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Generalized Bose-Hubbard Hamiltonians exhibiting a complete non-Hermitian degeneracy

  1. 1.
    0505684 - ÚJF 2020 RIV US eng J - Článek v odborném periodiku
    Znojil, Miloslav
    Generalized Bose-Hubbard Hamiltonians exhibiting a complete non-Hermitian degeneracy.
    Annals of Physics. Roč. 405, č. 6 (2019), s. 325-339. ISSN 0003-4916. E-ISSN 1096-035X
    Grant CEP: GA ČR GA16-22945S
    Institucionální podpora: RVO:61389005
    Klíčová slova: non-Hermitian quantum dynamics * multilevel degeneracies * higher-order exceptional points
    Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    Impakt faktor: 2.083, rok: 2019
    Způsob publikování: Omezený přístup
    https://doi.org/10.1016/j.aop.2019.03.022

    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)).
    Trvalý link: http://hdl.handle.net/11104/0297096

     
     
Počet záznamů: 1  

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