Abstract
Quantum imaging with undetected photons is a recently introduced technique that goes significantly beyond what was previously possible. In this technique, images are formed without detecting the light that interacted with the object that is imaged. Given this unique advantage over the existing imaging schemes, it is now of utmost importance to understand its resolution limits, in particular what governs the maximal achievable spatial resolution. We show both theoretically and experimentally that the momentum correlation between the detected and undetected photons governs the spatial resolution — a stronger correlation results in a higher resolution. In our experiment, the momentum correlation plays the dominating role in determining the resolution compared to the effect of diffraction. We find that the resolution is determined by the wavelength of the undetected light rather than the wavelength of the detected light. Our results thus show that it is in principle possible to obtain resolution characterized by a wavelength much shorter than the detected wavelength.
Highlights
Quantum imaging is a rapidly developing field with progress fuelled by developments in photon detection technology [1–3], nonlinear and quan-The concept of Quantum imaging with undetected photons” (QIUP) relies on the creation of a photon pair in quantum superposition at two spatially separated sources [30, 31]
We have considered experiments that use the scheme of Ref. [24], in which nonlinear crystals are located in the far field of the object and the momentum correlation between detected and undetected photons limits the resolution
We have studied the resolution in Quantum Imaging with Undetected photons both theoretically and experimentally
Summary
Quantum imaging is a rapidly developing field with progress fuelled by developments in photon detection technology [1–3], nonlinear and quan-. One photon of the pair interacts with the object and is never detected. The image is constructed by detecting the partner photon that does not interact with the object. This distinctive feature of QIUP allows a sample to be probed at a wavelength for which no detector is available, which is an advantage over existing imaging techniques. We find that in this case, the achievable resolution is limited by the momentum correlation between detected and undetected photons.
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