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Frontiers in Optics

Quantum Imaging With Undetected Photons Enabled by Twin-Photon Position Correlation

Balakrishnan Viswanathan, Gabriela Barreto Lemos, Mayukh Lahiri

Published Jan 1, 2021• 0 citations
Publisher

Abstract

Quantum imaging with undetected photons is a unique imaging technique in which photons illuminating the object are not detected. We generalize this technique to a new domain where the object is in the near field.
DOI
10.1364/fio.2021.jth5a.51

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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.
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.
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.
Quantum imaging with undetected photons (QIUP) is a unique method of image acquisition where the photons illuminating the object are not detected. This method relies on quantum interference and spatial correlations between the twin photons to form an image. Here we present a detailed study of the resolution limits of position correlation enabled QIUP. We establish a quantitative relation between the spatial resolution and the twin-photon position correlation. Furthermore, we also quantitatively establish the roles that the wavelength of the undetected illumination field and the wavelength of the detected field play in the resolution. Like ghost imaging and unlike conventional imaging, the resolution limit imposed by the spatial correlation between the twin photons in QIUP cannot be further improved by conventional optical techniques.