Qubit heating near a hotspot
Abstract Effective theories describing black hole exteriors contain many open-system features due to the large number of gapless degrees of freedom that lie beyond reach across the horizon. A simple solvable Caldeira-Leggett type model of a quantum field interacting within a small area with many unm...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2021)132 |
| _version_ | 1818881048471142400 |
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| author | G. Kaplanek C. P. Burgess R. Holman |
| author_facet | G. Kaplanek C. P. Burgess R. Holman |
| author_sort | G. Kaplanek |
| collection | DOAJ |
| description | Abstract Effective theories describing black hole exteriors contain many open-system features due to the large number of gapless degrees of freedom that lie beyond reach across the horizon. A simple solvable Caldeira-Leggett type model of a quantum field interacting within a small area with many unmeasured thermal degrees of freedom was recently proposed in ref. [23] to provide a toy model of this kind of dynamics against which more complete black hole calculations might be compared. We here compute the response of a simple Unruh-DeWitt detector (or qubit) interacting with a massless quantum field ϕ coupled to such a hotspot. Our treatment differs from traditional treatments of Unruh-DeWitt detectors by using Open-EFT tools to reliably calculate the qubit’s late-time behaviour. We use these tools to determine the efficiency with which the qubit thermalizes as a function of its proximity to the hotspot. We identify a Markovian regime in which thermalization does occur, though only for qubits closer to the hotspot than a characteristic distance scale set by the ϕ-hotspot coupling. We compute the thermalization time, and find that it varies inversely with the ϕ-qubit coupling strength in the standard way. |
| first_indexed | 2024-12-19T14:55:40Z |
| format | Article |
| id | doaj.art-69963f760ee040f59d13c735dfebb9f0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T14:55:40Z |
| publishDate | 2021-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-69963f760ee040f59d13c735dfebb9f02022-12-21T20:16:43ZengSpringerOpenJournal of High Energy Physics1029-84792021-08-012021813610.1007/JHEP08(2021)132Qubit heating near a hotspotG. Kaplanek0C. P. Burgess1R. Holman2Department of Physics & Astronomy, McMaster UniversityDepartment of Physics & Astronomy, McMaster UniversityMinerva Schools at KGIAbstract Effective theories describing black hole exteriors contain many open-system features due to the large number of gapless degrees of freedom that lie beyond reach across the horizon. A simple solvable Caldeira-Leggett type model of a quantum field interacting within a small area with many unmeasured thermal degrees of freedom was recently proposed in ref. [23] to provide a toy model of this kind of dynamics against which more complete black hole calculations might be compared. We here compute the response of a simple Unruh-DeWitt detector (or qubit) interacting with a massless quantum field ϕ coupled to such a hotspot. Our treatment differs from traditional treatments of Unruh-DeWitt detectors by using Open-EFT tools to reliably calculate the qubit’s late-time behaviour. We use these tools to determine the efficiency with which the qubit thermalizes as a function of its proximity to the hotspot. We identify a Markovian regime in which thermalization does occur, though only for qubits closer to the hotspot than a characteristic distance scale set by the ϕ-hotspot coupling. We compute the thermalization time, and find that it varies inversely with the ϕ-qubit coupling strength in the standard way.https://doi.org/10.1007/JHEP08(2021)132Black HolesEffective Field TheoriesRenormalization GroupRenormalization Regularization and Renormalons |
| spellingShingle | G. Kaplanek C. P. Burgess R. Holman Qubit heating near a hotspot Journal of High Energy Physics Black Holes Effective Field Theories Renormalization Group Renormalization Regularization and Renormalons |
| title | Qubit heating near a hotspot |
| title_full | Qubit heating near a hotspot |
| title_fullStr | Qubit heating near a hotspot |
| title_full_unstemmed | Qubit heating near a hotspot |
| title_short | Qubit heating near a hotspot |
| title_sort | qubit heating near a hotspot |
| topic | Black Holes Effective Field Theories Renormalization Group Renormalization Regularization and Renormalons |
| url | https://doi.org/10.1007/JHEP08(2021)132 |
| work_keys_str_mv | AT gkaplanek qubitheatingnearahotspot AT cpburgess qubitheatingnearahotspot AT rholman qubitheatingnearahotspot |