Abstract
We experimentally realized the two-photon entangled state with correlated momentum and anticorrelated position, namely, the momentum positively correlated Einstein–Podolsky–Rosen (MPC-EPR) state from the spontaneous parametric downconversion process in a long periodically poled lithium tantalate (PPLT) crystal with a tightly focused pump beam. The MPC-EPR state is identified by measuring the momentum and position correlations at the Fourier plane and imaging plane of the PPLT crystal end face, respectively, showing a variance product (Δx+)2(Δp−)2=0.14±0.02ℏ2, which fulfills the entanglement criterion. The engineering of such an entangled state will bring interest to not only fundamental quantum physics but also the applied quantum technologies, such as quantum imaging, etc.
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