  Recent advances in the field of strongly correlated electron systems allow to
access the entanglement properties of interacting fermionic models, by means of
Monte Carlo simulations. We briefly review the techniques used in this context
to determine the entanglement entropies and correlations of the entanglement
Hamiltonian. We further apply these methods to compute the spin two-point
function of entanglement Hamiltonian for a stripe embedded into a correlated
topological insulator. Further we discuss a recent method that allows an
unbiased, numerically exact, direct determination of the entanglement
Hamiltonian by means of auxiliary field quantum Monte Carlo simulations.
