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Twin-photon Correlations in Quantum Imaging with Undetected Photons

Mayukh Lahiri, Balakrishnan Viswanathan, Gabriela Barreto Lemos

Published Jan 1, 2022• 0 citations
Publisher

Abstract

We discuss how position-correlation and momentum-correlation between twin photons govern the key features of quantum imaging with undetected photons, an imaging scheme in which the photon illuminating the object is not detected.
DOI
10.1364/quantum.2022.qw2a.22

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Quantum imaging with undetected photons (QIUP) is a unique imaging technique that does not require the detection of the light used for illuminating the object. This technique requires a correlated pair of photons. In the existing implementations of QIUP, the imaging is enabled by the momentum correlation between the twin photons. We investigate the complementary scenario in which the imaging is instead enabled by the position correlation between the two photons. We present a general theory and show that the properties of the images obtained in these two cases are significantly distinct.
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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.