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Fundamentally, the dynamics of micro-macro transitions is instrumental tounderstanding the process of quantum-to-classical transitions; technologically,it can also facilitate the detection of the microscopic signals in quantumexperiments via convenient detectors. Here, we demonstrate a scheme tocharacterize micro-macro transitions based on a four-wave mixing linear opticalamplification process in a hot rubidium vapor. The linear optical amplifierprovides a large optical gain of $10^7$ for injected single-photon-levelpulses, enabling photon-number-resolving detection by average vianon-single-photon counting detectors with a large dynamic range. The schemeexhibits strong dispersion which is sensitive to the input's change at thesingle-photon level, resulting in the group-velocity delay time scaling with$1/\sqrt{N}$, where $N$ is the average input photon number. The output probeand conjugate modes have different coefficients of this $1/\sqrt{N}$ scaling,indicating the coefficient can serve as an efficient parameter to characterizethe specified micro-macro transitions. The demonstrated results are generallyapplicable for quantum detection and optical signal processing in light-atominterfaces. Furthermore, the present system is suitable for the study ofrelevant time-resolved dynamics of the quantum-to-classical transitions.

Characterizing micro-macro transitions with an atomic-vapor-based linear optical amplifier