An efficient quantum Monte Carlo simulation method-path integral approach to dissipative transport in quantum devices

A novel quantum transport simulation method based on the real-time path integral is presented. Applying the WKB approximation, the density matrix of an electron and phonon bath system is reduced to a numerically tractable form. The WKB approximation brings about two non-Markovian Langevin equations for center-of-mass and relative coordinates. Simulation is reduced to solve these classical equations. Another significant assumption in this formulation is the linear coupling model of electron-phonon interaction. Dissipative tunneling in a quantum well structure can be simulated quite efficiently, including non-Markovian effects.<>