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The K-theoretic Bulk-Boundary Principle for Patterned Resonators Prodan, Emil
Description
Resonators couple to each other when put in contact, leading to collective resonant modes. An interesting problem is to understand and exploit these collective modes when the resonators form different patterns in space. In this talk I will first present a kaleidoscope of numerical examples where patterned resonators display spectral properties akin to 2- and higher-dimensional Integer Quantum Hall Effect. In the second part, I will demonstrate how K-theory can be used to understand and predict the bulk and the edge spectrum of such systems. In particular, a simple K-theoretic version of the bulk-boundary principle will be presented which enables one to see when topological edge spectrum is to be expected. This last part will be supported again with a kaleidoscope of numerical examples.
Item Metadata
Title |
The K-theoretic Bulk-Boundary Principle for Patterned Resonators
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-09-13T09:37
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Description |
Resonators couple to each other when put in contact,
leading to collective resonant modes. An interesting problem
is to understand and exploit these collective modes when the
resonators form different patterns in space. In this talk I
will first present a kaleidoscope of numerical examples where
patterned resonators display spectral properties akin to 2-
and higher-dimensional Integer Quantum Hall Effect. In the second
part, I will demonstrate how K-theory can be used to understand
and predict the bulk and the edge spectrum of such systems. In
particular, a simple K-theoretic version of the bulk-boundary
principle will be presented which enables one to see when
topological edge spectrum is to be expected. This last part
will be supported again with a kaleidoscope of numerical
examples.
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Extent |
39 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Yeshiva University
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Series | |
Date Available |
2018-04-07
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0365236
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International