Non-Markovian Fermionic Quantum State Diffusion Approach

In this chapter the non-Markovian fermionic quantum state difusion approach is discussed. Within the open system plus environment frame work, the non-Markovian fermionc quantum diffusion theory is established based on non-commutative Grassmann Gaussian processes. We showthat this ferminionic quantum stochastic approach is useful in handling quantum processes involving multi-time scales such as decoherence, dissipation and non-equilibrium quantum transport. Particularly, our fermionic quantum state diffusive theory can provide more detailed information about the system's Markov-non-Markvoian crossover features.