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Optical beams reflected or transmitted from an interface experience polarization-dependent subwavelength deflection in the centroid. We demonstrate the inherent non-separability of longitudinal and transverse beam shift taking an example of the partial reflection of a Gaussian beam from an air-glass interface. The specific regimes in the parameter space manifesting the observable non-separability are pointed out. Such non-separability leads to a classical position-position entanglement from a simple partial reflection of a Fundamental Gaussian beam. The experimental parameters offer control over the degree of entanglement. Such a non-separable structure of light and its dependence on the system parameters might have potential applications in sensing and metrology.
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