Quantum coherence behaviors of fermionic system in non-inertial frame

TL;DR

This paper investigates how quantum coherence behaves in fermionic systems under relativistic acceleration, revealing coherence transfer, basis-dependent decoherence, and the comparative robustness of coherence and discord over entanglement.

Contribution

It extends the analysis of quantum coherence in relativistic fermionic systems beyond the single-mode approximation, highlighting coherence transfer and quantifier behaviors at high acceleration.

Findings

Quantum coherence transfers between particle and antiparticle sectors.

Cohering power of Unruh channel vanishes; decohering power depends on mode and acceleration.

Quantum coherence and geometric discord are more robust than entanglement under acceleration.

Abstract

In this paper, we analyse the quantum coherence behaviors of a single qubit in the relativistic regime beyond the single-mode approximation. Firstly, we investigate the freezing condition of quantum coherence in fermionic system. We also study the quantum coherence tradeoff between particle and antiparticle sector. It is found that there exists quantum coherence transfer between particle and antiparticle sector, but the coherence lost in particle sector is not entirely compensated by the coherence generation of antiparticle sector. Besides, we emphatically discuss the cohering power and decohering power of Unruh channel with respect to the computational basis. It is shown that cohering power is vanishing and decohering power is dependent of the choice of Unruh mode and acceleration. Finally, We compare the behaviors of quantum coherence with geometric quantum discord and entanglement in relativistic setup. Our results show that this quantifiers in two region converge at infinite acceleration limit, which implies that this measures become independent of Unruh modes beyond the single-mode approximations. It is also demonstrated that the robustness of quantum coherence and geometric quantum discord are better than entanglement under the influence of acceleration, since entanglement undergoes sudden death.