In our examples, these radiation effects are two-photon analogues of Cherenkov and synchrotron radiation by moving charged particles such as free electrons. By leveraging time-changing dielectric media, where quantum vacuum fluctuations of the electromagnetic field can be converted into photon pairs, we show that energy and momentum conservation in multimode systems give rise to frequency and angle correlations of photon pairs controlled by the trajectory of index modulation. Here we propose a mechanism for the controlled generation of entangled and squeezed photon pairs using superluminal or accelerating modulations of the refractive index in a medium or both.
However, fine-grained control over these properties is hard to achieve, especially for two-photon sources. Sources of photons with controllable quantum properties such as entanglement and squeezing are desired for applications in quantum information, metrology and sensing.
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