• Corpus ID: 247187666

Observation of fractional quantum numbers at photonic topological edges and corners

@inproceedings{Leung2022ObservationOF,
  title={Observation of fractional quantum numbers at photonic topological edges and corners},
  author={Shuwai Leung and Yang Liu and Feifei Li and Cheng-Peng Liang and Yin Poo and Jian‐Hua Jiang},
  year={2022}
}
Topological phases of matter are featured with exotic edge states. However, the fractional quantum numbers at edges, though predicted long ago by Jackiw and Rebbi, remain elusive in topological photonic systems. Here, we report on the observation of fractional quantum numbers at the topological edges and corners in oneand two-dimensional photonic crystals. The fractional quantum numbers are determined via the measurements of the photonic local density-of-states. In one-dimensional photonic… 

Figures from this paper

Energy density as a probe of band representations in photonic crystals

Topological quantum chemistry (TQC) has recently emerged as an instrumental tool to characterize the topological nature of both fermionic and bosonic band structures. TQC is based on the study of

References

SHOWING 1-10 OF 42 REFERENCES

Higher-order band topology

A conventional topological insulator (TI) has gapped bulk states but gapless edge states. The emergence of the gapless edge states is dictated by the bulk topological invariant of the insulator and

Topologically Protected Valley-Dependent Quantum Photonic Circuits.

TLDR
This work design and fabricate nanophotonic topological harpoon-shaped beam splitters (HSBSs) based on 120-deg-bending interfaces and demonstrate the first on-chip valley-dependent quantum information process, which provides a novel method for on- chip quantum information processing.

All-dielectric photonic crystal with unconventional higher-order topology

Photonic crystals have been demonstrated as a versatile platform for the study of topological phenomena. The recent discovery of higher order topological insulators introduces new aspects of

Bulk-disclination correspondence in topological crystalline insulators.

TLDR
It is shown that both the fractional charge and the localized states emerge at the disclination in the TCI phase but vanish in the trivial phase, revealing a fundamental phenomenon and a paradigm for exploring topological materials.

Trapped fractional charges at bulk defects in topological insulators.

TLDR
It is experimentally demonstrated that disclination defects can robustly trap fractional charges in TCI metamaterials, and shown that this trapped charge can indicate non-trivial, higher-order crystalline topology even in the absence of any spectral signatures.

On the topological immunity of corner states in two-dimensional crystalline insulators

A higher-order topological insulator (HOTI) in two dimensions is an insulator without metallic edge states but with robust zero-dimensional topological boundary modes localized at its corners. Yet,

A fractional corner anomaly reveals higher-order topology

TLDR
A topological indicator is introduced that allows for the unambiguous identification of higher-order topology, even without in-gap states, and the associated higher- order bulk-boundary correspondence is demonstrated.

A high-performance topological bulk laser based on band-inversion-induced reflection

TLDR
A topological bulk laser that reaches the practical requirements in terms of cavity size, threshold, linewidth, side-mode suppression ratio and directionality for most practical applications according to Institute of Electrical and Electronics Engineers and other industry standards is proposed and experimentally demonstrated.

Twisted Quadrupole Topological Photonic Crystals

Topological manipulation of waves is at the heart of cutting‐edge metamaterial research. Quadrupole topological insulators were recently discovered in 2D flux‐threading lattices that exhibit

Higher-order topological states in photonic kagome crystals with long-range interactions

Photonic topological insulators enable topological boundary modes that are resilient to defects and disorder, irrespective of manufacturing precision. This property is known as topological