Strongly Correlated Two-Electron Transport in a Quantum Waveguide Having a Single Anderson Impurity

TL;DR

This paper presents an exact solution for two-electron transport in a quantum waveguide with an Anderson impurity, revealing spin-dependent filtering and entanglement generation.

Contribution

It introduces a Bethe ansatz solution showing how a single impurity can act as a spin-based filter and entangler for electron pairs in a one-dimensional channel.

Findings

Transport differs for spin singlet and triplet states.

The impurity acts as a spin filter based on total spin.

Deterministic entanglement generation in spin and energy space.

Abstract

The strongly correlated two-electron transport in one-dimensional channel coupled with an Anderson-type impurity is solved exactly via a Bethe ansatz approach. We show that the transport properties are fundamentally different for spin singlet and triplet states, thus the impurity acts as a novel filter that operates based on the total spin angular momentum of the electron pairs, but not individual spins. The filter provides a deterministic generation of electron entanglement in spin, as well as energy and momentum space.