Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
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The non-Hermitian winding number of the reflection matrix links to the bulk Floquet invariant through boundary resonances, and the momentum-integrated Goos-Hänchen shift quantitatively measures the gap's topological invariant.
This is a review summarizing existing extensions of the SSH model to higher dimensions, larger unit cells, and additional terms, with case studies of their topological properties.
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Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology
Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
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Probing Floquet topological phases via non-Hermitian skin effect of reflected waves
The non-Hermitian winding number of the reflection matrix links to the bulk Floquet invariant through boundary resonances, and the momentum-integrated Goos-Hänchen shift quantitatively measures the gap's topological invariant.
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Exploring topological phases with extended Su-Schrieffer-Heeger models
This is a review summarizing existing extensions of the SSH model to higher dimensions, larger unit cells, and additional terms, with case studies of their topological properties.