Universal Relation Between Quantum Entanglement and Particle Transport
Fuente:
arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913960482045952 |
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| author | Bilokon, Elvira Bilokon, Valeriia Sen, Abhijit Hassan, Mohammed Th. Sotnikov, Andrii Bondar, Denys I. |
| author_facet | Bilokon, Elvira Bilokon, Valeriia Sen, Abhijit Hassan, Mohammed Th. Sotnikov, Andrii Bondar, Denys I. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19731 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal Relation Between Quantum Entanglement and Particle Transport Bilokon, Elvira Bilokon, Valeriia Sen, Abhijit Hassan, Mohammed Th. Sotnikov, Andrii Bondar, Denys I. Quantum Physics Strongly Correlated Electrons 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. |
| title | Universal Relation Between Quantum Entanglement and Particle Transport |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2507.19731 |