Passage through exceptional point: case study

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50016875" target="_blank" >RIV/62690094:18470/20:50016875 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/20:00524156
Result on the web
<a href="https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2019.0831" target="_blank" >https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2019.0831</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1098/rspa.2019.0831" target="_blank" >10.1098/rspa.2019.0831</a>

Result language
angličtina
Original language name
Passage through exceptional point: case study
Original language description
The description of unitary evolution using non-Hermitian but 'hermitizable' Hamiltonians H is feasible via an ad hoc metric Theta=Theta (H) and a (non-unique) amendment psi(1)|psi(2)->psi(1)|Theta |psi(2) of the inner product in Hilbert space. Via a proper fine-tuning of Theta (H) this opens the possibility of reaching the boundaries of stability (i.e. exceptional points) in many quantum systems sampled here by the fairly realistic Bose-Hubbard (BH) and discrete anharmonic oscillator (AO) models. In such a setting, it is conjectured that the EP singularity can play the role of a quantum phase-transition interface between different dynamical regimes. Three alternative 'AO <-> BH' implementations of such an EP-mediated dynamical transmutation scenario are proposed and shown, at an arbitrary finite Hilbert-space dimension N, exact and non-numerical.
Czech name
—
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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN
1364-5021
e-ISSN
—
Volume of the periodical
476
Issue of the periodical within the volume
2236
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
"Article Number: 20190831"
UT code for WoS article
000526872800001
EID of the result in the Scopus database
2-s2.0-85084927088

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