Exploring Entanglement Entropy for a Particle on a Torus with constant Metric and constant $U(1)$-Gauge Field
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915340747800576 |
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| author | Huffel, Helmuth Kelnhofer, Gerald |
| author_facet | Huffel, Helmuth Kelnhofer, Gerald |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11292 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exploring Entanglement Entropy for a Particle on a Torus with constant Metric and constant $U(1)$-Gauge Field Huffel, Helmuth Kelnhofer, Gerald High Energy Physics - Theory 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. |
| title | Exploring Entanglement Entropy for a Particle on a Torus with constant Metric and constant $U(1)$-Gauge Field |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.11292 |