A random unitary circuit model for black hole evaporation
Abstract Inspired by the Hayden-Preskill protocol for black hole evaporation, we consider the dynamics of a quantum many-body qudit system coupled to an external environment, where the time evolution is driven by the continuous limit of certain 2-local random unitary circuits. We study both cases wh...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2020)063 |
| _version_ | 1818353176378605568 |
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| author | Lorenzo Piroli Christoph Sünderhauf Xiao-Liang Qi |
| author_facet | Lorenzo Piroli Christoph Sünderhauf Xiao-Liang Qi |
| author_sort | Lorenzo Piroli |
| collection | DOAJ |
| description | Abstract Inspired by the Hayden-Preskill protocol for black hole evaporation, we consider the dynamics of a quantum many-body qudit system coupled to an external environment, where the time evolution is driven by the continuous limit of certain 2-local random unitary circuits. We study both cases where the unitaries are chosen with and without a conserved U(1) charge and focus on two aspects of the dynamics. First, we study analytically and numerically the growth of the entanglement entropy of the system, showing that two different time scales appear: one is intrinsic to the internal dynamics (the scrambling time), while the other depends on the system-environment coupling. In the presence of a U(1) conserved charge, we show that the entanglement follows a Page-like behavior in time: it begins to decrease in the middle stage of the “evaporation”, and decreases monotonically afterwards. Second, we study the time needed to retrieve information initially injected in the system from measurements on the environment qudits. Based on explicit numerical computations, we characterize such time both when the retriever has control over the initial configuration or not, showing that different scales appear in the two cases. |
| first_indexed | 2024-12-13T19:05:22Z |
| format | Article |
| id | doaj.art-ea196c196e3043df9dcc9b6330884bbb |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T19:05:22Z |
| publishDate | 2020-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ea196c196e3043df9dcc9b6330884bbb2022-12-21T23:34:33ZengSpringerOpenJournal of High Energy Physics1029-84792020-04-012020413510.1007/JHEP04(2020)063A random unitary circuit model for black hole evaporationLorenzo Piroli0Christoph Sünderhauf1Xiao-Liang Qi2Max-Planck-Institut für QuantenoptikMax-Planck-Institut für QuantenoptikStanford Institute for Theoretical Physics, Stanford UniversityAbstract Inspired by the Hayden-Preskill protocol for black hole evaporation, we consider the dynamics of a quantum many-body qudit system coupled to an external environment, where the time evolution is driven by the continuous limit of certain 2-local random unitary circuits. We study both cases where the unitaries are chosen with and without a conserved U(1) charge and focus on two aspects of the dynamics. First, we study analytically and numerically the growth of the entanglement entropy of the system, showing that two different time scales appear: one is intrinsic to the internal dynamics (the scrambling time), while the other depends on the system-environment coupling. In the presence of a U(1) conserved charge, we show that the entanglement follows a Page-like behavior in time: it begins to decrease in the middle stage of the “evaporation”, and decreases monotonically afterwards. Second, we study the time needed to retrieve information initially injected in the system from measurements on the environment qudits. Based on explicit numerical computations, we characterize such time both when the retriever has control over the initial configuration or not, showing that different scales appear in the two cases.http://link.springer.com/article/10.1007/JHEP04(2020)063Quantum Dissipative SystemsRandom Systems |
| spellingShingle | Lorenzo Piroli Christoph Sünderhauf Xiao-Liang Qi A random unitary circuit model for black hole evaporation Journal of High Energy Physics Quantum Dissipative Systems Random Systems |
| title | A random unitary circuit model for black hole evaporation |
| title_full | A random unitary circuit model for black hole evaporation |
| title_fullStr | A random unitary circuit model for black hole evaporation |
| title_full_unstemmed | A random unitary circuit model for black hole evaporation |
| title_short | A random unitary circuit model for black hole evaporation |
| title_sort | random unitary circuit model for black hole evaporation |
| topic | Quantum Dissipative Systems Random Systems |
| url | http://link.springer.com/article/10.1007/JHEP04(2020)063 |
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