Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.23334 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916479791792128 |
|---|---|
| author | Caputa, Pawel Chen, Bowen McDonald, Ross W. Simón, Joan Strittmatter, Benjamin |
| author_facet | Caputa, Pawel Chen, Bowen McDonald, Ross W. Simón, Joan Strittmatter, Benjamin |
| contents | We demonstrate a precise relation between the rate of complexity of quantum states excited by local operators in two-dimensional conformal field theories and the radial momentum of particles in 3-dimensional Anti-de Sitter spacetimes. Similar relations have been anticipated based on qualitative models for operator growth. Here, we make this correspondence sharp with two key ingredients: the precise definition of quantum complexity given by the spread complexity of states, and the match of its growth rate to the bulk momentum measured in the proper radial distance coordinate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23334 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spread Complexity Rate as Proper Momentum Caputa, Pawel Chen, Bowen McDonald, Ross W. Simón, Joan Strittmatter, Benjamin High Energy Physics - Theory Statistical Mechanics Quantum Physics We demonstrate a precise relation between the rate of complexity of quantum states excited by local operators in two-dimensional conformal field theories and the radial momentum of particles in 3-dimensional Anti-de Sitter spacetimes. Similar relations have been anticipated based on qualitative models for operator growth. Here, we make this correspondence sharp with two key ingredients: the precise definition of quantum complexity given by the spread complexity of states, and the match of its growth rate to the bulk momentum measured in the proper radial distance coordinate. |
| title | Spread Complexity Rate as Proper Momentum |
| topic | High Energy Physics - Theory Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2410.23334 |