Analyzing reduced density matrices in SU(2) Chern-Simons theory

2025/04/14 by Saini, Atesh, Siddharth Dwivedi, Dwivedi, Siddharth
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions #Quantum Physics (quant-ph) #Quantum many-body systems #Topological Materials and Phenomena

paper · doi:10.48550/arxiv.2504.10098

openalex publication_date 2025/04/14 · openalex created_date 2025/10/14 · openalex updated_date 2026/07/28

Abstract

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.

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