Entangled Hanbury Brown Twiss effects with edge states

TL;DR

This paper explores how edge state geometries in electronic systems exhibit Hanbury Brown Twiss correlations, revealing flux-sensitive fourth-order interference effects linked to orbital entanglement, even without Aharonov-Bohm effects.

Contribution

It demonstrates that fourth-order interference in edge state geometries can reveal flux sensitivity and orbital entanglement, even when second-order effects show no such dependence.

Findings

Fourth-order interference is flux-sensitive despite no Aharonov-Bohm effect in conductance.

Orbital entanglement can be detected via Bell inequality violation.

Correlation functions reveal entanglement from uncorrelated sources.

Abstract

Electronic Hanbury Brown Twiss correlations are discussed for geometries in which transport is along adiabatically guided edge channels. We briefly discuss partition noise experiments and discuss the effect of inelastic scattering and dephasing on current correlations. We then consider a two-source Hanbury Brown Twiss experiment which demonstrates strikingly that even in geometries without an Aharonov-Bohm effect in the conductance matrix (second-order interference), correlation functions can (due to fourth-order interference) be sensitive to a flux. Interestingly we find that this fourth-order interference effect is closely related to orbital entanglement. The entanglement can be detected via violation of a Bell Inequality in this geometry even so particles emanate from uncorrelated sources.