Photon pairs with tailor-made entanglement obtained from the two-photon decay of atomic hydrogen
Thomas Radtke, A. Surzhykov, S. Fritzsche
From the work by W. Perrie et al. [Phys. Rev. Lett. 54, 1790 (1985)], it is known that the photon pairs that are emitted in the $2{s}_{1∕2}\ensuremath{\rightarrow}1{s}_{1∕2}$ (two-photon) decay of atomic hydrogen are quantum mechanically correlated, i.e., entangled. However, less information is available about the degree of polarization entanglement between the two photons if an arbitrary geometry is considered for collecting the photons. In this paper, we study the effect of the decay geometry on the degree of polarization entanglement between the two emitted photons. Results are shown for the $2{s}_{1∕2}\ensuremath{\rightarrow}1{s}_{1∕2}$ and $3{d}_{5∕2}\ensuremath{\rightarrow}1{s}_{1∕2}$ two-photon transitions of atomic hydrogen. The outlined theory is general and can be applied also to heavier elements. To demonstrate the influence of relativistic and multipole effects, results are also shown for the $3{d}_{5∕2}\ensuremath{\rightarrow}1{s}_{1∕2}$ transition of hydrogenlike uranium.
Physical Review A•Feb 25, 2008•17 citations