Moving mirrors, OTOCs and scrambling
Abstract We explore the physics of scrambling in the moving mirror models, in which a two-dimensional CFT is subjected to a time-dependent boundary condition. It is well-known that by choosing an appropriate mirror profile, one can model quantum aspects of black holes in two dimensions, ranging from...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)146 |
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| author | Parthajit Biswas Bobby Ezhuthachan Arnab Kundu Baishali Roy |
| author_facet | Parthajit Biswas Bobby Ezhuthachan Arnab Kundu Baishali Roy |
| author_sort | Parthajit Biswas |
| collection | DOAJ |
| description | Abstract We explore the physics of scrambling in the moving mirror models, in which a two-dimensional CFT is subjected to a time-dependent boundary condition. It is well-known that by choosing an appropriate mirror profile, one can model quantum aspects of black holes in two dimensions, ranging from Hawking radiation in an eternal black hole (for an “escaping mirror”) to the recent realization of Page curve in evaporating black holes (for a “kink mirror”). We explore a class of OTOCs in the presence of such a boundary and explicitly demonstrate the following primary aspects: First, we show that the dynamical CFT data directly affect an OTOC and maximally chaotic scrambling occurs for the escaping mirror for a large-c CFT with identity block dominance. We further show that the exponential growth of OTOC associated with the physics of scrambling yields a power-law growth in the model for evaporating black holes which demonstrates unitary dynamics in terms of a Page curve. We also demonstrate that, by tuning a parameter, one can naturally interpolate between an exponential growth associated with scrambling and a power-law growth in unitary dynamics. Our work explicitly exhibits the role of higher-point functions in CFT dynamics as well as the distinction between scrambling and Page curve. We also discuss several future possibilities based on this class of models. |
| format | Article |
| id | doaj-art-8247fb31d5e2402b83db8c94f929a058 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8247fb31d5e2402b83db8c94f929a0582024-12-08T12:10:30ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241013010.1007/JHEP10(2024)146Moving mirrors, OTOCs and scramblingParthajit Biswas0Bobby Ezhuthachan1Arnab Kundu2Baishali Roy3Department of Physics, Ramakrishna Mission Vivekananda Educational and Research InstituteDepartment of Physics, Ramakrishna Mission Vivekananda Educational and Research InstituteSaha Institute of Nuclear PhysicsDepartment of Physics, Ramakrishna Mission Vivekananda Educational and Research InstituteAbstract We explore the physics of scrambling in the moving mirror models, in which a two-dimensional CFT is subjected to a time-dependent boundary condition. It is well-known that by choosing an appropriate mirror profile, one can model quantum aspects of black holes in two dimensions, ranging from Hawking radiation in an eternal black hole (for an “escaping mirror”) to the recent realization of Page curve in evaporating black holes (for a “kink mirror”). We explore a class of OTOCs in the presence of such a boundary and explicitly demonstrate the following primary aspects: First, we show that the dynamical CFT data directly affect an OTOC and maximally chaotic scrambling occurs for the escaping mirror for a large-c CFT with identity block dominance. We further show that the exponential growth of OTOC associated with the physics of scrambling yields a power-law growth in the model for evaporating black holes which demonstrates unitary dynamics in terms of a Page curve. We also demonstrate that, by tuning a parameter, one can naturally interpolate between an exponential growth associated with scrambling and a power-law growth in unitary dynamics. Our work explicitly exhibits the role of higher-point functions in CFT dynamics as well as the distinction between scrambling and Page curve. We also discuss several future possibilities based on this class of models.https://doi.org/10.1007/JHEP10(2024)146AdS-CFT CorrespondenceBlack HolesBoundary Quantum Field TheoryConformal Field Models in String Theory |
| spellingShingle | Parthajit Biswas Bobby Ezhuthachan Arnab Kundu Baishali Roy Moving mirrors, OTOCs and scrambling Journal of High Energy Physics AdS-CFT Correspondence Black Holes Boundary Quantum Field Theory Conformal Field Models in String Theory |
| title | Moving mirrors, OTOCs and scrambling |
| title_full | Moving mirrors, OTOCs and scrambling |
| title_fullStr | Moving mirrors, OTOCs and scrambling |
| title_full_unstemmed | Moving mirrors, OTOCs and scrambling |
| title_short | Moving mirrors, OTOCs and scrambling |
| title_sort | moving mirrors otocs and scrambling |
| topic | AdS-CFT Correspondence Black Holes Boundary Quantum Field Theory Conformal Field Models in String Theory |
| url | https://doi.org/10.1007/JHEP10(2024)146 |
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