Bose-Einstein Condensation Processes with Nontrivial Geometric Multiplicities Realized via PT-Symmetric and Exactly Solvable Linear-Bose-Hubbard Building Blocks
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50021180" target="_blank" >RIV/62690094:18470/21:50021180 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2624-960X/3/3/34" target="_blank" >https://www.mdpi.com/2624-960X/3/3/34</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/quantum3030034" target="_blank" >10.3390/quantum3030034</a>
Alternative languages
Result language
angličtina
Original language name
Bose-Einstein Condensation Processes with Nontrivial Geometric Multiplicities Realized via PT-Symmetric and Exactly Solvable Linear-Bose-Hubbard Building Blocks
Original language description
It is well known that, using the conventional non-Hermitian but (Formula presented.) symmetric Bose-Hubbard Hamiltonian with real spectrum, one can realize the Bose-Einstein condensation (BEC) process in an exceptional-point limit of order N. Such an exactly solvable simulation of the BEC-type phase transition is, unfortunately, incomplete because the standard version of the model only offers an extreme form of the limit, characterized by a minimal geometric multiplicity (Formula presented.). In our paper, we describe a rescaled and partitioned direct-sum modification of the linear version of the Bose-Hubbard model, which remains exactly solvable while admitting any value of (Formula presented.). It offers a complete menu of benchmark models numbered by a specific combinatorial scheme. In this manner, an exhaustive classification of the general BEC patterns with any geometric multiplicity is obtained and realized in terms of an exactly solvable generalized Bose-Hubbard model. © 2021 by the author.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS 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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Quantum Reports
ISSN
2624-960X
e-ISSN
2624-960X
Volume of the periodical
3
Issue of the periodical within the volume
3
Country of publishing house
CH - SWITZERLAND
Number of pages
17
Pages from-to
517-533
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85124640061