On non-Markovianity in Open Quantum Systems
Author(s)
Primary Supervisor
Hall, Michael
Wiseman, Howard
Year published
2017-08
Metadata
Show full item recordAbstract
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 ...
View more >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.
View less >
View more >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.
View less >
Thesis Type
Thesis (PhD Doctorate)
Degree Program
Doctor of Philosophy (PhD)
School
School of Natural Sciences
Copyright Statement
The author owns the copyright in this thesis, unless stated otherwise.
Subject
Quantum systems
Markovian approximation