Interference effects in spontaneous two-photon parametric scattering from two macroscopic regions

Burlakov, A. V.; Chekhova, Maria V.; Klyshko, D. N.; Kulik, S. P.; Penin, A. N.; Shih, Yanhua; Strekalov, Dmitry

doi:10.1103/physreva.56.3214

Cited by 139 publications

(129 citation statements)

References 26 publications

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“…In the process of parametric down-conversion, the properties (energy, momentum, and their uncertainty) of signal and idler photons are determined by the phase matching condition in a nonlinear crystal, concerning the length and dispersion of the crystal [15] and the divergence of pump beam [16]. In the following, we assume monochromatic, paraxial, and thin crystal approximation for the sake of simplicity.…”

Section: Fourier-optical Analysis Of a Two-photon Statementioning

confidence: 99%

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Quantum diffraction and interference of spatially correlated photon pairs and its Fourier-optical analysis

2006

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We present one-and two-photon diffraction and interference experiments involving parametric down-converted photon pairs. By controlling the divergence of the pump beam in parametric downconversion, the diffraction-interference pattern produced by an object changes from a quantum (perfectly correlated) case to a classical (uncorrelated) one. The observed diffraction and interference patterns are accurately reproduced by Fourier-optical analysis taking into account the quantum spatial correlation. We show that the relation between the spatial correlation and the object size plays a crucial role in the formation of both one-and two-photon diffraction-interference patterns.

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Section: Fourier-optical Analysis Of a Two-photon Statementioning

confidence: 99%

“…As will be shown later, the transverse correlation function G(x − x ′ ) plays a crucial role in the formation of diffraction-interference patterns. The counting rates for two-photon (R (2) ) and one-photon (R (1) ) detection at the object are given by [15] …”

Section: Fourier-optical Analysis Of a Two-photon Statementioning

confidence: 99%

Quantum diffraction and interference of spatially correlated photon pairs and its Fourier-optical analysis

2006

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“…A scalar approximation for the electric field has been assumed, which physically corresponds to considering a fixed polarization of light. The positive and negative-energy parts of the electric field involve the photon annihilation and creation operators (a k and a † k ), respectively, associated with wave vector k. The expectation value in Equation (1) is taken over the two-photon signal-idler state produced by SPDC [27][28][29]:…”

Section: Introductionmentioning

confidence: 99%

Correlation Plenoptic Imaging With Entangled Photons

et al. 2016

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Plenoptic imaging is a novel optical technique for three-dimensional imaging in a single shot. It is enabled by the simultaneous measurement of both the location and the propagation direction of light in a given scene. In the standard approach, the maximum spatial and angular resolutions are inversely proportional, and so are the resolution and the maximum achievable depth of focus of the 3D image. We have recently proposed a method to overcome such fundamental limits by combining plenoptic imaging with an intriguing correlation remote-imaging technique: ghost imaging. Here, we theoretically demonstrate that correlation plenoptic imaging can be effectively achieved by exploiting the position-momentum entanglement characterizing spontaneous parametric down-conversion (SPDC) photon pairs. As a proof-of-principle demonstration, we shall show that correlation plenoptic imaging with entangled photons may enable the refocusing of an out-of-focus image at the same depth of focus of a standard plenoptic device, but without sacrificing diffraction-limited image resolution.

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“…[13], for wide crystals, the plane-wave spectrum from the pump beam results in a multiplicative factor for the transition amplitude of the generated two-photon state. This opens the possibility of using SPDC to generate photons with general properties inherited from the pump photons.…”

Section: Introductionmentioning

confidence: 99%

On-demand generation of propagation-invariant photons with orbital angular momentum

Jerónimo-Moreno

Jáuregui

2014

Phys. Rev. A

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We study the generation of propagation invariant photons with orbital angular momentum by spontaneous parametric down conversion (SPDC) using a Bessel-Gauss pump beam. The angular and conditional angular spectra are calculated for an uniaxial crystal optimized for type I SPDC with standard Gaussian pump beams. It is shown that, as the mean value of the magnitude of the transverse wave vector of the pump beam increases, the emission cone is deformed into two non coaxial cones that touch each other along a line determined by the orientation of the optical axis of the nonlinear crystal. At this location, the conditional spectrum becomes maximal for a pair of photons, one of which is best described by a Gaussian-like photon with a very small transverse wave vector, and the other a Bessel-Gauss photon with a distribution of transverse wave vectors similar in amplitude to that of the incident pump beam. A detailed analysis is then performed of the angular momentum content of SPDC photons by the evaluation of the corresponding transition amplitudes. As a result, we obtain conditions for the generation of heralded single photons which are approximately propagation invariant and have orbital angular momentum. A discussion is given about the difficulties in the interpretation of the results in terms of conservation of optical orbital angular momentum along the vector normal to the crystal surface. The angular spectra and the conditional angular spectra are successfully compared with available experimental data recently reported in the literature.

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Interference effects in spontaneous two-photon parametric scattering from two macroscopic regions

Cited by 139 publications

References 26 publications

Quantum diffraction and interference of spatially correlated photon pairs and its Fourier-optical analysis

Quantum diffraction and interference of spatially correlated photon pairs and its Fourier-optical analysis

Correlation Plenoptic Imaging With Entangled Photons

On-demand generation of propagation-invariant photons with orbital angular momentum

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