Photon correlations in positron annihilation
Isabelle Gauthier, Margaret Hawton
TL;DR
This paper analyzes the quantum correlations in photon pairs produced by positron annihilation, revealing entanglement in momenta and matching experimental time difference distributions.
Contribution
It derives the positron annihilation density matrix, showing entanglement and providing a theoretical explanation for observed photon arrival time distributions.
Findings
Photon pairs exhibit maximally entangled momenta.
The time difference distribution is a double exponential at the decay rate.
Theoretical results align with experimental data.
Abstract
The two-photon positron annihilation density matrix is found to separate into a diagonal center of energy factor implying maximally entangled momenta, and a relative factor describing decay. For unknown positron injection time, the distribution of the difference in photon arrival times is a double exponential at the para-Ps decay rate, consistent with experiment (V. D. Irby, Meas. Sci. Technol. 15, 1799 (2004)).
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