Non-Markovian dynamics of quantum open systems embedded in a hybrid environment

Journal Article · Thu Jun 15 04:00:00 EDT 2017 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2017.04.001· OSTI ID:22701502

Zhao, Xinyu; Shi, Wufu ^[1]; You, J. Q. ^[2]; Yu, Ting ^[1]

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1. Department of Physics and Engineering Physics, Stevens Institute of Technology, Hoboken, NJ 07030 (United States)
2. Beijing Computational Science Research Center, Beijing 100094 (China)

Quantum systems of interest are typically coupled to several quantum channels (more generally environments). In this paper, we develop an exact stochastic Schrödinger equation for an open quantum system coupled to a hybrid environment containing both bosonic and fermionic particles. Such a stochastic differential equation may be obtained directly from a microscopic model through employing a classical complex Gaussian noise and a non-commutative fermionic noise to simulate the hybrid bath. As an immediate application of our developed stochastic approach, we show that the evolution of the reduced density matrix can be derived by taking the average over both the bosonic noise and the fermionic noise. Three specific examples are given in this paper to illustrate that the hybrid quantum trajectory is fully consistent with the standard quantum mechanics. Our examples also shed new light on the special features exhibited by the fermionic bath and bosonic bath. - Highlights: • Exact dynamic equation for quantum open system coupled to a hybrid bath is derived. • The equation is consistent with standard quantum mechanics. • The dynamic equation derived is useful in exploring non-Markovian features.

• OSTI ID: 22701502
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 381; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COUPLING
DENSITY MATRIX
FERMIONS
HYBRIDIZATION
MATHEMATICAL EVOLUTION
NOISE
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM SYSTEMS
SCHROEDINGER EQUATION
STOCHASTIC PROCESSES