Exploring solvable chaos in quantum mechanics
Abstract/Contents
- Abstract
- The understanding of strongly coupled many body quantum systems has been dramatically improved by the application of tools originally developed for seemingly unrelated purposes, for example quantum gravity and information theory. At the same time, to understand the possible types of information flow and properties of a quantum theory of gravity, it has become clear that one needs to understand aspects of the strongly coupled regime. In this thesis, we give three examples where the interplay of these ideas gives rise to a simple and quantitative understanding for different aspects of strongly coupled models. In Chapter 2, we make precise the idea (at high temperature) that thermalization is the loss of information about initial conditions, and in doing so explain the relationship between a quantum measure of chaos and thermalization. In Chapter 3, we explicitly compute the "size" (in terms of boundary operators) of operators deep in the bulk dual of a particular holographic (chaotic) model, and find an exact relationship between bulk symmetry generator matrix elements and size. In Chapter 4, we solve a model subject to arbitrary drive, and use it to study the formation of a wormhole, as well as more general features of the gravity dual.
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 | 2021; ©2021 |
| Publication date | 2021; 2021 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Lensky, Yuri Dmitry |
|---|---|
| Degree supervisor | Qi, Xiaoliang |
| Thesis advisor | Qi, Xiaoliang |
| Thesis advisor | Hayden, Patrick (Patrick M.) |
| Thesis advisor | Shenker, Stephen Hart, 1953- |
| Degree committee member | Hayden, Patrick (Patrick M.) |
| Degree committee member | Shenker, Stephen Hart, 1953- |
| Associated with | Stanford University, Department of Physics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Yuri Dmitry Lensky. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis Ph.D. Stanford University 2021. |
| Location | https://purl.stanford.edu/hq222wt5981 |
Access conditions
- Copyright
- © 2021 by Yuri Dmitry Lensky
- License
- This work is licensed under a Creative Commons Attribution Share Alike 3.0 Unported license (CC BY-SA).
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