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Experimental Observation of the Topological Structure of Exceptional Points
Open accessAbstract
We report on a microwave cavity experiment where exceptional points (EPs), which are square root singularities of the eigenvalues as function of a complex interaction parameter, are encircled in the laboratory. The real and imaginary parts of an eigenvalue are given by the frequency and width of a resonance and the eigenvectors by the field distributions. Repulsion of eigenvalues--always associated with EPs--implies frequency anticrossing (crossing) whenever width crossing (anticrossing) is present. The eigenvalues and eigenvectors are interchanged while encircling an EP, but one of the eigenvectors undergoes a sign change which can be discerned in the field patterns.
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Citations
Cited by
Exceptional points enhance sensing in an optical microcavity
Chen, W., Kaya Özdemir, Ş., Zhao, G., Wiersig, J., & Yang, L. (2017) · Nature · doi:10.1038/nature23281 · Cited by 2,084
Parity–time symmetry and exceptional points in photonics
Özdemir, Ş. K., Rotter, S., Nori, F., & Yang, L. (2019) · Nature Materials · doi:10.1038/s41563-019-0304-9 · Cited by 1,773
Wiersig, J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.203901 · Cited by 1,049
Spawning rings of exceptional points out of Dirac cones
Zhen, B., Hsu, C. W., Igarashi, Y., Lu, L., Kaminer, I., Pick, A., Chua, S.-L., Joannopoulos, J. D., & Soljačić, M. (2015) · Nature · doi:10.1038/nature14889 · Cited by 861
Observation of bulk Fermi arc and polarization half charge from paired exceptional points
Zhou, H., Peng, C., Yoon, Y., Hsu, C. W., Nelson, K. A., Fu, L., Joannopoulos, J. D., Soljačić, M., & Zhen, B. (2018) · Science · doi:10.1126/science.aap9859 · Cited by 650
Metadata
- Authors
- Dembowski, C., Gräf, H.-D., Harney, H. L., Heine, A., Heiss, W. D., Rehfeld, H., & Richter, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-01-29
- Volume
- 86
- Issue
- 5
- Pages
- 787-790
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1987108226
- Cited by
- 789
- References
- 0
- FWCI
- 7.07
- Type
- journal article
- Language
- en
- Open access
- green
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- Dembowski, C., Gräf, H.-D., Harney, H. L., Heine, A., Heiss, W. D., Rehfeld, H., & Richter, A. (2001). Experimental Observation of the Topological Structure of Exceptional Points. Physical Review Letters. https://doi.org/10.1103/physrevlett.86.787
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