Universal Relation Between Quantum Entanglement and Particle Transport

• URL: http://arxiv.org/abs/2507.19731v1
• Date: Sat, 26 Jul 2025 01:09:12 GMT
• Title: Universal Relation Between Quantum Entanglement and Particle Transport
• Authors: Elvira Bilokon, Valeriia Bilokon, Abhijit Sen, Mohammed Th. Hassan, Andrii Sotnikov, Denys I. Bondar,
• Abstract summary: Entanglement entropy is a fundamental measure of quantum correlations.<n>We uncover a universal relationship between bipartite entanglement entropy and particle number after the barrier in a one-dimensional Fermi-Hubbard system.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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