We show that free electrons can be used for heterodyne light detection and are sensitive to quantum- optical properties of light, including off-diagonal elements of the photonic density matrix.
This paper investigates the transfer of probe or coupling light modulation interference to density matrix elements in a four-level heterodyne Rydberg system. By combining the density matrix dynamical equations with power spectral density (PSD) analysis, we derive analytical solutions to describe this phenomenon. Our results demonstrate that coherence in multi-level systems fundamentally enables this transfer mechanism, thereby increasing the system's noise floor and degrading microwave detection sensitivity. Building on these findings, we establish a sensitivity-noise-constraint relationship to suppress the influence of noise.
The quantum properties of matter and radiation can be leveraged to surpass classical limits of sensing and detection. Quantum optics does so by creating and measuring nonclassical light. However, better performance requires higher photon-number states, which are challenging to generate and detect. Here, we combine photons and free electrons to solve the problem of generating and detecting high-number states well beyond those reachable with light alone and further show that an unprecedented level of sensitivity and resolution is gained based on the measurement of free-electron currents after suitably designed electron-light interactions. Our enabling ingredient is the strong electron-light coupling produced by aloof electron reflection on an optical waveguide, leading to the emission or absorption of a high number of guided photons by every single electron. We establish through rigorous theory that, by combining electron-beam splitters with two electron-waveguide interactions, the sensitivity to detect optical-phase changes can be enhanced dramatically using currently attainable technology. These results inaugurate a disruptive quantum technology relying on free electrons and their strong interaction with waveguided light.