Size winding mechanism beyond maximal chaos
Abstract The concept of information scrambling elucidates the dispersion of local information in quantum many-body systems, offering insights into various physical phenomena such as wormhole teleportation. This phenomenon has spurred extensive theoretical and experimental investigations. Among these...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-11-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2024)044 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846137496875827200 |
|---|---|
| author | Tian-Gang Zhou Yingfei Gu Pengfei Zhang |
| author_facet | Tian-Gang Zhou Yingfei Gu Pengfei Zhang |
| author_sort | Tian-Gang Zhou |
| collection | DOAJ |
| description | Abstract The concept of information scrambling elucidates the dispersion of local information in quantum many-body systems, offering insights into various physical phenomena such as wormhole teleportation. This phenomenon has spurred extensive theoretical and experimental investigations. Among these, the size-winding mechanism emerges as a valuable diagnostic tool for optimizing signal detection. In this work, we establish a computational framework for determining the winding size distribution in all-to-all interacting quantum systems, utilizing the scramblon effective theory. We obtain the winding size distribution for the large-q SYK model across the entire time domain, where potential late-time corrections can be crucial for finite-N systems. Notably, we unveil that the manifestation of size winding results from a universal phase factor in the scramblon propagator, highlighting the significance of the Lyapunov exponent. These findings contribute to a sharp and precise connection between operator dynamics and the phenomenon of wormhole teleportation. |
| format | Article |
| id | doaj-art-50185d9acf0e4e38a4bafdc9a396e20b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-50185d9acf0e4e38a4bafdc9a396e20b2024-12-08T12:08:00ZengSpringerOpenJournal of High Energy Physics1029-84792024-11-0120241111610.1007/JHEP11(2024)044Size winding mechanism beyond maximal chaosTian-Gang Zhou0Yingfei Gu1Pengfei Zhang2Institute for Advanced Study, Tsinghua UniversityInstitute for Advanced Study, Tsinghua UniversityDepartment of Physics, Fudan UniversityAbstract The concept of information scrambling elucidates the dispersion of local information in quantum many-body systems, offering insights into various physical phenomena such as wormhole teleportation. This phenomenon has spurred extensive theoretical and experimental investigations. Among these, the size-winding mechanism emerges as a valuable diagnostic tool for optimizing signal detection. In this work, we establish a computational framework for determining the winding size distribution in all-to-all interacting quantum systems, utilizing the scramblon effective theory. We obtain the winding size distribution for the large-q SYK model across the entire time domain, where potential late-time corrections can be crucial for finite-N systems. Notably, we unveil that the manifestation of size winding results from a universal phase factor in the scramblon propagator, highlighting the significance of the Lyapunov exponent. These findings contribute to a sharp and precise connection between operator dynamics and the phenomenon of wormhole teleportation.https://doi.org/10.1007/JHEP11(2024)044Field Theories in Lower Dimensions1/N ExpansionAdS-CFT Correspondence |
| spellingShingle | Tian-Gang Zhou Yingfei Gu Pengfei Zhang Size winding mechanism beyond maximal chaos Journal of High Energy Physics Field Theories in Lower Dimensions 1/N Expansion AdS-CFT Correspondence |
| title | Size winding mechanism beyond maximal chaos |
| title_full | Size winding mechanism beyond maximal chaos |
| title_fullStr | Size winding mechanism beyond maximal chaos |
| title_full_unstemmed | Size winding mechanism beyond maximal chaos |
| title_short | Size winding mechanism beyond maximal chaos |
| title_sort | size winding mechanism beyond maximal chaos |
| topic | Field Theories in Lower Dimensions 1/N Expansion AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP11(2024)044 |
| work_keys_str_mv | AT tiangangzhou sizewindingmechanismbeyondmaximalchaos AT yingfeigu sizewindingmechanismbeyondmaximalchaos AT pengfeizhang sizewindingmechanismbeyondmaximalchaos |