Non-Hermitian bulk-boundary correspondence in quantum dynamics
TLDR
In this paper, the non-Hermitian bulk-boundary correspondence was shown to hold for a wide range of open topological systems with effective non-Bloch Hamiltonians.Abstract:
Bulk–boundary correspondence, a guiding principle in topological matter, relates robust edge states to bulk topological invariants. Its validity, however, has so far been established only in closed systems. Recent theoretical studies indicate that this principle requires fundamental revisions for a wide range of open systems with effective non-Hermitian Hamiltonians. Therein, the intriguing localization of nominal bulk states at boundaries, known as the non-Hermitian skin effect, suggests a non-Bloch band theory in which non-Bloch topological invariants are defined in generalized Brillouin zones, leading to a general bulk–boundary correspondence beyond the conventional framework. Here, we experimentally observe this fundamental non-Hermitian bulk–boundary correspondence in discrete-time non-unitary quantum-walk dynamics of single photons. We demonstrate pronounced 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 are in excellent agreement with the non-Bloch topological invariants. 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. Measurements of non-Hermitian photon dynamics show boundary-localized bulk eigenstates given by the non-Hermitian skin effect. A fundamental revision of the bulk–boundary correspondence in open systems is required to understand the underlying physics.read more
Citations
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Non-Hermitian skin effect in a single trapped ion
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Dynamical signatures of point-gap Weyl semimetal
TL;DR: In this paper , the authors consider a model where a pair of Weyl points reside on the imaginary axis of the complex energy plane, opening a point gap characterized by a topological invariant, the three-winding number.
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Mode-locking in anti-PT symmetric frequency lattices
TL;DR: In this article , an anti-parity-time (anti-PT) symmetric Su-Schrieffer-Heeger frequency lattice was constructed by two ring resonators with antisymmetric amplitude (AM) modulations.
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A symmetry-protected exceptional ring in a photonic crystal with negative index media
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Magnetic flux response of non-Hermitian topological phases
TL;DR: In this article , the authors derived the response of non-Hermitian topological phases with intrinsic point gap topology to localized magnetic flux insertions, and identified the necessary and sufficient conditions for a flux skin effect that localizes an extensive number of in-gap modes at a flux core.
References
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