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Generalized Bose-Hubbard Hamiltonians exhibiting a complete non-Hermitian degeneracy
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SYSNO ASEP 0505684 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Generalized Bose-Hubbard Hamiltonians exhibiting a complete non-Hermitian degeneracy Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Number of authors 1 Source Title Annals of Physics. - : Elsevier - ISSN 0003-4916
Roč. 405, č. 6 (2019), s. 325-339Number of pages 15 s. Publication form Print - P Language eng - English Country US - United States Keywords non-Hermitian quantum dynamics ; multilevel degeneracies ; higher-order exceptional points Subject RIV BE - Theoretical Physics OECD category Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect) R&D Projects GA16-22945S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support UJF-V - RVO:61389005 UT WOS 000469902700021 EID SCOPUS 85064438464 DOI 10.1016/j.aop.2019.03.022 Annotation 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)). Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2020 Electronic address https://doi.org/10.1016/j.aop.2019.03.022
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