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Multiply Degenerate Exceptional Points and Quantum Phase Transitions

SYSNO ASEP	0451497
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Multiply Degenerate Exceptional Points and Quantum Phase Transitions
Author(s)	Borisov, D. (RU) Růžička, František (UJF-V)_ORCID Znojil, Miloslav (UJF-V)_{RID, ORCID, SAI}
Number of authors	3
Source Title	International Journal of Theoretical Physics - ISSN 0020-7748 Roč. 54, č. 12 (2015), s. 4293-4305
Number of pages	13 s.
Publication form	Print - P
Language	eng - English
Country	US - United States
Keywords	quantum mechanics ; Cryptohermitian observbles ; spectra and pseudospectra ; real exceptional points ; phase transitions
Subject RIV	BE - Theoretical Physics
Institutional support	UJF-V - RVO:61389005
UT WOS	000364224200011
EID SCOPUS	84945895085
DOI	10.1007/s10773-014-2493-y
Annotation	The realization of a genuine phase transition in quantum mechanics requires that at least one of the Kato's exceptional-point parameters becomes real. A new family of finite-dimensional and time-parametrized quantum-lattice models with such a property is proposed and studied. All of them exhibit, at a real exceptional-point time t = 0, the Jordan-block spectral degeneracy structure of some of their observables sampled by Hamiltonian H(t) and site-position Q(t). The passes through the critical instant t = 0 are interpreted as schematic simulations of non-equivalent versions of the Big-Bang-like quantum catastrophes.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2016

Number of the records: 1