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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Gil Tabak. |
|---|---|
| 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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