Spacing gain and absorption in a simple PT-symmetric model: Spectral singularities and ladders of eigenvalues and resonances

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Spacing gain and absorption in a simple PT-symmetric model: Spectral singularities and ladders of eigenvalues and resonances

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Spacing gain and absorption in a simple PT-symmetric model: Spectral singularities and ladders of eigenvalues and resonances

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Journal of physics A - mathematical and theoretical

ISSN

1751-8113

e-ISSN

—

Svazek periodika

52

Číslo periodika v rámci svazku

44

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

28

Strana od-do

"Article number 445202"

Kód UT WoS článku

000509113100002

EID výsledku v databázi Scopus

2-s2.0-85073823708