2025/06/12 by Helmuth Hüffel, Huffel, Helmuth, Gerald Kelnhofer +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #Entropy (arrow of time) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Joint quantum entropy #Quantum entanglement #Quantum relative entropy #Squashed entanglement #Topological entropy in physics #Torus #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2506.11292
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/06/12 · openalex created_date 2025/10/11 · openalex updated_date 2026/08/05
In this paper, we focus on the entanglement entropy associated with a particle confined to a torus with constant metric and θ-terms related to a constant external U(1)-gauge field. Through this investigation, we aim to elucidate the interplay between geometric properties, topological terms, and entanglement entropy. Remarkably, we find that the presence of non-vanishing entanglement entropy is closely tied to fixing the metric. This insight highlights the significant influence of quantum entanglement on our understanding of quantum dynamics in complex spatial configurations.