Imaging Walk-Off Driven Distortions in EPR Photon Pair Correlations
- URL: http://arxiv.org/abs/2512.12423v1
- Date: Sat, 13 Dec 2025 18:34:57 GMT
- Title: Imaging Walk-Off Driven Distortions in EPR Photon Pair Correlations
- Authors: Christian Howard, Roohollah Ghobadi, Nazanin Dehghan, Alessio D'Errico, Ebrahim Karimi,
- Abstract summary: Spontaneous parametric down-conversion is the primary source of position-correlated and momentum-anticorrelated photon pairs.<n>We show that birefringence-induced transverse walk-off breaks this factorization and couples these degrees of freedom.<n>Our findings provide a more complete description of photon-pair generation in birefringent nonlinear media.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Spontaneous parametric down-conversion is the primary source of position-correlated and momentum-anticorrelated photon pairs that form the canonical Einstein-Podolsky-Rosen (EPR) state. Their transverse spatial correlations are usually analyzed within the thin-crystal approximation, where the two-photon wavefunction is assumed to factorize into independent functions of the sum and difference coordinates. In practice, however, birefringence-induced transverse walk-off breaks this factorization and couples these degrees of freedom. Here, we show that this coupling persists even for nominally thin crystals once the free-space propagation of the joint spatial intensity is taken into account. This sum-difference coordinate coupling leads to a distinctive tapering of the transverse correlations near the crystal image plane-an effect that standard factorized models cannot capture. Numerical simulations and experimental data clearly confirm this novel behavior. Our findings provide a more complete description of photon-pair generation in birefringent nonlinear media and clarify fundamental limits on spatially resolved quantum imaging and spatial-mode quantum information processing with EPR states.
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