Resonances and continued-fraction Green's functions in non-Hermitian Bose-Hubbard-like quantum models

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F25%3A00637161" target="_blank" >RIV/61389005:_____/25:00637161 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/62690094:18470/25:50022432

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0003491625001708" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0003491625001708</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.aop.2025.170088" target="_blank" >10.1016/j.aop.2025.170088</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Resonances and continued-fraction Green's functions in non-Hermitian Bose-Hubbard-like quantum models

Popis výsledku v původním jazyce

With resonances treated as eigenstates of a non-Hermitian quantum Hamiltonian H, the task of localization of the complex energy eigenvalues of H is considered. The paper is devoted to its reduced version in which one only computes the real quantities called singular values of H. It is shown that in such an approach (and under suitable constraints including the tridiagonality of H) the singular values can be sought as poles of a 'Hermitized' Green's function expressible in terms of a doublet of matrix continued fractions. A family of multi-bosonic Bose-Hubbard-like complex Hamiltonians is recalled for illustration purposes.

Název v anglickém jazyce

Resonances and continued-fraction Green's functions in non-Hermitian Bose-Hubbard-like quantum models

Popis výsledku anglicky

With resonances treated as eigenstates of a non-Hermitian quantum Hamiltonian H, the task of localization of the complex energy eigenvalues of H is considered. The paper is devoted to its reduced version in which one only computes the real quantities called singular values of H. It is shown that in such an approach (and under suitable constraints including the tridiagonality of H) the singular values can be sought as poles of a 'Hermitized' Green's function expressible in terms of a doublet of matrix continued fractions. A family of multi-bosonic Bose-Hubbard-like complex Hamiltonians is recalled for illustration purposes.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Annals of Physics

ISSN

0003-4916

e-ISSN

1096-035X

Svazek periodika

480

Číslo periodika v rámci svazku

September

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

170088

Kód UT WoS článku

001514060500001

EID výsledku v databázi Scopus

2-s2.0-105007147973