Classical correlation and quantum discord sharing of Dirac fields in noninertial frames

TL;DR

This paper explores how classical and quantum correlations in Dirac fields are affected by acceleration in noninertial frames, revealing unique behaviors distinct from scalar fields, including correlation decay and mode-dependent changes.

Contribution

It provides new insights into the behavior of correlations in Dirac fields under acceleration, highlighting differences from scalar fields and enriching understanding of relativistic quantum information.

Findings

Classical correlation decreases with acceleration, unlike scalar fields.

Quantum correlation does not always dominate entanglement in Dirac fields.

Correlations between certain modes increase or decrease with acceleration.

Abstract

The classical and quantum correlations sharing between modes of the Dirac fields in the noninertial frame are investigated. It is shown that: (i) The classical correlation for the Dirac fields decreases as the acceleration increases, which is different from the result of the scalar field that the classical correlation is independent of the acceleration; (ii) There is no simple dominating relation between the quantum correlation and entanglement for the Dirac fields, which is unlike the scalar case where the quantum correlation is always over and above the entanglement; (iii) As the acceleration increases, the correlations between modes $I$ and $II$ and between modes $A$ and $II$ increase, but the correlations between modes $A$ and $I$ decrease.