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17 March 2023 The geometric phase of entanglement for two-photon optical vortices
Mark T. Lusk, Mark E. Siemens
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Proceedings Volume PC12436, Complex Light and Optical Forces XVII; PC124360I (2023) https://doi.org/10.1117/12.2650494
Event: SPIE OPTO, 2023, San Francisco, California, United States
Abstract
Entangled two-photon dynamics offer a rich manifestation of the interplay between geometry and information. Such states accumulate a geometric phase that is not equal to the sum of those of the associated single-photon states, the difference amounting to a Geometric Phase of Entanglement (GPE). A functional relationship is derived between the GPE and reduced state entropies, showing that geometric phase measured for one photon will exhibit a quantum correlation with that of the other photon. This is explored within the setting of Type-I, collinear spontaneous parametric down-conversion, where two-photon states can be represented as a sum of spatially-entangled Laguerre-Gaussian modes.
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Mark T. Lusk and Mark E. Siemens "The geometric phase of entanglement for two-photon optical vortices", Proc. SPIE PC12436, Complex Light and Optical Forces XVII, PC124360I (17 March 2023); https://doi.org/10.1117/12.2650494
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KEYWORDS
Spiral phase plates
Optical vortices
Photons
Phase measurement
Quantum physics
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