CHAOS, holography, and other science
Name
958299648-MIT.pdf
Description
Full printable version
Size
16.71 MB
Format
Adobe PDF
Checksum (MD5)
c8d23365d1643941e2f7a77f3e8dddaa
Author(s)
Roberts, Daniel Adam
Advisor(s)
Allan Wilfred Adams III.
Date Issued
2016
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2016.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 167-[177]).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
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