Maths HEP Lunchtime Seminars: The Entanglement Entropy of Solvable Lattice Models
16 June 2006 00:00 in CM221
"I will define the entanglement entropy S associated with the division of a quantum system into two pieces. I will consider S for a quantum spin chain split into two semi-infinite parts. Such a quantity turns out to be a very natural one to consider withing the existing picture of integrable quantum spin chains - it is closely related to Baxter's corner transfer matrix. I will present the results of an exact computation of S for the spin k/2 XXZ chain. The simple form of this S in the scaling limit involves both the central charge and boundary entropy of the UV conformal field theory. I will point out that these results are both consistent with and extend existing CFT results."