PT-symmetric invisible defects and confluent Darboux-Crum transformations

Kód výsledku v IS VaVaI

RIV/61389005:_____/15:00448885 - isvavai.cz

Výsledek na webu

http://dx.doi.org/10.1103/PhysRevA.92.023839

DOI - Digital Object Identifier

10.1103/PhysRevA.92.023839

Jazyk výsledku

angličtina

Název v původním jazyce

PT-symmetric invisible defects and confluent Darboux-Crum transformations

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

PT-symmetric invisible defects and confluent Darboux-Crum transformations

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

GJ15-07674Y: Studium kvantových systémů popsaných nízkodimenzionální Diracovou rovnicí

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Physical Review. A

ISSN

1050-2947

e-ISSN

—

Svazek periodika

92

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

14

Strana od-do

—

Kód UT WoS článku

000359857500010

EID výsledku v databázi Scopus

2-s2.0-84940753949