Anomalous exchange correlation of quasiparticles with entangled Nambu spinors

TL;DR

This paper explores how entanglement in Nambu spinors affects charge correlations in quantum Hall edge states, revealing a novel relationship that enables entanglement detection through current measurements.

Contribution

It demonstrates that Nambu spinor entanglement uniquely influences current correlations, contrasting with traditional spin entanglement effects, and proposes a practical implementation in quantum Hall systems.

Findings

Singlet (triplet) entanglement suppresses (enhances) current correlation.

Charge degree of freedom encodes the entanglement.

Proposed detection method using gate-tunable quantum Hall edge states.

Abstract

Entanglement of spin degree of freedom can drastically alter the orbital exchange symmetry of electrons, switching their bunching and antibunching behaviors and the resultant current correlations in the Hanbury-Brown-Twiss interferometry. Here, we investigate the exchange correlation of quasiparticles with entanglement encoded in the Nambu spinors, or the electron-hole degree of freedom. In contrast to the conventional correspondence between spin entanglement and current correlation, we find that singlet (triplet) entanglement of Nambu spinors results in suppressed (enhanced) current correlation. This effect arises because the charge degree of freedom itself encodes the entanglement. We propose implementing this phenomenon in the edge states of a quantum Hall system, where the entangled states of the Nambu spinors can be continuously tuned by gate voltages. Our study reveals a novel relationship between entanglement and charge correlations, offering an effective approach for detecting entanglement of Nambu spinors.