Quantum correlations in the two-photon decay of few-electron ions

Abstract

A theoretical study of the polarization entanglement of two photons emitted in the decay of metastable ionic states is performed within the framework of density matrix theory and second-order perturbative approach. Particular attention is paid to relativistic and non-dipole effects that become important for medium- and high-$Z$ ions. To analyze these effects, the degree of entanglement is evaluated both in the dipole approximation and within the rigorous relativistic theory. Detailed calculations are performed for the two-photon $2s_{1/2}\to 1s_{1/2}$ transition in hydrogen-like, as well as for the $1s_{1/2}2s_{1/2}{}^1{S}_0\to 1s_{1/2}^2{}^1{S}_0$, $1s_{1/2}2s_{1/2}{}^3{S}_1\to 1s_{1/2}^2{}^1{S}_0$ and $1s_{1/2}2p_{1/2}{}^3{P}_0\to 1s_{1/2}^2{}^1{S}_0$ transitions in helium-like ions.

References in corpus (2)

• Relativistic calculation of the two-photon decay rate of highly-excited ionic states
• Angular correlations in the two--photon decay of helium--like heavy ions

Cited by in corpus (11)

• Essential entanglement for atomic and molecular physics
• Entanglement of Orbital Angular Momentum in Non-Sequential Double Ionization
• Relativistic total cross section and angular distribution for Rayleigh scattering by atomic hydrogen
• Relativistic polarization analysis of Rayleigh scattering by atomic hydrogen
• The effect of an external magnetic field on the determination of E1M1 two-photon decay rates in Be-like ions
• Parametrization of the angular correlation and degree of linear polarization in two-photon decays of hydrogen-like ions
• Relativistic evaluation of the two-photon decay of the metastable ${1s}^{2} 2s 2p~^3\mbox{P}_0$ state in berylliumlike ions with an active-electron model
• Angular and polarization analysis for two-photon decay of 2s hyperfine states of hydrogenlike Uranium
• Photon-photon polarization correlations as a tool for studying parity non-conservation in heliumlike Uranium
• Underlining some limitations of the statistical formalism in quantum mechanics
• Spin effects probed by Rayleigh X-ray scattering off hydrogenic ions