From 12th - 18th December Dr Moitri Maiti from the Bogoliubov Laboratory of Theoretical Physics will be visiting the spintronics group. Dr Maiti works on topological systems and dynamics and whilst here she will present a seminar on "Entanglement and Majorana edge modes in the Kitaev model" on 13th December at 10:30 in K45A.
Abstract: We investigate entanglement measures in an exactly solvable 2D quantum spin model, namely, the Kitaev model. The Kitaev model on the honeycomb lattice is an example of a system with long-range entanglement (LRE) having intrinsic topological order and are known to exhibit exotic properties as topologically dependent degenerate ground states, fractional excitations and so on. I will discuss analysis of the von Neumann entanglement entropy and Schmidt gap in the vortex-free ground state of the Kitaev model for square/rectangular and cylindrical subsystems and
show how the gapless edge states influence the qualitative behaviour of these measures.