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Rydberg states of atoms are of great current interest for quantum manipulation of mesoscopic samples of atoms. Long-range Rydberg–Rydberg interactions can inhibit multiple excitations of atoms under the appropriate conditions. These interactions are strongest when resonant collisional processes give rise to long-range C 3 / R 3 interactions. We show in this paper that even under resonant conditions C 3 often vanishes so that care is required to realize full dipole blockade in micron-sized atom samples.
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