Admissible perturbations and false instabilities in PT-symmetric quantum systems

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Admissible perturbations and false instabilities in PT-symmetric quantum systems
Original language description
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).
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
<a href="/en/project/GA16-22945S" target="_blank" >GA16-22945S: Quantum Wheeler-DeWitt equation and its unitary evolution interpretation</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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