Number of the records: 1
Two patterns of PT-symmetry breakdown in a non-numerical six-state simulation
- 1.
SYSNO ASEP 0491118 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Two patterns of PT-symmetry breakdown in a non-numerical six-state simulation Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI
Borisov, D. I. (CZ)Number of authors 2 Source Title Annals of Physics. - : Elsevier - ISSN 0003-4916
Roč. 394, č. 7 (2018), s. 40-49Number of pages 10 s. Publication form Print - P Language eng - English Country US - United States Keywords quantum theory ; non-Hermitian observables ; bound state instabilites ; typology ; discrete models 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) Institutional support UJF-V - RVO:61389005 UT WOS 000436908000004 EID SCOPUS 85046732375 DOI 10.1016/j.aop.2018.04.023 Annotation hree-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). Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2019
Number of the records: 1