Petra Scudo (SISSA - Trieste)

Entanglement in the quantum Ising model
 

We study the correlation properties of the ground state 
of the quantum Ising model. Using a mapping to a continuum random-cluster
model, we derive a stochastic representation for the density operator of a
block of spins embedded in a one-dimensional lattice.
We further prove a general theorem, valid also in the case of random
interactions, on the upper bound of the quantum entanglement of the given block
with respect to the rest of the lattice.