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We present expressions demonstrating that collisional decoherence ofultracold atoms or molecules in a coherent superposition of non-degeneratequantum states is suppressed when both the real and imaginary parts of thescattering lengths for the states in the coherent superposition are equal. Weshow that the rate of collisional decoherence can be enhanced or suppressed byvarying an external magnetic field near a Feshbach resonance. For someresonances, the suppression is very dramatic. We propose a method for measuringthe scattering length of ultracold particles in excited quantum statesexhibiting Feshbach resonances.

Controlling collisional decoherence of ultracold molecules in superposition states by an external magnetic field