Particle-grid techniques for semiclassical and quantum transport simulations

Abstract

Particle simulation techniques utilizing classical or quantum weights commonly involve a phase space grid for the calculation of averages. Properties of alternative particle-grid simulation strategies are investigated by using an experiment highly sensitive to variance. It is provided by the fine structure of entangled electron states subject to scattering with phonons. As the process of evolution describes decoherence and transition from quantum to classical our analysis concerns both transport regimes. An algorithm based on randomization-annihilation of particles shows better performance than an Ensemble Monte Carlo method.