Monte Carlo methods for real-time quantum dynamics of dissipative systems

Abstract

A numerical path integral technique based upon a quasiclassical Langevin equation is presented for the calculation of quantum mechanical properties of a system coupled to a dissipative bath. Fully quantum mechanical results are obtained by decorating quasiclassical paths with quantum fluctuations. The use of diophantine integration has been compared to Monte Carlo sampling of the fluctuation variables. Results are presented for several model systems.