Universal Relation Between Quantum Entanglement and Particle Transport
Abstract
Entanglement entropy is a fundamental measure of quantum correlations and a key resource underpinning advances in quantum information and many-body physics. We uncover a universal relationship between bipartite entanglement entropy and particle number after the barrier in a one-dimensional Fermi-Hubbard system with an external asymmetric potential. Using Kolmogorov-Arnold Networks - a novel machine learning architecture - we learn this relationship across a broad range of interaction strengths with near-perfect predictive accuracy. Furthermore, we propose a simple analytical binary-entropy-like expression that quantitatively captures the observed correlation for fixed parameters. Our findings open new avenues for characterizing quantum correlations in transport phenomena and provide a powerful framework for predicting entanglement evolution in quantum systems.
Cite
@article{arxiv.2507.19731,
title = {Universal Relation Between Quantum Entanglement and Particle Transport},
author = {Elvira Bilokon and Valeriia Bilokon and Abhijit Sen and Mohammed Th. Hassan and Andrii Sotnikov and Denys I. Bondar},
journal= {arXiv preprint arXiv:2507.19731},
year = {2025}
}
Comments
6 pages, 4 figures