Measurement of a topological edge invariant in a microwave network

By Wenchao Hu, J. C. Pillay, Kan Wu, M. Pásek, P. Shum, Y. Chong. 2014

171 citations recorded by the source corpus.

We report on the measurement of topological invariants in an electromagnetic topological insulator analog formed by a microwave network, consisting of the winding numbers of scattering matrix eigenvalues. The experiment can be regarded as a variant of a topological pump, with non-zero winding implying the existence of topological edge states. In microwave networks, unlike most other systems exhibiting topological insulator physics, the winding can be directly observed. The effects of loss on the experimental results, and on the topological edge states, is discussed.

Subfields: Atomic and Molecular Physics, and Optics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/3091825ea0112ea9ab322f04e5b4ac7e0dc5e1d5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Nathan Goldman
2. A. Amo
3. T. Ozawa
4. M. Aidelsburger
5. H. Price
6. M. Rechtsman
7. I. Carusotto
8. David I. Schuster

In Electronic, Optical and Magnetic Materials

1. S. Longhi

Citations in the corpus

• Reciprocal skin effect and its realization in a topolectrical circuit (2019, unknown): “[31] W.”
• Synthetic dimensions in integrated photonics: From optical isolation to four-dimensional quantum Hall physics (2015, background): “5 shows that a good isolation is already obtained with just two sites in the x direction, a regime where the edge state has not yet fully developed [15].”
• Artificial gauge fields in materials and engineered systems (2017, unknown): “This topological regime of a network without additional tight-binding flux was explored recently in a MW network [191] via the implementation of a topological pump.”
• Topological photonics (2018, methodology): “, 2015), whereas non-Hermitian pumps with exceptional points were realized using microwave cavities (Hu et al., 2015).”
• Realization of an anomalous Floquet topological system with ultracold atoms (2020, background): “Anomalous edge modes have been observed in photonic [30–33] and phononic experiments [34].”
• Probing non-Hermitian skin effect and non-Bloch phase transitions (2019, methodology): “[43] W.”