A study of the spin 1 Unruh-De Witt detectors

TL;DR

This paper investigates how spin 1 Unruh-De Witt detectors interacting with a quantum field can both increase or decrease Bell inequality violations, revealing unique quantum effects for qutrit systems.

Contribution

It introduces a detailed analysis of spin 1 detectors' effects on Bell inequality violations, highlighting differences from spin 1/2 systems and the role of Tsirelson's bound.

Findings

Both increasing and decreasing Bell violation effects observed for spin 1 detectors.

Quantum field interactions do not always diminish nonlocal correlations in qutrit systems.

Tsirelson's bound is not saturated in the case of spin 1 systems.

Abstract

A study of the spin 1 Unruh-De Witt detectors interacting with a relativistic scalar quantum field is presented. After tracing out the field modes, the resulting density matrix for a bipartite qutrit system is employed to investigate the violation of the Bell-CHSH inequality. Unlike the case of spin $1/2$, for which the effects of the quantum field result in a decreasing of the size of violation, in the case of spin $1$ both decreasing and increasing of the violation may occur. This effect is ascribed to the fact that Tsirelson's bound is not saturated in the case of qutrits.