PT-symmetric invisible defects and confluent Darboux-Crum transformations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F15%3A00448885" target="_blank" >RIV/61389005:_____/15:00448885 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1103/PhysRevA.92.023839" target="_blank" >http://dx.doi.org/10.1103/PhysRevA.92.023839</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevA.92.023839" target="_blank" >10.1103/PhysRevA.92.023839</a>

Result language

angličtina

Original language name

PT-symmetric invisible defects and confluent Darboux-Crum transformations

Original language description

We show that confluent Darboux-Crum transformations with emergent Jordan states are an effective tool for the design of optical systems governed by the Helmholtz equation under the paraxial approximation. The construction of generic, asymptotically realand periodic, PT-symmetric systems with local complex periodicity defects is discussed in detail. We show how the decay rate of the defect is related with the energy of the bound state trapped by the defect. In particular, the bound states in the continuum are confined by the periodicity defects with power law decay. We show that these defects possess complete invisibility; the wave functions of the system coincide asymptotically with the wave functions of the undistorted setting. The general results are illustrated with explicit examples of reflectionless models and systems with one spectral gap. We show that the spectral properties of the studied models are reflected by Lax-Novikov-type integrals of motion and associated supersymmetri

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

<a href="/en/project/GJ15-07674Y" target="_blank" >GJ15-07674Y: Analysis of quantum systems described by low-dimensional Dirac equation</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Physical Review. A

ISSN

1050-2947

e-ISSN

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Volume of the periodical

92

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

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UT code for WoS article

000359857500010

EID of the result in the Scopus database

2-s2.0-84940753949