Entanglement measures in the Kitaev model

Seminars

Theory of Condensed Matter – Seminar “Statistical Mechanics”

Date and Time: Tuesday, 16 January 2018, at 4:00 PM

Venue: Blokhintsev Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics

Seminar topic: «Entanglement measures in the Kitaev model»

Speaker: Moitri Maiti (BLTP, JINR)

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.