Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of PT symmetry

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603917" target="_blank" >RIV/61989592:15310/20:73603917 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.nature.com/articles/s41598-020-76787-8.pdf" target="_blank" >https://www.nature.com/articles/s41598-020-76787-8.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1038/s41598-020-76787-8" target="_blank" >10.1038/s41598-020-76787-8</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of PT symmetry

Popis výsledku v původním jazyce

We study symmetries of open bosonic systems in the presence of laser pumping. Non-Hermitian Hamiltonians describing these systems can be parity-time (PT) symmetric in special cases only. Systems exhibiting this symmetry are characterised by real-valued energy spectra and can display exceptional points, where a symmetry-breaking transition occurs. We demonstrate that there is a more general type of symmetry, i.e., rotation-time (RT) symmetry. We observe that RT-symmetric non-Hermitian Hamiltonians exhibit real-valued energy spectra which can be made singular by symmetry breaking. To calculate the spectra of the studied bosonic non-diagonalisable Hamiltonians we apply diagonalisation methods based on bosonic algebra. Finally, we list a versatile set rules allowing to immediately identifying or constructing RT-symmetric Hamiltonians. We believe that our results on the RT-symmetric class of bosonic systems and their spectral singularities can lead to new applications inspired by those of the PT-symmetric systems.

Název v anglickém jazyce

Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of PT symmetry

Popis výsledku anglicky

We study symmetries of open bosonic systems in the presence of laser pumping. Non-Hermitian Hamiltonians describing these systems can be parity-time (PT) symmetric in special cases only. Systems exhibiting this symmetry are characterised by real-valued energy spectra and can display exceptional points, where a symmetry-breaking transition occurs. We demonstrate that there is a more general type of symmetry, i.e., rotation-time (RT) symmetry. We observe that RT-symmetric non-Hermitian Hamiltonians exhibit real-valued energy spectra which can be made singular by symmetry breaking. To calculate the spectra of the studied bosonic non-diagonalisable Hamiltonians we apply diagonalisation methods based on bosonic algebra. Finally, we list a versatile set rules allowing to immediately identifying or constructing RT-symmetric Hamiltonians. We believe that our results on the RT-symmetric class of bosonic systems and their spectral singularities can lead to new applications inspired by those of the PT-symmetric systems.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10306 - Optics (including laser optics and quantum optics)

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Scientific Reports

ISSN

2045-2322

e-ISSN

—

Svazek periodika

10

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

9

Strana od-do

"19906-1"-"19906-9"

Kód UT WoS článku

000595263800021

EID výsledku v databázi Scopus

2-s2.0-85096073033