Spectral decomposition of entangled photons with an arbitrary pump

Abstract

We calculate the bi-photon state generated by spontaneous parametric down conversion in a thin crystal and under collinear phase matching conditions using a pump consisting of any superposition of Laguerre-Gauss modes. The result has no restrictions on the angular or radial momenta or, in particular, on the width of the pump, signal and idler modes. We demonstrate the strong effect of the pump to signal/idler width ratio on the composition of the down-converted entangled fields. Knowledge of the pump to signal/idler width ratio is shown to be essential when calculating the maximally entangled states that can be produced using pumps with a complex spatial profile.

arXiv comment12 pages, 9 figures

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Cited by in corpus (20)

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• Bounds and optimisation of orbital angular momentum bandwidths within parametric down-conversion systems
• Increasing two-photon entangled dimensions by shaping input beam profiles
• Generalized description of the spatio-temporal biphoton State in spontaneous parametric down-conversion
• Information communicated by entangled photon pairs
• Angular Schmidt spectrum of entangled photons: derivation of an exact formula and experimental characterization for non-collinear phase matching
• Postselection-free controlled generation of a high-dimensional orbital-angular-momentum entangled state
• Maximizing the Validity of the Gaussian Approximation for the biphoton State from Parametric Downconversion
• Selective tuning of Hilbert spaces in states encoded with spatial modes of light
• High-dimensional maximally entangled photon pairs in parametric down-conversion
• Spatial and temporal characteristics of spontaneous parametric down-conversion with varying focal planes of interacting beams
• Observing sub-Poissonian statistics of twisted single photons using oscilloscope
• Generation of four-dimensional hyperentangled N00N states and beyond with photonic orbital angular momentum and detection-basis control
• Manipulating orbital angular momentum entanglement by using the Heisenberg Uncertainty principle
• Engineering of maximally entangled orbital angular momentum states via path identity
• Spatial correlations in four-wave mixing with structured light
• Phase matching in $\beta$-barium borate crystals for spontaneous parametric down-conversion