## Real-time dynamics from imaginary-time quantum Monte Carlo simulations: Tests on oscillator chains

We used methods of Bayesian statistical inference and the principle of maximum entropy to analytically continue imaginary-time Green{close_quote}s functions generated in quantum Monte Carlo simulations to obtain the real-time Green{close_quote}s functions. For test problems, we considered chains of harmonic and anharmonic oscillators whose properties we simulated by a hybrid path-integral quantum Monte Carlo method. From the imaginary-time displacement-displacement Green{close_quote}s function, we first obtained its spectral density. For harmonic oscillators, we demonstrated the peaks of this function were in the correct position and their areas satisfied a sum rule. Additionally, as a function of wave number, the peak positions followed themore »