Correlations of spin-polarized and entangled electrons with Berry phase

TL;DR

This paper theoretically investigates how rotating magnetic fields influence the correlations and fluctuations of entangled and spin-polarized electron pairs, revealing controllable quantum behaviors and potential experimental signatures.

Contribution

It introduces a scattering approach to analyze the effects of magnetic fields on entangled electron pairs, highlighting their composite particle behavior and state-dependent correlation features.

Findings

Entangled electron pairs behave as composite particles with total spin characteristics.

Singlet and triplet states show distinct bunching and antibunching behaviors.

Correlations can be tuned by magnetic fields and detected via coincidence measurements.

Abstract

The correlation and fluctuation of both entangled electrons and spin-polarized pairs affected by two rotating magnetic fields in a setup proposed by J. Carlos Egues etc. (Phys. Rev. Lett. {\bf 89}(2002) 176401) are studied theoretically by using scattering approach. Differing from polarized pair, the entangled electron pairs are shown to behave like a composite particle with the total spins and its $z$ components. The singlet and triplet states exhibit different bunching and antibunching features, which can be easily adjusted by the magnetic fields. The correlations and variances can show up distinguish output signals for the four incident states. Our results are expected to be tested by using coincident technique.