Resonances and continued-fraction Green's functions in non-Hermitian Bose-Hubbard-like quantum models
The result's identifiers
Result code in 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>
Alternative codes found
RIV/62690094:18470/25:50022432
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Resonances and continued-fraction Green's functions in non-Hermitian Bose-Hubbard-like quantum models
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Physics
ISSN
0003-4916
e-ISSN
1096-035X
Volume of the periodical
480
Issue of the periodical within the volume
September
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
170088
UT code for WoS article
001514060500001
EID of the result in the Scopus database
2-s2.0-105007147973