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Observation of bulk boundary correspondence breakdown in topolectrical circuits
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The study of the laws of nature has traditionally been pursued in the limit of isolated systems, where energy is conserved. This is not always a valid approximation, however, as the inclusion of features like gain and loss, or periodic driving, qualitatively amends these laws. A contemporary frontier of meta-material research is the challenge open systems pose to the established characterization of topological matter. There, one of the most relied upon principles is the bulk-boundary correspondence (BBC), which intimately relates the properties of the surface states to the topological classification of the bulk. The presence of gain and loss, in combination with the violation of reciprocity, has recently been predicted to affect this principle dramatically. Here, we report the experimental observation of BBC violation in a non-reciprocal topolectric circuit. The circuit admittance spectrum exhibits an unprecedented sensitivity to the presence of a boundary, displaying an extensive admittance mode localization despite a translationally invariant bulk. Intriguingly, we measure a non-local voltage response due to broken BBC. Depending on the AC current feed frequency, the voltage signal accumulates at the left or right boundary, and increases as a function of nodal distance to the current feed.
Forward citations
Cited by 7 Pith papers
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Reciprocal skin effect and its realization in a topolectrical circuit
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For a nonreciprocal Kane-Lubensky chain, the zero-mode skin effect is predicted to coincide with a phase where the Petermann factor diverges exponentially with system size.
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Hidden Chern number in one-dimensional non-Hermitian chiral-symmetric systems
The topology of certain one-dimensional non-Hermitian chains is captured by a Chern number of an effective two-dimensional Hermitian Hamiltonian, and this hidden Chern number predicts zero-real-energy end states.
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Electric-circuit simulation of the Schr\"{o}dinger equation and non-Hermitian quantum walks
An LC circuit chain is mathematically equivalent to a one-dimensional Schrödinger equation, yielding exact Bessel-function solutions that describe quantum walks and their non-Hermitian variants.
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