Locality in quantum many-body systems
Abstract/Contents
- Abstract
- How can we understand complex quantum many-body systems without finding exact solutions? Recent developments have shown that first principle constraints can provide satisfactory or even accurate estimates for quantum observables in interacting many-body systems. This dissertation summarizes a series of results centered on implications of locality in quantum dynamics and thermodynamics. We first discuss microscopic locality bounds on quantum transport, chaos and ground states in open and closed lattice models. Such locality bounds provide useful and rigorous information in strongly interacting systems. Then we consider the problem of emergent locality in holographic theories, with analytical and numerical examples in holographic tensor networks and matrix quantum mechanics. Emergent locality and causality are detected and analyzed, augmenting our microscopic understanding of holography.
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 | Han, Xizhi |
|---|---|
| Degree supervisor | Hartnoll, Sean |
| Thesis advisor | Hartnoll, Sean |
| Thesis advisor | Qi, Xiaoliang |
| Thesis advisor | Shenker, Stephen Hart, 1953- |
| Degree committee member | Qi, Xiaoliang |
| Degree committee member | Shenker, Stephen Hart, 1953- |
| Associated with | Stanford University, Department of Physics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Xizhi Han. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis Ph.D. Stanford University 2021. |
| Location | https://purl.stanford.edu/nb059gc4353 |
Access conditions
- Copyright
- © 2021 by Xizhi Han
- License
- This work is licensed under a Creative Commons Attribution 3.0 Unported license (CC BY).
Also listed in
Loading usage metrics...