Imaging Moving Atoms by Holographically Reconstructing the Dragged Slow Light

The propagation of light in moving media is dragged by atomic motion. light-drag effect can be dramatically enhanced reducing the group velocity with electromagnetically induced transparency (EIT). We develop a systematic procedure to accurately reconstruct complex wavefront slow single-shot measurements, enabling precise, photon shot-noise-limited spectroscopic measurements response across EIT even presence generic number fluctuations. Applying technique an expanding cloud cold atoms, we demonstrate simultaneous inference density distribution and field from imaging data. This inline may assist wide range cold-atom experiments access phase-space information situ minimally destructive measurements.