Microscope for quantum dynamics with Planck cell resolution
We introduce the out-of-time-correlation (OTOC) with the Planck cell resolution. The dependence of this OTOC on the initial state makes it function like a microscope, allowing us to investigate the fine structure of quantum dynamics beyond the thermal state. We find an explicit relation of this OTOC...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-09-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033239 |
| _version_ | 1797210954207854592 |
|---|---|
| author | Zhenduo Wang (王朕铎) Jiajin Feng (冯嘉进) Biao Wu (吴飙) |
| author_facet | Zhenduo Wang (王朕铎) Jiajin Feng (冯嘉进) Biao Wu (吴飙) |
| author_sort | Zhenduo Wang (王朕铎) |
| collection | DOAJ |
| description | We introduce the out-of-time-correlation (OTOC) with the Planck cell resolution. The dependence of this OTOC on the initial state makes it function like a microscope, allowing us to investigate the fine structure of quantum dynamics beyond the thermal state. We find an explicit relation of this OTOC to the spreading of the wave function in the Hilbert space, unifying two branches of the study of quantum chaos: state evolution and operator dynamics. By analyzing it in the vicinity of the classical limit, we clarify the dependence of the OTOC's exponential growth on the classical Lyapunov exponent. |
| first_indexed | 2024-04-24T10:18:48Z |
| format | Article |
| id | doaj.art-c74683704e5345aa9785e6c1d122c512 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:18:48Z |
| publishDate | 2021-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-c74683704e5345aa9785e6c1d122c5122024-04-12T17:13:49ZengAmerican Physical SocietyPhysical Review Research2643-15642021-09-013303323910.1103/PhysRevResearch.3.033239Microscope for quantum dynamics with Planck cell resolutionZhenduo Wang (王朕铎)Jiajin Feng (冯嘉进)Biao Wu (吴飙)We introduce the out-of-time-correlation (OTOC) with the Planck cell resolution. The dependence of this OTOC on the initial state makes it function like a microscope, allowing us to investigate the fine structure of quantum dynamics beyond the thermal state. We find an explicit relation of this OTOC to the spreading of the wave function in the Hilbert space, unifying two branches of the study of quantum chaos: state evolution and operator dynamics. By analyzing it in the vicinity of the classical limit, we clarify the dependence of the OTOC's exponential growth on the classical Lyapunov exponent.http://doi.org/10.1103/PhysRevResearch.3.033239 |
| spellingShingle | Zhenduo Wang (王朕铎) Jiajin Feng (冯嘉进) Biao Wu (吴飙) Microscope for quantum dynamics with Planck cell resolution Physical Review Research |
| title | Microscope for quantum dynamics with Planck cell resolution |
| title_full | Microscope for quantum dynamics with Planck cell resolution |
| title_fullStr | Microscope for quantum dynamics with Planck cell resolution |
| title_full_unstemmed | Microscope for quantum dynamics with Planck cell resolution |
| title_short | Microscope for quantum dynamics with Planck cell resolution |
| title_sort | microscope for quantum dynamics with planck cell resolution |
| url | http://doi.org/10.1103/PhysRevResearch.3.033239 |
| work_keys_str_mv | AT zhenduowangwángzhènduó microscopeforquantumdynamicswithplanckcellresolution AT jiajinfengféngjiājìn microscopeforquantumdynamicswithplanckcellresolution AT biaowuwúbiāo microscopeforquantumdynamicswithplanckcellresolution |