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Implementation of the Classical and Quantum Fourier Transform in Photonic Lattices

Steffen Weimann, Armando Pérez-Leija, Maxime Lebugle, Alexander Szameit

Published Jan 1, 2015• 0 citations
Publisher

Abstract

We report on the experimental realization of an optical version of the fractional and standard Fourier transform using discrete photonic lattices. Our approach is fully integrated and free of bulk optical components. We investigate the transformation of classical and quantum light.
DOI
10.1364/cleo_qels.2015.fw4a.1

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Light processing plays a central role in quantum communication, since optical quantum networks that will allow for secure quantum communication [1] and linking quantum computers [2] are of significant scientific and engineering interest [3], [4]. In this work, we present the experimental implementation of optical Fractional Fourier Transform. The protocol is realised in gradient echo memory. Hermite-Gaussian modes of light are encoded in rubidium atoms with the coupling impulse linearly chirped in frequency - this corresponds to the temporal lens [5]. Then the ac-Stark beam is applied to the atoms which leads to them acquiring the spectral phase corresponding to the propagation through a spectral lens. This operation results in the rotation of the Wigner function of the input state [6] and is exactly the Fractional Fourier Transform (FrFT) of the input function. The Hermite-Gaussian modes of light are the eigenfunctions of FrFT.
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