Non-Markovian Fermionic Stochastic Schrödinger Equation for Open System Dynamics

Abstract

In this paper we present an exact Grassmann stochastic Schrödinger equation for the dynamics of an open fermionic quantum system coupled to a reservoir consisting of a finite or infinite number of fermions. We use this stochastic approach to derive the exact master equation for a fermionic system strongly coupled to electronic reservoirs. The generality and applicability of this Grassmann stochastic approach is justified and exemplified by several quantum open system problems concerning quantum decoherence and quantum transport for both vacuum and finite-temperature fermionic reservoirs. We show that the quantum coherence property of the quantum dot system can be profoundly modified by the environment memory.

10.5 pages, 3 figures

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• Stochastic Equation of Motion Approach to Fermionic Dissipative Dynamics. II. Numerical Implementation
• Noise assisted quantum coherence protection in hierarchical environment
• Effects of counter-rotating-wave terms on the non-Markovianity in quantum open systems
• Memory-induced geometric phase in non-Markovian open systems
• Non-Markovian environment induced Schrödinger cat state transfer in an optical Newton's cradle
• Grassmann phase-space methods for fermions: uncovering classical probability structure
• Geometric decoherence in diffusive open quantum systems
• Mean-field dynamics of a Bose-Hubbard chain coupled to a non-Markovian environment
• Optimally controlled non-adiabatic quantum state transmission in the presence of quantum noise
• Control cost and quantum speed limit time in controlled almost exact state transmission in open systems
• Stochastic Schrödinger equation approach to real-time dynamics of Anderson-Holstein impurities: an open quantum system perspective
• Persistent fermionic entanglement under decoherence