EMERGENT ANTI-DE SITTER SPACETIME FROM BOUNDARY QUANTUM PHASE TRANSITIONS IN 1+1D
Abstract/Contents
- Abstract
- In this thesis, we explore the implications of a recent algorithm by Scott Aaronson and Jason Pollack showing that it is possible to reconstruct a bulk AdS geometry given contiguous entropies from a CFT on the boundary. We consider this in light of the area law/volume law phase transition in monitored circuit models, and show that volume law entanglement corresponds to the formation of large-scale structure in the bulk, while area law entanglement fails to do so. We also investigate behavior near the quantum critical point, finding preliminary evidence that a dual phase transition in the bulk may coincide with the formation of a nontrivial bulk geometry.
Description
| Type of resource | text |
|---|---|
| Date created | [ca. April 2023] |
| Publication date | May 30, 2023; May 30, 2023 |
Creators/Contributors
| Author | Boulton-McKeehan, Alexander |
|---|---|
| Advisor | Bouland, Adam |
Subjects
| Subject | Quantum gravity |
|---|---|
| Subject | Phase transformations (Statistical physics) |
| Subject | AdS/CFT |
| Subject | Quantum entanglement |
| Subject | Space and time |
| Subject | Holography |
| Subject | Quantum mechanics |
| Subject | Random matrices |
| Subject | Duality |
| Subject | Measurement |
| Subject | Geometry |
| Genre | Text |
| Genre | Thesis |
Bibliographic information
Access conditions
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 4.0 International license (CC BY-NC).
Preferred citation
- Preferred citation
- Boulton-McKeehan, A. (2024). EMERGENT ANTI-DE SITTER SPACETIME FROM BOUNDARY QUANTUM PHASE TRANSITIONS IN 1+1D. Stanford Digital Repository. Available at https://purl.stanford.edu/pv242zm5059. https://doi.org/10.25740/pv242zm5059.
Collection
Undergraduate Theses, School of Engineering
View other items in this collection in SearchWorksContact information
- Contact
- alekxos@cs.stanford.edu
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