Heisenberg limit superradiant superresolving metrology

Phys Rev Lett. 2014 Aug 22;113(8):083601. doi: 10.1103/PhysRevLett.113.083601. Epub 2014 Aug 21.

Abstract

We propose a superradiant metrology technique to achieve the Heisenberg limit superresolving 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 momentum space. The phase difference between these two states induced by a uniform displacement of the atomic ensemble has 1/4N sensitivity. Experiments are proposed in crystals and in ultracold atoms.