2026-09-18T21:59:12Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1045312026-06-16T18:14:16Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Allan Wilfred Adams III.
Roberts, Daniel Adam
Massachusetts Institute of Technology. Department of Physics.
Massachusetts Institute of Technology. Department of Physics
2016-09-30T19:34:10Z
2016-09-30T19:34:10Z
2016
2016
http://hdl.handle.net/1721.1/104531
958299648
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.
167, 10 unnumbered pages
eng
Massachusetts Institute of Technology
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
Physics.
CHAOS, holography, and other science
Thesis
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Publication
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