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arXiv · 1007.2528

Poincar\'e sphere representation for classical inseparable Bell-like states of the electromagnetic field

Annemarie Holleczek·Andrea Aiello·Christian Gabriel·Christoph Marquardt·Gerd Leuchs
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Abstract

Classical beams of light with non-uniform polarization patterns (e.g. radially and azimuthally polarized doughnut beams) may exhibit quantum-like features as, for instance, inseparability. We establish an exact correspondence between radially and azimuthally polarized classical modes of the electromagnetic field and the two-qubit quantum Bell states. We demonstrate the existence of a special representation for such classical modes by means of a pair of Poincar\'e spheres. Points on these spheres are described by Stokes parameters associated with such modes, and their explicit expressions are given.

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Annemarie Holleczek, Andrea Aiello, Christian Gabriel, Christoph Marquardt, Gerd Leuchs. 2010-07-15. Poincar\'e sphere representation for classical inseparable Bell-like states of the electromagnetic field. https://arxiv.org/abs/1007.2528

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