Quantum state diffusion based simulation of quantum dynamics

The quantum stochastic differential equation derived from the Lindblad form quantum master equation was investigated.The general formulation in terms of environment operators representing the quantum state diffusion was given.The constructive decoherence Lindblads' compact on the evolution and the dynamics of the system including drift and dissipation was analyzed separately.The numerical simulation algorithm of stochastic process of direct photodetection of a driven two-level system on a high performance computer for the predictions of the dynamical behavior is provided and compared with the classical Runge-Kutta algorithm to verify its effectiveness,followed by further discussions on the convergence of the algorithm.