Two patterns of PT-symmetry breakdown in a non-numerical six-state simulation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F18%3A50014837" target="_blank" >RIV/62690094:18470/18:50014837 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/18:00491118
Result on the web
<a href="http://dx.doi.org/10.1016/j.aop.2018.04.023" target="_blank" >http://dx.doi.org/10.1016/j.aop.2018.04.023</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aop.2018.04.023" target="_blank" >10.1016/j.aop.2018.04.023</a>

Result language
angličtina
Original language name
Two patterns of PT-symmetry breakdown in a non-numerical six-state simulation
Original language description
Three-parametric family of non-Hermitian but PT-symmetric six-by-six matrix Hamiltonians H-(6)(x, y, z) is considered. The PT-symmetry remains spontaneously unbroken (i.e., the spectrum of the bound-state energies remains real so that the unitary-evolution stability of the quantum system in question is shown guaranteed) in a non-empty domain D-(physical) of parameters x, y, z. The construction of the exceptional-point (EP) boundary partial derivative D-(physical) of the physical domain is preformed using an innovative non-numerical implicit-function-construction strategy. The topology of the resulting EP boundary of the spontaneous PT-symmetry breakdown (i.e., of the physical "horizon of stability") is shown similar to its much more elementary N = 4 predecessor. Again, it is shown to consist of two components, viz., of the region of the quantum phase transitions of the first kind (during which at least some of the energies become complex) and of the quantum phase transitions of the second kind (during which some of the level pairs only cross but remain real). (C) 2018 Elsevier Inc. All rights reserved.
Czech name
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Czech description
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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
10102 - Applied mathematics

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

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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