SAMOP 2023 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 2: Collisions, Scattering and Correlation Phenomena

A 2.3: Vortrag

Montag, 6. März 2023, 11:30–11:45, F107

Entanglement created in collisions governed by the Coulomb interaction — •Yimeng Wang, Karl P. Horn, and Christiane P. Koch — Fachbereich Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

Entanglement or inseparability is central to quantum physics. However, the test for separability can be rather hard to implement with increasing Hilbert space dimension, especially for entanglement in motional degrees of freedom where the von Neumann entropy as well as other quantum entropies are divergent or ill-defined. The goal of this work is to quantify the entanglement of the scattering between an electron and a proton, by calculating the momentum uncertainty of either particle, extending earlier work [1,2] on entanglement in low-energy hydrogen bound states. We inspect both Rydberg states and scattering states and evaluate the behavior of entanglement versus energy near zero, to study the analytical properties of the ``spectrum of entanglement" across the ionization threshold. The quantification of entanglement for scattering states will provide a new perspective on quantum scattering states, and demonstrate the difference between the weakly-bound states, a flat continuum, and shape resonances.

[1] Paolo Tommasini, Eddy Timmermans and A. F. R. de Toledo Piza, Am. J. Phys. 66 881 (1998).

[2] Sofia Qvarfort, Sougato Bose and Alessio Serafini, New J. Phys. 22 093062 (2020).