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Modelling of Heterostructures for Low Dimensional Devices Read chapter Read first chapter

2016 | OriginalPaper | Chapter

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

Authors : Yusui Chen, Ting Yu

Published in: Low-Dimensional and Nanostructured Materials and Devices

Publisher: Springer International Publishing

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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.

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Appendix
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Metadata
Title
Non-Markovian Dynamics of Qubit Systems: Quantum-State Diffusion Equations Versus Master Equations
Authors
Yusui Chen
Ting Yu
Copyright Year
2016
Book
Low-Dimensional and Nanostructured Materials and Devices

Print ISBN: 978-3-319-25338-1

Electronic ISBN: 978-3-319-25340-4

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-25340-4_25

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