Abstract
We propose a superradiant metrology scheme to achieve Heisenberg limit
super-resolving displacement measurement by encoding multiple light momenta
into a three-level atomic ensemble. We use 2N coherent pulses to prepare a
single excitation superradiant state in a superposition of two timed Dicke
states that are 4N light momenta apart in the momentum space. The phase
difference between these two states induced by a uniform displacement of the
atomic ensemble has 1/4N sensitivity. Experiments based on Ramsey
interferometry are proposed in crystal and in ultracold atoms.
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