Generalized Uncertainty Principle for Entangled States of Two Identical Particles
Abstract
In this work we determine the consequences of the quantum entanglement of a system of two identical particles when a generalized uncertainty principle (GUP) is considered. GUP's are usually associated with the existence of a minimal length. We focus on the main GUP's (KMM, ADV, Pedram and Nouicer) and then we determine the minimal uncertainties in position induced by those modified GUP's. Our results point out that the minimal uncertainty is reduced by half of its usual value independently of the GUP employed. This implies that the minimal length is also reduced by half. On the other hand, it is generally expected that the minimal length must not depend on physical system. We overcome this apparent paradox by realizing that the entangled system is composed by two particles so that an effective parameter related to the minimal length must be employed.
Keywords
Cite
@article{arxiv.2301.11966,
title = {Generalized Uncertainty Principle for Entangled States of Two Identical Particles},
author = {K. C. Lemos Filho and B. B. Dilem and R. O. Francisco and J. C. Fabris and J. A. Nogueira},
journal= {arXiv preprint arXiv:2301.11966},
year = {2024}
}
Comments
Accepted for publication in the International Journal of Modern Physics D (IJMPD)