Admissible perturbations and false instabilities in PT-symmetric quantum systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F18%3A00489154" target="_blank" >RIV/61389005:_____/18:00489154 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1103/PhysRevA.97.032114" target="_blank" >http://dx.doi.org/10.1103/PhysRevA.97.032114</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevA.97.032114" target="_blank" >10.1103/PhysRevA.97.032114</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Admissible perturbations and false instabilities in PT-symmetric quantum systems

Popis výsledku v původním jazyce

One of the most characteristic mathematical features of the PT-symmetric quantum mechanics is the explicit Hamiltonian dependence of its physical Hilbert space of states H = H(H). Some of the most important physical consequences are discussed, with emphasis on the dynamical regime in which the system is close to phase transition. Consistent perturbation treatment of such a regime is proposed. An illustrative application of the innovated perturbation theory to a non-Hermitian but PT-symmetric user-friendly family of J-parametric 'discrete anharmonic' quantum Hamiltonians H = H((lambda) over right arrow) is provided. The models are shown to admit the standard probabilistic interpretation if and only if the parameters remain compatible with the reality of the spectrum, (lambda) over right arrow is an element of D-(physical). In contradiction to conventional wisdom, the systems are then shown to be stable with respect to admissible perturbations, inside the domain D-(physical), even in the immediate vicinity of the phase-transition boundaries partial derivative D-(physical).

Název v anglickém jazyce

Admissible perturbations and false instabilities in PT-symmetric quantum systems

Popis výsledku anglicky

One of the most characteristic mathematical features of the PT-symmetric quantum mechanics is the explicit Hamiltonian dependence of its physical Hilbert space of states H = H(H). Some of the most important physical consequences are discussed, with emphasis on the dynamical regime in which the system is close to phase transition. Consistent perturbation treatment of such a regime is proposed. An illustrative application of the innovated perturbation theory to a non-Hermitian but PT-symmetric user-friendly family of J-parametric 'discrete anharmonic' quantum Hamiltonians H = H((lambda) over right arrow) is provided. The models are shown to admit the standard probabilistic interpretation if and only if the parameters remain compatible with the reality of the spectrum, (lambda) over right arrow is an element of D-(physical). In contradiction to conventional wisdom, the systems are then shown to be stable with respect to admissible perturbations, inside the domain D-(physical), even in the immediate vicinity of the phase-transition boundaries partial derivative D-(physical).

Druh

J_imp - 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)

Projekt

<a href="/cs/project/GA16-22945S" target="_blank" >GA16-22945S: Kvantová Wheelerova – DeWittova rovnice a její unitárně evoluční interpretace</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review A

ISSN

2469-9926

e-ISSN

—

Svazek periodika

97

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

—

Kód UT WoS článku

000427632500002

EID výsledku v databázi Scopus

2-s2.0-85043977488