Long-time joint spectra and entanglement of two photoelectrons originating in interacting auto-ionization systems

TL;DR

This paper analyzes the long-time joint spectra and entanglement of two photoelectrons from interacting auto-ionization systems, providing analytical solutions and conditions for highly entangled states.

Contribution

It introduces an analytical approach to study joint electron spectra and entanglement in interacting auto-ionization systems, highlighting conditions for maximal entanglement.

Findings

Analytical expressions for joint spectra in the long-time limit.

Identification of conditions for highly entangled electron states.

Quantification of entanglement using quadratic negativity.

Abstract

Two auto-ionization systems in a stationary optical field mutually interacting via the dipole-dipole interaction are considered. Their evolution is analytically found. Joint spectra of two ionized electrons are analyzed in detail in the long-time limit for comparable strengths of direct and indirect ionization paths as well as the dominating indirect ionization path. Entanglement in the state of two ionized electrons is quantified using the density of quadratic negativity. Suitable conditions for obtaining highly entangled states are discussed.