HEP Theory Journal Club

Entanglement Entropy and Link Invariants

Tal Sheaffer

McGill

We study the entanglement properties of states produced from path integrals on link complements in Chern Simons theory. I will discuss two results from a recent paper by Balasubramanian et al. (arXiv 1801.01131). It is shown that, given a link in S³, the minimal-genus surface separating two sub-links gives an upper bound on the entropy of entanglement between them. Secondly, the states associated with torus links (links that can be drawn on the surface of a torus) are shown to have a GHZ-like entanglement structure.