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Quantum Simulation Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence

Swings and roundabouts: Optical Poincaré spheres for polarization and Gaussian beams

arXiv
Authors: Mark R Dennis, Miguel A Alonso

Year

2016

Paper ID

42107

Status

Preprint

Abstract Read

~2 min

Abstract Words

81

Citations

N/A

Abstract

The connection between Poincaré spheres for polariz-ation and Gaussian beams is explored, focusing on the interpretation of elliptic polarization in terms of the isotropic 2-dimensional harmonic oscillator in Hamiltonian mechanics, its canonical quantization and semiclassical interpretation. This leads to the interpretation of structured Gaussian modes, the Hermite-Gaussian, Laguerre-Gaussian and Generalized Hermite-Laguerre Gaussian modes as eigenfunctions of operators corresponding to the classical constants of motion of the 2-dimensional oscillator, which acquire an extra significance as families of classical ellipses upon semiclassical quantization.

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  • The connection between Poincaré spheres for polariz-ation and Gaussian beams is explored, focusing on the interpretation of elliptic polarization in terms of the isotropic...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1611.10245 [2] arXiv https://arxiv.org/abs/1611.10245 [3] Publisher https://arxiv.org/abs/1611.10245

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