Various angle periods of parabolic coincidence fringes in violation of Bell inequality with high-dimensional two-photon entanglement
arXiv:1804.08930 · doi:10.1103/PhysRevA.98.053856
Abstract
Two quantum states of two half-charge optical vortexes with relative azimuthal angle π are orthogonal, by which two half-charge spiral phase plates with intersection angle π can be used to demonstrate a parabolic coincident fringe in the Bell inequality experiment with high-dimensional two-photon orbital angular momentum entanglement and to thereby obtain a strong Bell parameter of 3.2. I theoretically demonstrate various orthogonal relations between two quantum states, each of which is a state with a rotational symmetry superposition made up of n fractional orbital angular momentum states, where n is N. I propose a Bell inequality experiment with two n-section spiral phase plates that have these two quantum states, whereby various angle periods with parabolic coincident fringes 2π/n and Bell's parameter 3.2 in each period can be obtained.
arXiv comment18 pages, 2 figures
References in corpus (10)
- Entanglement of Orbital Angular Momentum States of Photons
- Bell inequalities for arbitrarily high dimensional systems
- Quantum Entanglement of High Angular Momenta
- Experimental high-dimensional two-photon entanglement and violations of generalised Bell inequalities
- Vortex knots in light
- Experimental demonstration of fractional orbital angular momentum entanglement of two photons
- Quantum Formulation of Fractional Orbital Angular Momentum
- Entangled Bessel beams
- Increasing the dimension in high-dimensional two-photon orbital angular momentum entanglement
- Experimental Violation of Bell's Inequality in Spatial-Parity Space