The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
The physics of exceptional points
Open accessAbstract
A short résumé is given about the nature of exceptional points (EPs) followed by discussions about their ubiquitous occurrence in a great variety of physical problems. EPs feature in classical as well as in quantum mechanical problems. They are associated with symmetry breaking for -symmetric Hamiltonians, where a great number of experiments has been performed, in particular in optics, and to an increasing extent in atomic and molecular physics. EPs are involved in quantum phase transition and quantum chaos; they produce dramatic effects in multichannel scattering, specific time dependence and more. In nuclear physics, they are associated with instabilities and continuum problems. Being spectral singularities they also affect approximation schemes. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Quantum physics with non-Hermitian operators’.
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Cites
Making sense of non-Hermitian Hamiltonians
Bender, C. M. (2007) · Reports on Progress in Physics · doi:10.1088/0034-4885/70/6/r03 · Cited by 2,984
Non-Hermitian Quantum Mechanics
Moiseyev, N. (2011) · doi:10.1017/cbo9780511976186 · Cited by 1,490
Faster than Hermitian quantum mechanics
Bender, C. M., Brody, D. C., Jones, H. F., & Meister, B. K. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.040403 · Cited by 417
Optical Realization of Relativistic Non-Hermitian Quantum Mechanics
Longhi, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.013903 · Cited by 225
Cited by
Exceptional topology of non-Hermitian systems
Bergholtz, E. J., Budich, J. C., & Kunst, F. K. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.015005 · Cited by 1,711
Inverse design in nanophotonics
Molesky, S., Lin, Z., Piggott, A. Y., Jin, W., Vucković, J., & Rodriguez, A. W. (2018) · Nature Photonics · doi:10.1038/s41566-018-0246-9 · Cited by 1,818
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
Biorthogonal quantum mechanics
Brody, D. C. (2014) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/47/3/035305 · Cited by 573
Metadata
- Authors
- Heiss, W. D.
- Venue
- Journal of Physics A: Mathematical and Theoretical
- Publisher
- IOP Publishing
- Published
- 2012-10-23
- Volume
- 45
- Issue
- 44
- Pages
- 444016
- ISSN
- 1751-8113 (ISSN-L)
- 1751-8121
- OpenAlex
- W2166080990
- Cited by
- 1,438
- References
- 4
- FWCI
- 8.64
- Type
- journal article
- Language
- en
- Open access
- green
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