Bell nonlocality in maximal-length quantum mechanics

TL;DR

This paper explores how maximal length and minimal momentum scales, modeled via the extended uncertainty principle, affect quantum nonlocal correlations, showing that correlations diminish with a positive cosmological constant, potentially leading to classical behavior.

Contribution

It introduces a phenomenological model linking maximal length scales with quantum nonlocality degradation, connecting cosmological effects to quantum correlations.

Findings

Quantum correlations decrease with a positive cosmological constant.

Classicality may emerge at large distances due to correlation degradation.

Extended uncertainty principle models impact on nonlocal quantum effects.

Abstract

In this paper, we investigate the consequences of maximal length as well as minimal momentum scales on nonlocal correlations shared by two parties of a bipartite quantum system. To this aim, we rely on a general phenomenological scheme which is usually associated with the non-negligible spacetime curvature at cosmological scales, namely the extended uncertainty principle. In so doing, we find that quantum correlations are degraded if the deformed quantum mechanical model mimics a positive cosmological constant. This opens up the possibility to recover classicality at sufficiently large distances.