Single-Photon Stored-Light Interferometry.

We demonstrate a single-photon stored-light interferometer, where a photon is stored in a laser-cooled atomic ensemble in the form of a Rydberg polariton with a spatial extent of $10 \times1\times1\mu m^3$.. The photon is subject to a Ramsey sequence, i.e. `split' into a superposition of two paths. After a delay of up to 450~ns, the two paths are recombined to give an output dependent on their relative phase. The superposition time of 450~ns is equivalent to a free-space propagation distance of 135~m. We show that the interferometer fringes are sensitive to external fields, and suggest that stored-light interferometry could be useful for localized sensing applications.