Tunable entanglement resource in elastic electron-exchange collisions out of chaotic spin systems

Relativistic calculations for spin-polarization of elastic electron—mercury scattering

“…The spin-polarization parameters S(θ), U (θ) and T (θ)-the delicate scattering characteristics [2][3][4][5]-are used not only as battle probes for determining the accuracy of the model employed, but also play a critical role in understanding the spin-dependent interactions involved in the collision dynamics. Recently, it has been shown, in the works of Blum group [6,7] on e --H and Bartschat and Santos [8] on e --Li scattering, that spin-polarization S(θ), the Sherman function, arises also from the quantum spin-entanglement of the projectile-target system in addition to the separable total spin and Bell correlation, depending on the collision energy and scattering angle.…”

Spin entanglement in elastic electron scattering from lithium atoms

“…Although these resonances would likely be washed out in practice due to the finite energy resolution (they are real, but not visible in Fig. 7 of [2], presumably due to the energy grid chosen in the calculations), it seems advisable to avoid the resonance regime from 3 eV up to the ionization threshold when choosing the energy. Figure 2 exhibits our results for a fixed energy of 3 eV as a function of the scattering angle.…”

“…In two recent publications, Blum and Lohmann [1] and Lohmann et al [2] discussed a tunable entanglement in elastic electron collisions with atomic hydrogen or light alkali atoms, where explicitly spin-dependent interactions may be neglected and the process is completely described by two independent parameters, namely the absolute angle-differential cross section (DCS) and a spin-correlation parameter P , which (except for the opposite sign) is the exchange asymmetry A ex that was measured by the Bielefeld [3,4] and NIST [5] groups many years ago. Due to the available experimental data, Lohmann et al [2] presented results for P = −A ex from various close-coupling calculations for atomic hydrogen and sodium, but only for selected energies as a function of the scattering angle, and for lithium, but only at selected angles as a function of energy.…”

“…Due to the available experimental data, Lohmann et al [2] presented results for P = −A ex from various close-coupling calculations for atomic hydrogen and sodium, but only for selected energies as a function of the scattering angle, and for lithium, but only at selected angles as a function of energy.…”

“…The essential point regarding spin entanglement is the following [1,2]: After the collision, the projectile and the target valence electron are correlated. Depending on the collision energy and the scattering angle, the correlation can be classified by the value of [3] …”