Quantum Parameter Estimation in the Unruh-DeWitt detector model

TL;DR

This paper investigates how relativistic effects influence quantum metrology precision using the Unruh-DeWitt detector model, revealing a monotonic decrease in phase sensitivity and proposing boundary conditions to enhance measurement accuracy.

Contribution

It introduces a detailed analysis of quantum Fisher information dynamics for accelerated atoms and explores boundary effects to improve relativistic quantum metrology.

Findings

Quantum Fisher information decreases monotonically with Rindler proper time.

Boundary conditions can mitigate the loss of phase sensitivity.

Relativistic motion impacts quantum measurement precision significantly.

Abstract

Relativistic effects on the precision of quantum metrology for particle detectors, such as two-level atoms are studied. The quantum Fisher information is used to estimate the phase sensitivity of atoms in non-inertial motions or in gravitational fields. The Unruh-DeWitt model is applicable to the investigation of the dynamics of a uniformly accelerated atom weakly coupled to a massless scalar vacuum field. When a measuring device is in the same relativistic motion as the atom, the dynamical behavior of quantum Fisher information as a function of Rindler proper time are obtained. It is found out that monotonic decrease in phase sensitivity is characteristic of dynamics of relativistic quantum estimation. To improve relativistic quantum metrology, we reasonably take into account two reflecting plane boundaries perpendicular to each other.