Quantum Entanglement and Thermodynamics of Boson-Antiboson Pair Creation Modes in the Noncommutative Bianchi I Universe

TL;DR

This paper investigates how quantum entanglement entropy of boson-antiboson pairs is affected by noncommutative geometry and spacetime curvature in a Bianchi I universe, revealing dependencies on noncommutativity parameters and mode structures.

Contribution

It introduces a study of quantum entanglement entropy in noncommutative curved spacetime, highlighting the influence of noncommutativity and spacetime anisotropy on pair creation.

Findings

Entanglement entropy depends strongly on the noncommutativity parameter θ.

The behavior of entanglement varies with k_perp-frequency modes.

Relationship between Bose-Einstein condensation and quantum entanglement is discussed.

Abstract

Within the quantum field theory approach and using the technique of Bogoliubov transformations, the von Neumann boson-antiboson pair creation quantum entanglement entropy is studied in the context of the noncommutative Bianchi I universe. It is shown that the latter have a behavior depending strongly on the choice of the noncommutativity {\theta} parameter, k_{\perp}-frequency modes and the structure of the curved spacetime. Moreover, the relationship between the Bose-Einstein condensation and quantum entanglement is also discussed.