# Fourier relationship between the angle and angular momentum of entangled photons

@article{Jha2008FourierRB, title={Fourier relationship between the angle and angular momentum of entangled photons}, author={Anand K Jha and Barry Jack and Eric Yao and Jonathan Leach and Robert W. Boyd and Gerald S. Buller and Stephen M. Barnett and Sonja Franke-Arnold and Miles J. Padgett}, journal={Physical Review A}, year={2008}, volume={78}, pages={043810-043810} }

We study the Fourier relationship between angle and orbital angular momentum of entangled photons. Spatial light modulators allow us to define and control the spatial mode measurement state. We observe strong quantum correlations, establishing that angular position and momentum distributions between the photons are related as conjugate Fourier pairs.

## 56 Citations

### Universal entanglement loss induced by angular uncertainty

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We study the diffraction of two maximally entangled qubits encoded into spatial modes of light with orbital angular momenta ±ℏl0, on angular apertures. Exploiting the uncertainty relation between…

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The entangled nature of high order OAM states generated by spontaneous downconversion through violation of a suitable Clauser Horne Shimony Holt (CHSH)-Bell inequality is demonstrated.

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In the present paper, we demonstrate a new method to obtain orbital angular momentum spectrum on the basis of electric-field reconstruction in spatial domain from interferograms, without using…

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We report orbital angular momentum (OAM) and angle correlations between signal and idler photons observed when the nonlinear crystal used in spontaneous parametric down-conversion is illuminated by a…

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Parametric down-conversion is a second-order nonlinear optical process in which a pump photon breaks up into two separate photons known as the signal photon and the idler photon. The constraints of…

### Spatial coherence and entanglement of light

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In this thesis we investigate diverse aspects of spatial coherence of light. Non-classical fields containing two photons can be generated by a nonlinear optical process known as spontaneous…

### Angular diffraction

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Angle and angular momentum are linked by a Fourier transformation. A restriction of the angular range within an optical beam profile therefore generates orbital angular momentum (OAM) sidebands on…

### Angular lens.

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A single phase-only optical element is proposed that transforms different orbital angular momentum modes into localized spots at separated angular positions on a transverse plane in a manner analogous to how a converging lens separates out transverse wave-vector modes at the focal plane.

### Manipulating orbital angular momentum entanglement by using the Heisenberg uncertainty principle.

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This paper explores OAM entanglement by applying the Heisenberg uncertainty principle to the quantum position correlation within the azimuthal region and decomposes the pump light into a set of pump cone states characterized by their radii.

### Quantum Mechanical Properties of Light Fields Carrying Orbital Angular Momentum

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This Chapter presents a review of the quantum mechanical properties of spatially structured light fields, specifically those fields carrying orbital angular momentum (OAM). This review is concerned…

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