Heralded Entanglement Transfer from Entangled Atomic Pair to Free Electrons

TL;DR

This paper introduces a protocol for transferring entanglement from atomic systems to free electrons, enabling heralded generation of entangled electrons for quantum electron optics.

Contribution

It presents a novel method for entanglement transfer from atomic two-level systems to free electrons, including analytical and numerical analysis of the process.

Findings

Derives closed-form reduced states in a controlled regime.

Shows TLS heralding can produce maximally entangled electrons.

Quantifies effects of detuning and pulse shaping on entanglement transfer.

Abstract

We propose a protocol that transfers entanglement from an entangled atomic two-level-system (TLS) resource to a pair of free electrons in an energy-sideband ladder via local electron-TLS interactions. In a controlled rotating-wave regime, closed-form reduced states are derived. TLS heralding then prepares a maximally entangled electron state in a two-dimensional single-excitation manifold, with a simple dependence on the initial TLS resource entanglement. Numerical integration of the full bilinear Hamiltonian quantifies the impacts of detuning and pulse shaping and identifies the leading beyond-rotating-wave corrections. The results establish a heralded route to entangled free electrons and will facilitate further advances in quantum electron optics.