1208.3503 (Raul A. Santos)

Bulk-Boundary correspondence of entanglement spectrum in 2D spin ground
states    [PDF]

Raul A. Santos

General local spin $S$ ground states, described by a Valence Bond Solid (VBS) on a two dimensional lattice are studied. The norm of these ground states is mapped to a classical O(3) model on the same lattice. Using this quantum-to-classical mapping we obtain the partial density matrix $\rho_{A}$ associated with a subsystem ${A}$ of the original ground state. We show that the entanglement spectrum of $\rho_{\rm A}$ in a translation invariant lattice is related with the spectrum of a quantum ${\rm XXX}$ Heisenberg model and all its conserved charges on the boundary of the region ${A}$.

View original: http://arxiv.org/abs/1208.3503