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  • On non-Markovianity in Open Quantum Systems

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    Li Li_Final Thesis_redacted.pdf (3.020Mb)
    Author(s)
    Li, Kenny
    Primary Supervisor
    Hall, Michael
    Wiseman, Howard
    Year published
    2017-08
    Metadata
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    Abstract
    Markovian approximation is a widely-employed idea in the descriptions of the dynamics of open quantum systems. Although it is usually claimed to be a concept inspired by classical Markovianity, the physical meaning of this concept, however, is vague. In this thesis, I compare the descriptions of classical stochastic processes and open quantum systems, and show that those inherent differences lead to the non-trivial problem of characterizing quantum non-Markovianity. With various examples, I argue that the current most often used definitions of quantumMarkovianity in the literature do not fully capture the memoryless property ...
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    Markovian approximation is a widely-employed idea in the descriptions of the dynamics of open quantum systems. Although it is usually claimed to be a concept inspired by classical Markovianity, the physical meaning of this concept, however, is vague. In this thesis, I compare the descriptions of classical stochastic processes and open quantum systems, and show that those inherent differences lead to the non-trivial problem of characterizing quantum non-Markovianity. With various examples, I argue that the current most often used definitions of quantumMarkovianity in the literature do not fully capture the memoryless property of OQSs. To address this issue, I take a different approach by studying a host of Markov-related concepts in the quantum regime. Some of these concepts have long been used in quantum theory, while others are first proposed in this thesis. I define all these concepts under a unified framework, which allows one to rigorously build hierarchy relations among them. In this sense, quantum non-Markovianity is highly context-dependent. The results in this thesis, summarized as a hierarchy figure, are expected to bring clarity to the nature of quantumnon-Markovianity.
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    Thesis Type
    Thesis (PhD Doctorate)
    Degree Program
    Doctor of Philosophy (PhD)
    School
    School of Natural Sciences
    DOI
    https://doi.org/10.25904/1912/2150
    Copyright Statement
    The author owns the copyright in this thesis, unless stated otherwise.
    Subject
    Quantum systems
    Markovian approximation
    Publication URI
    http://hdl.handle.net/10072/370927
    Collection
    • Theses - Higher Degree by Research

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