Quantum phase transitions in nonhermitian harmonic oscillator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017330" target="_blank" >RIV/62690094:18470/20:50017330 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/20:00536543
Result on the web
<a href="https://www.nature.com/articles/s41598-020-75468-w.pdf" target="_blank" >https://www.nature.com/articles/s41598-020-75468-w.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1038/s41598-020-75468-w" target="_blank" >10.1038/s41598-020-75468-w</a>
Alternative languages
Result language
angličtina
Original language name
Quantum phase transitions in nonhermitian harmonic oscillator
Original language description
The Stone theorem requires that in a physical Hilbert space H the time-evolution of a stable quantum system is unitary if and only if the corresponding Hamiltonian H is self-adjoint. Sometimes, a simpler picture of the evolution may be constructed in a manifestly unphysical Hilbert space K in which H is nonhermitian but PT-symmetric. In applications, unfortunately, one only rarely succeeds in circumventing the key technical obstacle which lies in the necessary reconstruction of the physical Hilbert space H. For a PT-symmetric version of the spiked harmonic oscillator we show that in the dynamical regime of the unavoided level crossings such a reconstruction of H becomes feasible and, moreover, obtainable by non-numerical means. The general form of such a reconstruction of H enables one to render every exceptional unavoided-crossing point tractable as a genuine, phenomenologically most appealing quantum-phase-transition instant.
Czech name
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Czech description
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Classification
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
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Scientific reports
ISSN
2045-2322
e-ISSN
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Volume of the periodical
10
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
9
Pages from-to
"Article Number: 18523"
UT code for WoS article
000587657600019
EID of the result in the Scopus database
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