Speaker
Description
The entanglement entropy is a quantity encoding important features of
strongly interacting quantum many-body systems and gauge theories, but
its analytical study is still limited to systems with high level of
symmetry. This motivates the search for efficient techniques to
investigate this quantity numerically, by means of Monte Carlo
calculations on the lattice. In this talk, we present a lattice
determination of the entropic c-function using a novel algorithm based
on Jarzynski's equality: an exact theorem from nonequilibrium statistical mechanics. After presenting benchmark results for the Ising
model in two dimensions, where our algorithm successfully reproduces the
analytical predictions from conformal field theory, we discuss its
generalization to the three dimensional Ising model, for which we were
able to extract universal terms beyond the area law. Finally we comment
on future applications to gauge theories.
