2017/11/30 by Siddharth Dwivedi, Vivek Kumar Singh, Saswati Dhara +3 · 1 citation
Physics and Astronomy · #hep-th #quant-ph
paper · pdf · doi:10.1007/jhep02(2018)163
published as Journal of High Energy Physics 02 (2018) 163 · 31 pages, 5 figures
arxiv created 2018/03/01 · arxiv updated 2018/03/02
We study the entanglement for a state on linked torus boundaries in 3d Chern-Simons theory with a generic gauge group and present the asymptotic bounds of Rényi entropy at two different limits: (i) large Chern-Simons coupling k, and (ii) large rank r of the gauge group. These results show that the Rényi entropies cannot diverge faster than ln k and ln r, respectively. We focus on torus links T(2,2n) with topological linking number n. The Rényi entropy for these links shows a periodic structure in n and vanishes whenever n = 0 (mod \textsfp), where the integer \textsfp is a function of coupling k and rank r. We highlight that the refined Chern-Simons link invariants can remove such a periodic structure in n.