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 one-dimensional interacting Bose gas
TL;DR: In this article , the authors extend the NHSE to interacting many-body systems by investigating an exactly solvable non-Hermitian model, i.e., the prototypical Lieb-Liniger Bose gas with imaginary vector potential.
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Non-Hermitian invisibility in tight-binding lattices
TL;DR: In this article , a wide class of time-dependent non-Hermitian scattering potentials or defects with arbitrary spatial shape can be synthesized in an Hermitian single-band tight-binding lattice.
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Non-Hermitian topological phases and dynamical quantum phase transitions: a generic connection
Longwen Zhou,Qianqian Du +1 more
TL;DR: The dynamical and topological properties of non-Hermitian systems with chiral symmetry have attracted great attention in recent years as mentioned in this paper, and a connection between topological phases and dynamical quantum phase transitions (DQPTs) is established.
Posted Content
Observation of non-Hermitian many-body skin effects in Hilbert space
Weixuan Zhang,Fengxiao Di,Hao Yuan,Haiteng Wang,Xingen Zheng,Lu He,Houjun Sun,Xiangdong Zhang +7 more
TL;DR: In this paper, the authors report the first experimental simulation of strongly correlated non-Hermitian many-body system, and reveal a new type of nonHermitians manybody skin states toward effective boundaries in Hilbert space.
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Electric polarization and its quantization in one-dimensional non-Hermitian chains
TL;DR: In this paper , the authors generalize the theory of electric polarization to the case of one-dimensional non-Hermitian systems with line-gapped spectrum, and propose two specific models to provide numerical evidence supporting their findings.
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