Three Photon Entanglement from Ortho-Positronium Revisited

Abstract

Entanglement of three photons from the decay of ortho-positronium is re-analyzed. We use the full three body phase space to write down the entangled states classified according to the spin directions of the ortho-positronium. Even in the case when the spin is perpendicular to the decay plane, we find non-negligible phases entering the entangled state. This has not been noticed before. We advocate a fixed quantization axis of the spin for the sake of generality. A brief discussion of a three dimensional formalism for photons, including correlations, versus a two dimensional one is given.

arXiv commentProceedings of the second Jagiellonian Symposium on Fundamental and Applied Subatomic Physics

Cited by in corpus (11)

• Positronium Physics and Biomedical Applications
• Feasibility studies of the polarization of photons beyond the optical wavelength regime with the J-PET detector
• Decoherence puzzle in measurements of photons originating from electron-positron annihilation
• Commissioning of the J-PET detector in view of the positron annihilation lifetime spectroscopy
• A feasibility study of the time reversal violation test based on polarization of annihilation photons from the decay of ortho-Positronium with the J-PET detector
• Simulation studies of annihilation-photon's polarisation via Compton scattering with the J-PET tomograph
• A reconciliation of the Pryce-Ward and Klein-Nishina statistics for semi-classical simulations of annihilation photons correlations
• Studies Of The Polarization Of Gamma Photons Originating From The Decay of Positronium Atoms
• Status and Prospects of Discrete Symmetries Tests in Positronium Decays with the J-PET Detector
• Quantum Entanglement Degree, Mean Positronium Lifetime, and the $3\gamma$/$2\gamma$ Annihilation-Rate Ratio as Novel PET Biomarkers for Hypoxia -- Concept, Challenges, and Predictions
• Quantifying Quantum Correlations in Annihilation Photon Pairs under Compton Scattering