Entanglement Entropy with Background Gauge Fields

Autor:	Kim, Bom Soo
Rok vydání:	2017
Předmět:	High Energy Physics - Theory Condensed Matter - Statistical Mechanics Quantum Physics
Zdroj:	JHEP 1708 (2017) 041
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP08(2017)041
Popis:	We study the entanglement entropy, the R\'enyi entropy, and the mutual (R\'enyi) information of Dirac fermions on a 2 dimensional torus in the presence of constant gauge fields. We derive their general formulas using the equivalence between twisted boundary conditions and the background gauge fields. Novel and interesting physical consequences have been presented in arXiv:1705.01859. Here we provide detailed computations of the entropies and mutual information in a low temperature limit, a large radius limit, and a high temperature limit. The high temperature limit reveals rather different physical properties compared to those of the low temperature one: there exist two non-trivial limits that depend on a modulus parameter and are not smoothly connected. Comment: 37 pages, v2: some formulas in section 4.3 are corrected
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1706.07110 Zobrazit plný text záznamu View this record from Arxiv