Quantum orbital angular momentum of elliptically-symmetric light
arXiv:1208.1865 · doi:10.1103/PhysRevA.87.033806
Abstract
We present a quantum mechanical analysis of the orbital angular momentum of a class of recently discovered elliptically-symmetric stable light fields --- the so-called Ince-Gauss modes. We study, in a fully quantum formalism, how the orbital angular momentum of these beams varies with their ellipticity and discover several compelling features, including: non-monotonic behavior, stable beams with real continuous (non-integer) orbital angular momenta, and orthogonal modes with the same orbital angular momenta. We explore, and explain in detail, the reasons for this behavior. These features may have application to quantum key distribution, atom trapping, and quantum informatics in general --- as the ellipticity opens up a new way of navigating the photonic Hilbert space.
9 Pages, 4 Figures, Comments Welcome
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- Parametric upconversion of Ince-Gaussian modes
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- Exactly solvable model behind Bose-Hubbard dimers, Ince-Gauss beams, and aberrated optical cavities
- Heralded generation of vectorially structured photons with high purity
- Ray and caustic structure of Ince-Gauss beams
- Parameter regimes for surpassing the PLOB bound with error-corrected qudit repeaters
- Quantum Dot Behaviour under the Influence of Non-Resonant Structured Laser Beams
- Tuning the probability detection of OAM entangled photons in Helical Ince-Gauss modes
- Continuously Shaping Orbital Angular Momentum with an Analog Optical Vortex Transmitter
- Characterizing a high-dimensional unitary transformation without measuring the qudit it transforms