Extracting universal features of the 2+1 critical Ising model via entanglement scaling

Entanglement entropy has emerged as new a paradigm for studying and characterizing condensed matter systems. The scaling of entropy with the size of the entangled region can reveal universal features of the continuum theory which underlies a lattice model. We perform large-scale Monte-Carlo simulations of a 2+1 Ising model tuned to its critical temperature, belonging to the universality class of the Wilson-Fisher fixed point. We study the universal shape-dependent contribution to the entanglement entropy between two complementary cylindrical regions on finite lattices. In the thin strip limit, we extract a universal constant and relate it to its corresponding value for a free scalar field theory.