Quantum coherence measures in entangled atomic systems

TL;DR

This paper examines how Lorentz transformations influence quantum coherence in entangled atomic systems, revealing that relativistic boosts generally diminish coherence depending on system parameters.

Contribution

It introduces a detailed analysis of relativistic effects on quantum coherence in entangled Gaussian wave packets, considering different scenarios of particle boosts.

Findings

Coherence decreases with increasing Gaussian width.

Higher boost parameters lead to reduced coherence.

Boosting more particles further diminishes coherence.

Abstract

In this study, we investigate the effect of the Lorentz transformation on the measures of quantum coherence in an entangled atomic system. Here, we consider the effect of this relativistic boosts on two-particle entangled generalized Gaussian wave packets in two scenarios. In the first scenario, we consider that the relativistic boost affects the one particle and other remains unaffected while in the second scenario, we consider that both the particles are affected by the effect of the relativistic boost. The coherence of the wave function as measured by the boosted observer is studied as a function of the boost parameter and the width of the Gaussian wave packets. Using various formulations of coherence, it is shown that in general the coherence decays with increase in the width of the Gaussian wave packet, higher values of boost parameter, and the number of particles on which boost is applied.