Entanglement entropy for non-zero genus topologies

Autor:	Kumar, S. Santhosh, Ghosh, Suman, Shankaranarayanan, S.
Rok vydání:	2014
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics
Zdroj:	Phys. Rev. D 89, 065019 (2014)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.89.065019
Popis:	Over the last three decades entanglement entropy has been obtained for quantum fields propagating in genus zero topologies (Spheres). For scalar fields propagating in these topologies, it has been shown that the entanglement entropy scales as area. In the last few years non-trivial topologies are increasingly relevant for different areas. For instance, in describing quantum phases, it has been realized that long-range entangled states are described by topological order. If quantum entanglement can plausibly provide explanation for these, it then imperative to obtain entanglement entropy in these topologies. In this work, using two different methods, we explicitly show that the entanglement entropy scales as area of the genus-1 geometry. Comment: 13 Pages, 8 Figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1401.2839 Zobrazit plný text záznamu View this record from Arxiv