The DOI matches its Crossref record; 39 of the 39 references it cites were found in a registry or an index.
Sensors operating at exceptional points: General theory
Abstract
A general theory of sensors based on the detection of splittings of resonant frequencies or energy levels operating at so-called exceptional points is presented. Exploiting the complex-square-root topology near such non-Hermitian degeneracies has a great potential for enhanced sensitivity. Passive and active systems are discussed. The theory is specified for whispering-gallery microcavity sensors for particle detection. As example, a microdisk with two holes is studied numerically. The theory and numerical simulations demonstrate a sevenfold enhancement of the sensitivity.
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Cites
Computational electrodynamics, the finite-difference time-domain method
Rycroft, M. J. (1996) · Journal of Atmospheric and Terrestrial Physics · doi:10.1016/0021-9169(96)80449-1 · Cited by 9,418
Perturbation theory for linear operators
Kato, T. (1966) · Springer eBooks · doi:10.1007/978-3-642-53393-8 · Cited by 2,611
Magnetometry with nitrogen-vacancy defects in diamond
Rondin, L., Tetienne, J.-P., Hingant, T., Roch, J.-F., Maletinsky, P., & Jacques, V (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/5/056503 · Cited by 1,336
On-chip single nanoparticle detection and sizing by mode splitting in an ultrahigh-Q microresonator
Zhu, J., Ozdemir, S. K., Xiao, Y.-F., Li, L., He, L., Chen, D.-R., & Yang, L. (2010) · Nature Photonics · doi:10.1038/nphoton.2009.237 · Cited by 1,198
Wiersig, J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.203901 · Cited by 1,049
Self-citationComplex Coordinates in the Theory of Atomic and Molecular Structure and Dynamics
Reinhardt, W. P. (1982) · Annual Review of Physical Chemistry · doi:10.1146/annurev.pc.33.100182.001255 · Cited by 912
Physics of Nonhermitian Degeneracies
Berry, M. V. (2004) · Czechoslovak Journal of Physics · doi:10.1023/b:cjop.0000044002.05657.04 · Cited by 872
A non-Hermitian Hamilton operator and the physics of open quantum systems
Rotter, I. (2009) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/42/15/153001 · Cited by 853
Experimental Observation of the Topological Structure of Exceptional Points
Dembowski, C., Gräf, H.-D., Harney, H. L., Heine, A., Heiss, W. D., Rehfeld, H., & Richter, A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.787 · Cited by 789
Chow, W. W., Gea-Banacloche, J., Pedrotti, L. M., Sanders, V. E., Schleich, W., & Scully, M. O. (1985) · Reviews of Modern Physics · doi:10.1103/revmodphys.57.61 · Cited by 714
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
Self-citationFundamental limits and non-reciprocal approaches in non-Hermitian quantum sensing
Lau, H.-K., & Clerk, A. A. (2018) · Nature Communications · doi:10.1038/s41467-018-06477-7 · Cited by 380
Nair, J. M. P., Mukhopadhyay, D., & Agarwal, G. S. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.180401 · Cited by 97
Quantum synchronization on the IBM Q system
Koppenhöfer, M., Bruder, C., & Roulet, A. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023026 · Cited by 81
Metadata
- Authors
- Wiersig, J.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2016-03-04
- Volume
- 93
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 2469-9926
- 2469-9934
- OpenAlex
- W2314350111
- Cited by
- 451
- References
- 39
- FWCI
- 14.76
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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