Chapter 25 Non-Markovian Dynamics of Qubit Systems: Quantum-State Diffusion Equations Versus Master Equations

Yusui Chen, Ting Yu

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this review we discuss recent progress in the theory of open quantum systems based on non-Markovian quantum state diffusion and master equations. In particular, we show that an exact master equation for an open quantum system consisting of a few qubits can be explicitly constructed by using the corresponding non-Markovian quantum state diffusion equation. The exact master equation arises naturally from the quantum decoherence dynamics of qubit systems collectively interacting with a colored noise. We illustrate our general theoretical formalism by the explicit construction of a three-qubit system coupled to a non-Markovian bosonic environment. This exact qubit master equation accurately characterizes the time evolution of the qubit system in various parameter domains, and paves the way for investigation of the memory effect of an open quantum system in a non-Markovian regime without any approximation.

Original languageEnglish
Title of host publicationNanoScience and Technology
Pages609-634
Number of pages26
DOIs
StatePublished - 2016

Publication series

NameNanoScience and Technology
ISSN (Print)1434-4904
ISSN (Electronic)2197-7127

Fingerprint

Dive into the research topics of 'Chapter 25 Non-Markovian Dynamics of Qubit Systems: Quantum-State Diffusion Equations Versus Master Equations'. Together they form a unique fingerprint.

Cite this