Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence
Abstract The bulk-boundary correspondence provides a guiding principle for tackling strongly correlated and coupled systems. In the present work, we apply the concept of the bulk-boundary correspondence to thermodynamic bounds described by classical and quantum Markov processes. Using the continuous...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2023-05-01
|
| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-023-38074-8 |
| _version_ | 1797822810130743296 |
|---|---|
| author | Yoshihiko Hasegawa |
| author_facet | Yoshihiko Hasegawa |
| author_sort | Yoshihiko Hasegawa |
| collection | DOAJ |
| description | Abstract The bulk-boundary correspondence provides a guiding principle for tackling strongly correlated and coupled systems. In the present work, we apply the concept of the bulk-boundary correspondence to thermodynamic bounds described by classical and quantum Markov processes. Using the continuous matrix product state, we convert a Markov process to a quantum field, such that jump events in the Markov process are represented by the creation of particles in the quantum field. Introducing the time evolution of the continuous matrix product state, we apply the geometric bound to its time evolution. We find that the geometric bound reduces to the speed limit relation when we represent the bound in terms of the system quantity, whereas the same bound reduces to the thermodynamic uncertainty relation when expressed based on quantities of the quantum field. Our results show that the speed limits and thermodynamic uncertainty relations are two aspects of the same geometric bound. |
| first_indexed | 2024-03-13T10:13:37Z |
| format | Article |
| id | doaj.art-75165b878a204aea8babd63b5d5a8fce |
| institution | Directory Open Access Journal |
| issn | 2041-1723 |
| language | English |
| last_indexed | 2024-03-13T10:13:37Z |
| publishDate | 2023-05-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj.art-75165b878a204aea8babd63b5d5a8fce2023-05-21T11:19:59ZengNature PortfolioNature Communications2041-17232023-05-0114111010.1038/s41467-023-38074-8Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondenceYoshihiko Hasegawa0Department of Information and Communication Engineering, Graduate School of Information Science and Technology, The University of TokyoAbstract The bulk-boundary correspondence provides a guiding principle for tackling strongly correlated and coupled systems. In the present work, we apply the concept of the bulk-boundary correspondence to thermodynamic bounds described by classical and quantum Markov processes. Using the continuous matrix product state, we convert a Markov process to a quantum field, such that jump events in the Markov process are represented by the creation of particles in the quantum field. Introducing the time evolution of the continuous matrix product state, we apply the geometric bound to its time evolution. We find that the geometric bound reduces to the speed limit relation when we represent the bound in terms of the system quantity, whereas the same bound reduces to the thermodynamic uncertainty relation when expressed based on quantities of the quantum field. Our results show that the speed limits and thermodynamic uncertainty relations are two aspects of the same geometric bound.https://doi.org/10.1038/s41467-023-38074-8 |
| spellingShingle | Yoshihiko Hasegawa Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence Nature Communications |
| title | Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence |
| title_full | Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence |
| title_fullStr | Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence |
| title_full_unstemmed | Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence |
| title_short | Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence |
| title_sort | unifying speed limit thermodynamic uncertainty relation and heisenberg principle via bulk boundary correspondence |
| url | https://doi.org/10.1038/s41467-023-38074-8 |
| work_keys_str_mv | AT yoshihikohasegawa unifyingspeedlimitthermodynamicuncertaintyrelationandheisenbergprincipleviabulkboundarycorrespondence |