Quantum phase transitions mediated by clustered non-Hermitian degeneracies

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F21%3A00542746" target="_blank" >RIV/61389005:_____/21:00542746 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/21:50018614
Result on the web
<a href="https://doi.org/10.1103/PhysRevE.103.032120" target="_blank" >https://doi.org/10.1103/PhysRevE.103.032120</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.103.032120" target="_blank" >10.1103/PhysRevE.103.032120</a>

Result language
angličtina
Original language name
Quantum phase transitions mediated by clustered non-Hermitian degeneracies
Original language description
The phenomenon of degeneracy of an N-plet of bound states is studied in the framework of the quasi-Hermitian (a.k.a. PT-symmetric) formulation of quantum theory of closed systems. For a general non-Hermitian Hamiltonian H = H(lambda) such a degeneracy may occur at a real Kato's exceptional point lambda((EPN)) of order N and of the geometric multiplicity alias clusterization index K. The corresponding unitary process of collapse (loss of observability) can be then interpreted as a generic quantum phase transition. The dedicated literature deals, predominantly, with the non-numerical benchmark models of the simplest processes where K = 1. In our present paper it is shown that in the 'anomalous' dynamical scenarios with 1 < K <= N/2 an analogous approach is applicable. A multiparametric anharmonic-oscillator-type exemplification of such systems is constructed as a set of real-matrix N by N Hamiltonians which are exactly solvable, maximally non-Hermitian, and labeled by specific ad hoc partitionings R(N) of N.
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
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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