Mutual information harvesting for circularly accelerated detectors

TL;DR

This paper studies how two circularly accelerated detectors harvest mutual information from a scalar field near a boundary, revealing oscillatory behaviors influenced by acceleration, separation, and boundary effects.

Contribution

It analyzes the effects of circular acceleration and boundary proximity on mutual information harvesting, highlighting oscillatory patterns and the impact of various parameters.

Findings

Mutual information exhibits oscillations with increasing acceleration and separation.

Larger acceleration increases the peak mutual information for fixed radius.

Boundary effects enhance oscillatory behavior of mutual information.

Abstract

We investigate the mutual information harvesting of two circularly accelerated detectors that interact with the massless scalar fields near a reflecting boundary. We consider that the two detectors share a common rotational axis with the same acceleration and trajectory radius. As the interdetector separation increases, the mutual information may exhibit oscillatory behavior at large acceleration and small radius. For a fixed radius, a larger acceleration leads to a larger peak value of the mutual information. Near the boundary, the mutual information may oscillate and the maximum can be obtained. As the acceleration increases, the mutual information in a small interdetector separation first increases and then decreases. For an intermediate interdetector separation, the mutual information may oscillate with the increase of acceleration. For a not large interdetector separation, when we take large acceleration and small radius, as the energy gap increases, the mutual information first decreases, then oscillates, and finally goes to zero. The combination of large acceleration and small radius corresponds to the fast rotation, which significantly modifies the vacuum fluctuations of the field, leading to the oscillatory behavior. Furthermore, the oscillation intensifies near the boundary, which indicates that it is related to the coherent superposition of boundary reflections.