The concept of temporal imaging draws from the analogy between paraxial propagation of light in space and in dispersive media. So far, temporal imaging has been demonstrated with ultrafast light, corresponding to spectral precision in the THz range. In our quantum memory, we have implemented full spectral and temporal processing capabilities for ultra narrowband photons, which allow us to perform temporal imaging with MHz bandwidth and kHz precision. Implementation of this concept leads to many implications, which give rise to two distinct super-resolved spectroscopy schemes, inspired by recent developments in spatial super-resolved imaging. One scheme takes advantage of elaborate interference in the quantum memory, while the other uses optimized analysis of a homodyne detector traces. Overall, our approach not only brings temporal imaging to the previously untackled regime but also points to a variety of new schemes useful in quantum sensing.
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