TY - CHAP
T1 - Chapter 25 Non-Markovian Dynamics of Qubit Systems
T2 - Quantum-State Diffusion Equations Versus Master Equations
AU - Chen, Yusui
AU - Yu, Ting
N1 - Publisher Copyright:
© 2016, Springer Science and Business Media Deutschland GmbH. All rights reserved.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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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U2 - 10.1007/978-3-319-25340-4_25
DO - 10.1007/978-3-319-25340-4_25
M3 - Chapter
AN - SCOPUS:85144288725
T3 - NanoScience and Technology
SP - 609
EP - 634
BT - NanoScience and Technology
ER -