Analyzing reduced density matrices in SU(2) Chern-Simons theory
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arXiv
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| Format: | Preprint |
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2025
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| author | Saini, Atesh Dwivedi, Siddharth |
| author_facet | Saini, Atesh Dwivedi, Siddharth |
| contents | We investigate the reduced density matrices obtained for the quantum states in the context of 3d Chern-Simons theory with gauge group SU(2) and Chern-Simons level $k$. We focus on the quantum states associated with the $T_{p,p}$ torus link complements, which is a $p$-party pure quantum state. The reduced density matrices are obtained by taking the $(1|p-1)$ bi-partition of the total system. We show that the characteristic polynomials of these reduced density matrices are monic polynomials with rational coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10098 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analyzing reduced density matrices in SU(2) Chern-Simons theory Saini, Atesh Dwivedi, Siddharth High Energy Physics - Theory Mathematical Physics Quantum Physics We investigate the reduced density matrices obtained for the quantum states in the context of 3d Chern-Simons theory with gauge group SU(2) and Chern-Simons level $k$. We focus on the quantum states associated with the $T_{p,p}$ torus link complements, which is a $p$-party pure quantum state. The reduced density matrices are obtained by taking the $(1|p-1)$ bi-partition of the total system. We show that the characteristic polynomials of these reduced density matrices are monic polynomials with rational coefficients. |
| title | Analyzing reduced density matrices in SU(2) Chern-Simons theory |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2504.10098 |