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Multiply Degenerate Exceptional Points and Quantum Phase Transitions
- 1.0451497 - ÚJF 2016 RIV US eng J - Journal Article
Borisov, D. - Růžička, František - Znojil, Miloslav
Multiply Degenerate Exceptional Points and Quantum Phase Transitions.
International Journal of Theoretical Physics. Roč. 54, č. 12 (2015), s. 4293-4305. ISSN 0020-7748. E-ISSN 1572-9575
Institutional support: RVO:61389005
Keywords : quantum mechanics * Cryptohermitian observbles * spectra and pseudospectra * real exceptional points * phase transitions
Subject RIV: BE - Theoretical Physics
Impact factor: 1.041, year: 2015
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.
Permanent Link: http://hdl.handle.net/11104/0252643
Number of the records: 1