Spacing gain and absorption in a simple PT-symmetric model: Spectral singularities and ladders of eigenvalues and resonances
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F19%3A50016102" target="_blank" >RIV/62690094:18470/19:50016102 - isvavai.cz</a>
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/1751-8121/ab40ec" target="_blank" >https://iopscience.iop.org/article/10.1088/1751-8121/ab40ec</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ab40ec" target="_blank" >10.1088/1751-8121/ab40ec</a>
Alternative languages
Result language
angličtina
Original language name
Spacing gain and absorption in a simple PT-symmetric model: Spectral singularities and ladders of eigenvalues and resonances
Original language description
We consider a parity-time (PT-) symmetric waveguide consisting of a localized gain and loss element separated by a variable distance. The situation is modeled by a Schrödinger operator with localized complex PT-symmetric potential. Properties of the latter Hamiltonian are considered subject to the change of the gain-to-loss distance. Resonances, spectral singularities and eigenvalues are analyzed in detail and discussed in the context of the associated laser-absorber modes and PT-symmetry breaking phase transition. Increasing gain-to-loss distance creates new resonances and spectral singularities that do not exist in the waveguide with adjacent gain and loss. In the limit of large gain-to-loss distance, the waveguide features a ladder of resonances which can be transformed to a ladder of complex eigenvalues by means of the change of the gain-and-loss amplitude. © 2019 IOP Publishing Ltd.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of physics A - mathematical and theoretical
ISSN
1751-8113
e-ISSN
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Volume of the periodical
52
Issue of the periodical within the volume
44
Country of publishing house
GB - UNITED KINGDOM
Number of pages
28
Pages from-to
"Article number 445202"
UT code for WoS article
000509113100002
EID of the result in the Scopus database
2-s2.0-85073823708