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Anomalous Edge States and the Bulk-Edge Correspondence for Periodically Driven Two-Dimensional Systems
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In that situation, the micromotion becomes crucial and the topological classification based on H_eff only must be revised.
“Indeed, in that situation, the micromotion becomes crucial and the topological classification based on Ĥeff only must be revised (Kitagawa, Berg et al., 2010;Rudner et al., 2013;Carpentier et al., 2015;Nathan and Rudner, 2015).”
From Topological photonics (2019) · cites this paper as Rudner et al., 2013
Away from the high-frequency regime, topologically protected edge modes are shown to exist even when the topological invariants (e.g., Chern numbers) associated with H_eff are all trivial.
“In particular, away from the high-frequency regime, topologically protected edge modes are shown to exist even when the topological invariants (e.g., Chern numbers) associated with Ĥeff are all trivial (Kitagawa, Berg et al., 2010;Rudner et al., 2013).”
From Topological photonics (2019) · cites this paper as Rudner et al., 2013
Both experiments reached the anomalous regime of the topological phase diagram, where chiral edge modes are uniquely determined by the nontrivial winding number.
“However, both experiments reached the aforementioned”
From Topological photonics (2019) · cites this paper as Rudner et al., 2013
Rudner et al. (2013) introduced a toy model in which, in a certain parameter regime, the system simultaneously exhibits a single completely flat Bloch band with trivial Chern number and a topologically protected chiral edge mode.
“An instructive toy model leading to a dramatic instance of an anomalous Floquet topological phase was introduced by Rudner et al. (2013).”
From Topological photonics (2019) · cites this paper as Rudner et al. (2013)
The anomalous Floquet topological phase cannot be accurately characterized by the Chern number related to the effective Hamiltonian, but rather by a distinct topological invariant, a winding number that fully takes the micromotion into account.
“All together, this indicates that the anomalous Floquet topological phase cannot be accurately characterized by the Chern number related to the effective Hamiltonian, but rather by a distinct topological invariant: a”
From Topological photonics (2019) · cites this paper as Rudner et al., 2013
The topological analysis of the Rudner model associates a nontrivial winding number to the Floquet Bloch band.
“This simple picture is confirmed by the topological analysis of the model, which associates a nontrivial winding number to the Floquet Bloch band (Rudner et al., 2013).”
From Topological photonics (2019) · cites this paper as Rudner et al., 2013
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Cites
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“[34] Mark S Rudner, Netanel H Lindner, Erez Berg, and Michael Levin.”
BackgroundProbing topological protection using a designer surface plasmon structure.
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Nonlinearity-induced photonic topological insulator
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Chiral Floquet Phases of Many-Body Localized Bosons
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A review of Quantum Cellular Automata
Farrelly, T. (2020) · Quantum · doi:10.22331/q-2020-11-30-368 · Cited by 138
Edge-state-enhanced transport in a two-dimensional quantum walk
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Topological Spin Texture of Chiral Edge States in Photonic Two-Dimensional Quantum Walks
Chen, C., Ding, X., Qin, J., Wu, J., He, Y., Lu, C.-Y., Li, L., Liu, X.-J., Sanders, B. C., & Pan, J.-W. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.046401 · Cited by 16
Metadata
- Authors
- Rudner, M. S., Lindner, N. H., Berg, E., & Levin, M.
- Venue
- Physical Review X
- Publisher
- American Physical Society (APS)
- Published
- 2013-07-23
- Volume
- 3
- Issue
- 3
- ISSN
- 2160-3308
- Cited by
- 911
- References
- 8
- Language
- en
- Funders
- National Science Foundation
- Defense Advanced Research Projects Agency
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