Fisher information of a black hole spacetime
Abstract Relativistic quantum metrology is the study of optimal measurement procedures within systems that have both quantum and relativistic components. Here we use Unruh-DeWitt detectors coupled to a massless scalar field as probes of thermal parameters in different spacetimes via a relativistic q...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)214 |
| _version_ | 1797675886563033088 |
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| author | Everett Patterson Robert B. Mann |
| author_facet | Everett Patterson Robert B. Mann |
| author_sort | Everett Patterson |
| collection | DOAJ |
| description | Abstract Relativistic quantum metrology is the study of optimal measurement procedures within systems that have both quantum and relativistic components. Here we use Unruh-DeWitt detectors coupled to a massless scalar field as probes of thermal parameters in different spacetimes via a relativistic quantum metrology analysis. We consider both (2 + 1)-dimensional anti-de Sitter and BTZ black hole spacetimes. We compute the Fisher information to identify characteristics of the black hole spacetime and to compare it to a uniformly accelerating detector in anti-de Sitter space. We find the dependence of the Fisher information on temperature, detector energy gap, black hole mass, interaction time, and the initial state of the detector. We identify strategies that maximize the Fisher information and therefore the precision of estimation. |
| first_indexed | 2024-03-11T22:21:07Z |
| format | Article |
| id | doaj.art-96d1155d2382488d80a73bce565298e0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:21:07Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-96d1155d2382488d80a73bce565298e02023-09-24T11:05:56ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023612410.1007/JHEP06(2023)214Fisher information of a black hole spacetimeEverett Patterson0Robert B. Mann1Department of Physics and Astronomy, University of WaterlooDepartment of Physics and Astronomy, University of WaterlooAbstract Relativistic quantum metrology is the study of optimal measurement procedures within systems that have both quantum and relativistic components. Here we use Unruh-DeWitt detectors coupled to a massless scalar field as probes of thermal parameters in different spacetimes via a relativistic quantum metrology analysis. We consider both (2 + 1)-dimensional anti-de Sitter and BTZ black hole spacetimes. We compute the Fisher information to identify characteristics of the black hole spacetime and to compare it to a uniformly accelerating detector in anti-de Sitter space. We find the dependence of the Fisher information on temperature, detector energy gap, black hole mass, interaction time, and the initial state of the detector. We identify strategies that maximize the Fisher information and therefore the precision of estimation.https://doi.org/10.1007/JHEP06(2023)214Black HolesField Theories in Lower DimensionsModels of Quantum Gravity |
| spellingShingle | Everett Patterson Robert B. Mann Fisher information of a black hole spacetime Journal of High Energy Physics Black Holes Field Theories in Lower Dimensions Models of Quantum Gravity |
| title | Fisher information of a black hole spacetime |
| title_full | Fisher information of a black hole spacetime |
| title_fullStr | Fisher information of a black hole spacetime |
| title_full_unstemmed | Fisher information of a black hole spacetime |
| title_short | Fisher information of a black hole spacetime |
| title_sort | fisher information of a black hole spacetime |
| topic | Black Holes Field Theories in Lower Dimensions Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP06(2023)214 |
| work_keys_str_mv | AT everettpatterson fisherinformationofablackholespacetime AT robertbmann fisherinformationofablackholespacetime |