Decoherence of Dirac-particle quantumness for fermionic fields in a dilatonic black hole

TL;DR

This paper investigates how the quantumness of Dirac particles in a dilatonic black hole diminishes with increasing dilaton parameter, analyzing the effects of external noise and black hole parameters on quantum coherence and nonlocality.

Contribution

It introduces a general Bloch vector representation of quantum channels in black hole spacetimes beyond the single mode approximation and studies the interplay of noise and black hole effects on quantum properties.

Findings

Quantum channel quantumness decreases with higher dilaton parameter.

Quantum nonlocality decays monotonously in weak coupling, revives in strong coupling.

External reservoir noise can protect quantum coherence and steerability.

Abstract

The quantumness of Dirac paticles for quantized fields in a dilatonic black hole is estimated by means of quantum channel. We develop a general Bloch vector representation of quantum channel in black hole spacetimes beyond single mode approximation. The nonclassicality of Dirac particles can be measured by the minimization of quantum coherence over all orthonormal basis sets. The quantumness of the channel decreases as the dilaton parameter increases. The interplay between the external reservoir noise and dilaton black hole on the dynamical behavior of quantum coherence and steerability is investigated in the Pauli basis. The external environment is modelled by a random telegraph noise channel. The monotonous decay of quantum nonlocality occurs in the weak coupling case. The degradation and revival of quantum nonlocality are observed in the strong coupling condition. It is found that quantum fluctuation effects of the external reservoir can protect quantum coherence and steerability from the information loss of the black hole.