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arXiv:0807.2909 · Physical Review Letters

Even-Order Aberration Cancellation in Quantum Interferometry

Cristian Bonato, Alexander V. Sergienko, Bahaa E. A. Saleh, Stefano Bonora, Paolo Villoresi

Published Dec 2, 2008• 45 citations
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Abstract

We report the first experimental demonstration of even-order aberration cancellation in quantum interferometry. The effect is a spatial counterpart of the spectral group velocity dispersion cancellation, which is associated with spectral entanglement. It is manifested in temporal interferometry by virtue of the multiparameter spatial-spectral entanglement. Spatially entangled photons, generated by spontaneous parametric down-conversion, were subjected to spatial aberrations introduced by a deformable mirror that modulates the wave front. We show that only odd-order spatial aberrations affect the quality of quantum interference.

DOI
10.1103/physrevlett.101.233603

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We report the first experimental demonstration of even-order aberration cancellation in quantum interferometry. The effect is a spatial counterpart of the spectral group velocity dispersion cancellation, which is associated with spectral entanglement. It is manifested in temporal interferometry by virtue of the multiparameter spatial-spectral entanglement. Spatially entangled photons, generated by spontaneous parametric down-conversion, were subjected to spatial aberrations introduced by a deformable mirror that modulates the wave front. We show that only odd-order spatial aberrations affect the quality of quantum interference.
We describe our theoretical and experimental results demonstrating two new techniques for manipulating dispersion in quantum interferometry using spectral and spatial properties of optical entanglement. First, we present a novel interferometer design allowing to demonstrate a new effect of simultaneous even- and odd-order spectral dispersion cancellation in a single experiment using entangled photons with frequency anti-correlated spectrum. Second, we for the first time demonstrate a spatial counterpart of the known quantum dispersion cancellation that leads to the removal of a detrimental effect of spatial aberrations. We discuss potential applications of novel technologies in high-resolution optical measurement and for designing aberration-free imaging schemes.
We investigate cancellation of spatial aberrations induced by an object placed in a quantum coincidence interferometer with type-II parametric down conversion as a light source. We analyze in detail the physical mechanism by which the cancellation occurs and show that the aberration cancels only when the object resides in one particular plane within the apparatus. In addition, we show that for a special case of the apparatus it is possible to produce simultaneous cancellation of both even-order and odd-order aberrations in this plane.
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Phase distortions, or aberrations, can negatively influence the performance of an optical imaging system. Through the use of position-momentum entangled photons, we nonlocally correct for aberrations in one photon's optical path by intentionally introducing the complementary aberrations in the optical path of the other photon. In particular, we demonstrate the simultaneous nonlocal cancellation of aberrations that are of both even and odd order in the photons' transverse degrees of freedom. We also demonstrate a potential application of this technique by nonlocally cancelling the effect of defocus in a quantum imaging experiment and thereby recover the original spatial resolution.