Non-Markovian quantum state diffusion for an open quantum system in fermionic environments

TL;DR

This paper extends the non-Markovian quantum state diffusion approach to fermionic environments, introducing anticommutative noise functions and deriving relevant equations, with applications to quantum-dot systems.

Contribution

It develops a novel NMQSD framework for fermionic baths, incorporating Grassmann variables, and derives the associated equations for open quantum systems.

Findings

Derived NMQSD equations for fermionic environments

Formulated non-Markovian master equations for fermionic baths

Applied method to quantum-dot systems demonstrating its effectiveness

Abstract

Non-Markovian quantum state diffusion (NMQSD) provides a powerful approach to the dynamics of an open quantum system in bosonic environments. Here we develop an NMQSD method to study the open quantum system in fermionic environments. This problem involves anticommutative noise functions (i.e., Grassmann variables) that are intrinsically different from the noise functions of bosonic baths. We obtain the NMQSD equation for quantum states of the system and the non-Markovian master equation. Moreover, we apply this NMQSD method to single and double quantum-dot systems.