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We propose a novel scheme to efficiently tune the scattering length of twocolliding ground-state atoms by off-resonantly coupling the scattering-state toan excited Rydberg-molecular state using laser light. For the s-wave scatteringof two colliding ${^{87}}\mathrm{Rb}$ atoms, we demonstrate that the effectiveoptical length and pole strength of this Rydberg optical Feshbach resonance canbe tuned over several orders of magnitude, while incoherent processes andlosses are minimised. Given the ubiquity of Rydberg molecular states, thistechnique should be generally applicable to homo-nuclear atomic pairs as wellas to atomic mixtures with s-wave (or even p-wave) scattering.

Rydberg optical Feshbach resonances in cold gases