Kinematic entanglement degradation of fermionic cavity modes

TL;DR

This paper investigates how entanglement and non-locality of a massless Dirac field in a cavity are affected by relativistic motion, showing that correlations can be preserved through precise timing of trajectory segments.

Contribution

It provides analytic results on entanglement degradation in fermionic cavities during relativistic motion and highlights differences from bosonic cases, with potential for correlation preservation.

Findings

Correlations are periodic in trajectory durations.

Fine-tuning segment durations can prevent correlation degradation.

Differences between fermionic and bosonic correlations are identified.

Abstract

We analyse the entanglement and the non-locality of a (1+1)-dimensional massless Dirac field confined to a cavity on a worldtube that consists of inertial and uniformly accelerated segments, for small accelerations but arbitrarily long travel times. The correlations between the accelerated field modes and the modes in an inertial reference cavity are periodic in the durations of the individual trajectory segments, and degradation of the correlations can be entirely avoided by fine-tuning the individual or relative durations of the segments. Analytic results for selected trajectories are presented. Differences from the corresponding bosonic correlations are identified and extensions to massive fermions are discussed.