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Detecting two-dimensional topological states using quantum walks Feder, David
Description
We show that the evolution of two-component particles under a continuous-time quantum walk can reveal topological phases. A kink in the mean width of the walker distribution signals the closing of the energy gap, a prerequisite for a quantum phase transition between topological phases. For realistic and experimentally motivated Hamiltonians, the distribution in topologically non-trivial phases displays characteristic rings in the vicinity of the origin that are absent in topologically trivial phases. The results are expected to have immediate application to systems of ultracold atoms and photonic lattices, and should aid in the realization of topological states suitable for quantum computation.
Item Metadata
Title |
Detecting two-dimensional topological states using quantum walks
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-04-23T15:02
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Description |
We show that the evolution of two-component particles under a continuous-time quantum walk can reveal topological phases. A kink in the mean width of the walker distribution signals the closing of the energy gap, a prerequisite for a quantum phase transition between topological phases. For realistic and experimentally motivated Hamiltonians, the distribution in topologically non-trivial phases displays characteristic rings in the vicinity of the origin that are absent in topologically trivial phases. The results are expected to have immediate application to systems of ultracold atoms and photonic lattices, and should aid in the realization of topological states suitable for quantum computation.
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Extent |
46.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Calgary
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Series | |
Date Available |
2019-10-21
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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 |
10.14288/1.0384615
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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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