Spectral properties of correlated systems with electron-phonon coupling

Results from a variety of experiments, including single particle probes such as ARPES and STM, and multi-particle spectroscopies such as optical and Raman responses, have revealed the importance of the electron-phonon interaction in strongly correlated electron materials. We present a determinant quantum Monte Carlo study of the single-band Hubbard-Holstein model, which treats electron-electron and electron-phonon interactions on an equal footing. We focus on the behavior of the single- and multi-particle dynamical properties of the model, such as the spectral function and optical conductivity, as a function of electron-phonon coupling and Hubbard U.