Time Propagation and Spectroscopy of Fermionic Systems Using a Stochastic Technique

We present a stochastic method for solving the time-dependent Schr\"odinger equation, generalizing a ground-state full configuration interaction Quantum Monte Carlo method. By performing the time-integration in the complex plane close to the real time axis, the numerical effort is kept manageable and the analytic continuation to real frequencies is efficient. This allows us to perform {\it ab initio} calculation of electron spectra for strongly correlated systems. The method can be used as cluster solver for embedding schemes.