  We describe the extension of the density matrix embedding theory (DMET)
framework to coupled interacting fermion-boson systems. This provides a
frequency-independent, entanglement embedding formalism to treat bulk
fermion-boson problems. We illustrate the concepts within the context of the
one-dimensional Hubbard-Holstein model, where the phonon bath states are
obtained from the Schmidt decomposition of a self-consistently adjusted
coherent state. We benchmark our results against accurate density matrix
renormalization group calculations.
