Dimensionality reduction of linear open quantum systems with delayed coherent feedback
Abstract/Contents
- Abstract
- Broadly, this work explores dimensionality reduction methods for open quantum systems. As networks of quantum systems become more complex, there is a greater need for tools to simulate them efficiently. I will focus on open linear quantum systems with coherent time-delayed feedback. This work will show how the transfer function formalism can be used to construct physically realizable reduced systems which approximate the correct input-output relation for this class of systems, providing an appropriate basis for simulations. Towards this goal, I will show how the transfer function can be decomposed into a (possibly infinite) cascade of canonical terms, each corresponding to a single degree of freedom, or a single mode of the system. We will do this first for passive systems, and then for active systems, requiring a more general representation. I will present a theorem that specifies conditions for the convergence of the cascade. Truncating this cascade results in the desired approximate model. I will discuss some examples where this approach can be useful, such as networks with degenerate parametric amplifiers that exhibit enhanced squeezing properties once time-delayed feedback is introduced.
Description
Type of resource | text |
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Form | electronic resource; remote; computer; online resource |
Extent | 1 online resource. |
Place | California |
Place | [Stanford, California] |
Publisher | [Stanford University] |
Copyright date | 2018; ©2018 |
Publication date | 2018; 2018 |
Issuance | monographic |
Language | English |
Creators/Contributors
Author | Tabak, Gil | |
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Degree supervisor | Mabuchi, Hideo | |
Thesis advisor | Mabuchi, Hideo | |
Thesis advisor | Hayden, Patrick (Patrick M.) | |
Thesis advisor | Weissman, Tsachy | |
Degree committee member | Hayden, Patrick (Patrick M.) | |
Degree committee member | Weissman, Tsachy | |
Associated with | Stanford University, Department of Applied Physics. |
Subjects
Genre | Theses |
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Genre | Text |
Bibliographic information
Statement of responsibility | Gil Tabak. |
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Note | Submitted to the Department of Applied Physics. |
Thesis | Thesis Ph.D. Stanford University 2018. |
Location | electronic resource |
Access conditions
- Copyright
- © 2018 by Gil Tabak
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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