Quantum correlation between a qubit and a relativistic boson in an expanding spacetime

TL;DR

This paper investigates how quantum correlations between a qubit and a relativistic boson in an expanding universe can reveal information about spacetime structure, showing that these correlations decrease with expansion but can be used to infer cosmological history.

Contribution

It introduces a novel analysis of quantum correlations involving relativistic bosons in an expanding spacetime, highlighting their potential in observational cosmology.

Findings

Quantum correlations decrease with universe expansion.

Smaller boson momentum and medium mass favor information extraction.

Mutual information can be generated through universe expansion.

Abstract

We use the quantumcorrelation of both logarithmic negativity andmutual information between a qubit and a relativistic boson to analyze the dynamics of Universe expansion. These dynamical quantum correlations can encode the information about underlying spacetime structure, which suggests a promising application in observational cosmology. We find that the dynamics of both logarithmic negativity and mutual information between the qubit and the boson are very similar. They decrease monotonically with the growth of the expansion volume and the expansion rate. Smaller momentum and medium-sized mass of boson are more favourable for extracting the information about history of Universe expansion. The quantum correlation between the qubit and the antiboson however has very different behavior: the logarithmic negativity is always zero and the mutual information can be generated through the expansion of Universe. Smaller momentum and medium-sized mass of antiboson are beneficial for the production of mutual information. Finally, the trigger phenomenon and conservation for mutual information are witnessed.