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Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics

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arxiv 1907.12566 v1 pith:MDKJYCXM submitted 2019-07-29 cond-mat.mes-hall cond-mat.quant-gascond-mat.str-elphysics.opticsquant-ph

classification cond-mat.mes-hallcond-mat.quant-gascond-mat.str-elphysics.opticsquant-ph
keywords topologicalnon-hermitianbulk-boundarycorrespondenceedgestatessystemsdynamics
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Bulk-boundary correspondence, a central principle in topological matter relating bulk topological invariants to edge states, breaks down in a generic class of non-Hermitian systems that have so far eluded experimental effort. Here we theoretically predict and experimentally observe non-Hermitian bulk-boundary correspondence, a fundamental generalization of the conventional bulk-boundary correspondence, in discrete-time non-unitary quantum-walk dynamics of single photons. We experimentally demonstrate photon localizations near boundaries even in the absence of topological edge states, thus confirming the non-Hermitian skin effect. Facilitated by our experimental scheme of edge-state reconstruction, we directly measure topological edge states, which match excellently with non-Bloch topological invariants calculated from localized bulk-state wave functions. Our work unequivocally establishes the non-Hermitian bulk-boundary correspondence as a general principle underlying non-Hermitian topological systems, and paves the way for a complete understanding of topological matter in open systems.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Hermitian Quantum Adiabatic Algorithm

    quant-ph 2026-07 conditional novelty 7.0 of 10

    A history-decoupled Hamiltonian mapping makes non-Hermitian adiabatic quantum optimization pseudospectrally stable, achieving polynomial-time (per configuration) evolution on the CK maximum-independent-set benchmarks.

  2. Reciprocal skin effect and its realization in a topolectrical circuit

    cond-mat.mes-hall 2019-08 conditional novelty 7.0 of 10

    A reciprocal non-Hermitian 2D lattice shows skin-mode localization on opposite edges for opposite momenta, demonstrated experimentally in a passive RLC circuit.

  3. Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models

    quant-ph 2025-08 conditional novelty 6.0 of 10

    A single-photon quantum-walk experiment realizes the unitary almost-Mathieu operator and observes metal-insulator, parity-time symmetry-breaking, and all-imaginary-quasienergy spectral transitions.

  4. Non-Hermitian Floquet topological phases in the double-kicked rotor

    quant-ph 2019-08 conditional novelty 6.0 of 10

    The non-Hermitian double kicked rotor hosts Floquet topological phases labeled by two winding numbers, detectable by a generalized mean chiral displacement, with edge states counted by the bulk invariants.

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