Quantum phase transitions mediated by clustered non-Hermitian degeneracies
Popis výsledku
Identifikátory výsledku
Kód výsledku v IS VaVaI
Nalezeny alternativní kódy
RIV/62690094:18470/21:50018614
Výsledek na webu
DOI - Digital Object Identifier
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Quantum phase transitions mediated by clustered non-Hermitian degeneracies
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Quantum phase transitions mediated by clustered non-Hermitian degeneracies
Popis výsledku anglicky
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.
Klasifikace
Druh
Jimp - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Návaznosti výsledku
Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Ostatní
Rok uplatnění
2021
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Physical Review E
ISSN
2470-0045
e-ISSN
2470-0053
Svazek periodika
103
Číslo periodika v rámci svazku
3
Stát vydavatele periodika
US - Spojené státy americké
Počet stran výsledku
13
Strana od-do
032120
Kód UT WoS článku
000650938800005
EID výsledku v databázi Scopus
2-s2.0-85102943972
Druh výsledku
Jimp - Článek v periodiku v databázi Web of Science
OECD FORD
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Rok uplatnění
2021