Generalized Bose-Hubbard Hamiltonians exhibiting a complete non-Hermitian degeneracy
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F19%3A00505684" target="_blank" >RIV/61389005:_____/19:00505684 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.aop.2019.03.022" target="_blank" >https://doi.org/10.1016/j.aop.2019.03.022</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aop.2019.03.022" target="_blank" >10.1016/j.aop.2019.03.022</a>
Alternative languages
Result language
angličtina
Original language name
Generalized Bose-Hubbard Hamiltonians exhibiting a complete non-Hermitian degeneracy
Original language description
The method of construction of the tridiagonal and symmetric complex-matrix Hamiltonians H-(N)(z) exhibiting an exceptional point (EP) degeneracy of the Nth (i.e., maximal) order at a preselected parameter z = z((EPN)) = 1 is proposed and tested. In general, the implementation of the method requires the use of computer-assisted symbolic manipulations, especially at the larger matrix dimensions N. The well known PT-symmetric N-by-N-matrix Bose-Hubbard Hamiltonians as well as their recent N <= 5 non-Bose-Hubbard alternatives are obtained as special solutions. Several other N >= 6 non-Bose-Hubbard models H-(N)(z) exhibiting the maximal EPN degeneracy are also constructed and analyzed in detail. In particular, their z-dependent, real or complex spectra of energies are displayed and discussed near as well as far from z((EPN)).
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
<a href="/en/project/GA16-22945S" target="_blank" >GA16-22945S: Quantum Wheeler-DeWitt equation and its unitary evolution interpretation</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
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
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Volume of the periodical
405
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
325-339
UT code for WoS article
000469902700021
EID of the result in the Scopus database
2-s2.0-85064438464