Entanglement dynamics of a two-particle scattering in pulsed sinusoidal potentials

TL;DR

This paper investigates how a pulsed sinusoidal potential influences the entanglement generated during Coulomb scattering of two charged particles, revealing the role of wavefunction splitting in quantum correlations.

Contribution

It introduces a numerical simulation approach to analyze entanglement dynamics in pulsed sinusoidal potentials, highlighting the impact of potential parameters on quantum correlations.

Findings

Wavefunction splitting affects entanglement formation.

Final entanglement depends on pulse parameters.

Results applicable to electrons in semiconductors and cold-ion systems.

Abstract

We study by means of time-dependent numerical simulations the behavior of the entanglement stemming from the Coulomb scattering between two charged particles subject to a pulse of sinusoidal potential. We show that the splitting of the spatial wavefunction brought about by the interaction with the potential pulse plays a key role in the appearance of quantum correlation, thus leading under specific conditions to a peculiar behavior. The dependence of the final entanglement upon the physical parameters describing the pulse is discussed. Our results can be applied to a number of physical systems, such as electron-electron scattering in semiconductors or cold-ions dynamics in external fields.