science {\bf 349},842 (2015)] by a simple setup modification. We also discuss possibleimplications of FIKS pairs for electron transport in the regime ofcharge-density wave and high $T_c$ superconductivity.

Freed by interaction kinetic states in the Harper model