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

Xinyu Zhao, Wufu Shi, J. Q. You, Ting Yu

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)121-136
Number of pages16
JournalAnnals of Physics
Volume381
DOIs
StatePublished - 1 Jun 2017

Keywords

  • Non-Markovian
  • Open quantum system
  • Stochastic

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