Quantum entanglement of space domains occupied by interacting electrons

TL;DR

This paper presents a formalism for describing spin-entanglement of two electrons in spatial regions, demonstrating its application through examples including scattering, quantum dots, and the impact of the Kondo effect.

Contribution

It introduces a compact formalism linking spin-entanglement to correlation functions and applies it to various physical scenarios, including the Kondo effect.

Findings

Entanglement generated by electron scattering.

Entanglement in double quantum dots coupled to leads.

Collapse of entanglement due to the Kondo effect.

Abstract

Spin-entanglement of two electrons occupying two spatial regions -- domains -- is expressed in a compact form in terms of spin-spin correlation functions. The power of the formalism is demonstrated on several examples ranging from generation of entanglement by scattering of two electrons to the entanglement of a pair of qubits represented by a double quantum dot coupled to leads. In the latter case the collapse of entanglement due to the Kondo effect is analyzed.