Propagation of transverse intensity correlations of a two-photon state

Abstract

The propagation of transverse spatial correlations of photon pairs through arbitrary first-order linear optical systems is studied experimentally and theoretically using the fractional Fourier transform. Highly-correlated photon pairs in an EPR-like state are produced by spontaneous parametric down-conversion and subject to optical fractional Fourier transform systems. It is shown that the joint detection probability can display either correlation, anti-correlation, or no correlation, depending on the sum of the orders $\alpha$ and $\beta$ of the transforms of the down-converted photons. We present analytical results for the propagation of the perfectly correlated EPR state, and numerical results for the propagation of the two-photon state produced from parametric down-conversion. We find good agreement between theory and experiment.

9 pages, 7 figures, to appear PRA

References in corpus (6)

• Observation of -9 dB quadrature squeezing with improvement of phase stability in homodyne measurement
• Transverse Entanglement Migration in Hilbert Space
• Experimental Violation of Bell's Inequality in Spatial-Parity Space
• Detection of transverse entanglement in phase space
• Spatiotemporal correlations in entangled photons generated by spontaneous parametric down conversion
• Spatial entanglement of paired photons generated in cold atomic ensembles

Cited by in corpus (12)

• Imaging high-dimensional spatial entanglement with a camera
• Einstein-Podolsky-Rosen paradox in twin images
• Observation of tunable Popescu-Rohrlich correlations through post-selection of a gaussian state
• Continuous variable quantum computation with spatial degrees of freedom of photons
• Quantifying the Momentum Correlation between Two Light Beams by Detecting One
• Generalized Hermite-Gauss decomposition of the two-photon state produced by spontaneous parametric down-conversion
• Unified framework to determine Gaussian states in continuous variable systems
• Anisotropic Spatial Entanglement
• Tracking phase entanglement during propagation of downconverted photons
• Correlated Quantum Airy Photons: An Analytical Approach
• Localized to delocalized spatial quantum correlation evolution in structured bright twin beams
• Advances in Position-Momentum Entanglement: A Versatile Tool for Quantum Technologies