CHAOS, holography, and other science
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2016.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2016
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| Online Access: | http://hdl.handle.net/1721.1/104531 |
| _version_ | 1811096150233579520 |
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| author | Roberts, Daniel Adam |
| author2 | Allan Wilfred Adams III. |
| author_facet | Allan Wilfred Adams III. Roberts, Daniel Adam |
| author_sort | Roberts, Daniel Adam |
| collection | MIT |
| description | Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2016. |
| first_indexed | 2024-09-23T16:38:57Z |
| format | Thesis |
| id | mit-1721.1/104531 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T16:38:57Z |
| publishDate | 2016 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1045312019-04-11T03:51:40Z CHAOS, holography, and other science Roberts, Daniel Adam Allan Wilfred Adams III. Massachusetts Institute of Technology. Department of Physics. Massachusetts Institute of Technology. Department of Physics. Physics. Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2016. Cataloged from PDF version of thesis. Includes bibliographical references (pages 167-[177]). This thesis focuses on the relationship between black holes in holography, chaos in strongly-coupled quantum systems, and the computational complexity of holographic states. By directly considering the time evolution of local operators, I am led to a simple diagnostic of many-body chaos: a commutator of such operators separated in time and space. Using this diagnostic, I study the growth of operators-a manifestation of the butterfly effect-in a variety of quantum systems. By considering the butterfly effect in holography, I find evidence for a detailed correspondence between the tensor network (or quantum circuit) that builds the holographic state and the interior geometry (or Einstein-Rosen bridge) of the black hole. Ultimately, I try to understand these connections by considering entanglement across time: the entanglement between an output system following time evolution and a record or memory perfectly correlated with the initial system. by Daniel Adam Roberts. Ph. D. 2016-09-30T19:34:10Z 2016-09-30T19:34:10Z 2016 2016 Thesis http://hdl.handle.net/1721.1/104531 958299648 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 167, 10 unnumbered pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Physics. Roberts, Daniel Adam CHAOS, holography, and other science |
| title | CHAOS, holography, and other science |
| title_full | CHAOS, holography, and other science |
| title_fullStr | CHAOS, holography, and other science |
| title_full_unstemmed | CHAOS, holography, and other science |
| title_short | CHAOS, holography, and other science |
| title_sort | chaos holography and other science |
| topic | Physics. |
| url | http://hdl.handle.net/1721.1/104531 |
| work_keys_str_mv | AT robertsdanieladam chaosholographyandotherscience |