Parity-Time Symmetry and the Toy Models of Gain-Loss Dynamics near the Real Kato's Exceptional Points

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F16%3A00461197" target="_blank" >RIV/61389005:_____/16:00461197 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.3390/sym8060052" target="_blank" >http://dx.doi.org/10.3390/sym8060052</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/sym8060052" target="_blank" >10.3390/sym8060052</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Parity-Time Symmetry and the Toy Models of Gain-Loss Dynamics near the Real Kato's Exceptional Points

Popis výsledku v původním jazyce

For a given operator D(t) of an observable in theoretical parity-time symmetric quantum physics (or for its evolution-generator analogues in the experimental gain-loss classical optics, etc.) the instant t(critical) of a spontaneous breakdown of the parity-time alias gain-loss symmetry should be given, in the rigorous language of mathematics, the Kato's name of an "exceptional point", t(critical) = t((EP)). In the majority of conventional applications the exceptional point (EP) values are not real. In our paper, we pay attention to several exactly tractable toy-model evolutions for which at least some of the values of t((EP)) become real. These values are interpreted as "instants of a catastrophe", be it classical or quantum. In the classical optical setting the discrete nature of our toy models might make them amenable to simulations. In the latter context the instant of Big Bang is mentioned as an illustrative sample of possible physical meaning of such an EP catastrophe in quantum cosmology.

Název v anglickém jazyce

Parity-Time Symmetry and the Toy Models of Gain-Loss Dynamics near the Real Kato's Exceptional Points

Popis výsledku anglicky

For a given operator D(t) of an observable in theoretical parity-time symmetric quantum physics (or for its evolution-generator analogues in the experimental gain-loss classical optics, etc.) the instant t(critical) of a spontaneous breakdown of the parity-time alias gain-loss symmetry should be given, in the rigorous language of mathematics, the Kato's name of an "exceptional point", t(critical) = t((EP)). In the majority of conventional applications the exceptional point (EP) values are not real. In our paper, we pay attention to several exactly tractable toy-model evolutions for which at least some of the values of t((EP)) become real. These values are interpreted as "instants of a catastrophe", be it classical or quantum. In the classical optical setting the discrete nature of our toy models might make them amenable to simulations. In the latter context the instant of Big Bang is mentioned as an illustrative sample of possible physical meaning of such an EP catastrophe in quantum cosmology.

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

<a href="/cs/project/GA16-22945S" target="_blank" >GA16-22945S: Kvantová Wheelerova – DeWittova rovnice a její unitárně evoluční interpretace</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Symmetry-Basel

ISSN

2073-8994

e-ISSN

—

Svazek periodika

8

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

14

Strana od-do

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Kód UT WoS článku

000378737600015

EID výsledku v databázi Scopus

2-s2.0-84975709191