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Visualization of Branch Points inPT-Symmetric Waveguides
Open accessAbstract
The visualization of an exceptional point in a PT-symmetric directional coupler (DC) is demonstrated. In such a system the exceptional point can be probed by varying only a single parameter. Using the Rayleigh-Schrödinger perturbation theory we prove that the spectrum of a PT-symmetric Hamiltonian is real as long as the radius of convergence has not been reached. We also show how one can use a PT-symmetric directional coupler to measure the radius of convergence for non-PT-symmetric structures. For such systems the physical meaning of the rather mathematical term radius of convergence is exemplified.
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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
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Metadata
- Authors
- Klaiman, S., Günther, U., & Moiseyev, N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-08-21
- Volume
- 101
- Issue
- 8
- Pages
- 080402-080402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2117062221
- Cited by
- 945
- References
- 1
- FWCI
- 12.57
- Type
- journal article
- Language
- en
- Open access
- green
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