Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: II. Nonconventional PT-symmetric dynamics and unidirectional coupling
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633903" target="_blank" >RIV/61989592:15310/25:73633903 - isvavai.cz</a>
Result on the web
<a href="https://quantum-journal.org/papers/q-2025-12-10-1933/pdf/" target="_blank" >https://quantum-journal.org/papers/q-2025-12-10-1933/pdf/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.22331/q-2025-12-10-1933" target="_blank" >10.22331/q-2025-12-10-1933</a>
Alternative languages
Result language
angličtina
Original language name
Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: II. Nonconventional PT-symmetric dynamics and unidirectional coupling
Original language description
We analyze the existence and degeneracies of quantum exceptional, diabolical, and hybrid points in simple bosonic systems-comprising up to six modes with damping and/or amplification-under two complementary scenarios to those of Ref. [1]: (i) nonconventional PT-symmetric dynamics confined to a subspace of the full Liouville space, and (ii) systems featuring unidirectional coupling. The system dynamics described by quadratic non-Hermitian Hamiltonians is governed by the Heisenberg-Langevin equations. Conditions for the observation of inherited quantum hybrid points with up to sixth-order exceptional and second-order diabolical degeneracies are revealed, though relevant only for short-time dynamics. This raises the question of whether higher-order inherited singularities exist in bosonic systems under general conditions. Nevertheless, for short times, unidirectional coupling of various types enables the concatenation of simple bosonic systems with second-and third-order exceptional degeneracies such that arbitrarily high exceptional degeneracies are reached. Methods for numerical identifying the quantum exceptional and hybrid points together with their degeneracies are addressed. Following Ref. [1] rich dynamics of second-order field-operator moments is analyzed from the point of view of the presence of exceptional and diabolical points and their degeneracies.
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
10306 - Optics (including laser optics and quantum optics)
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Quantum
ISSN
2521-327X
e-ISSN
2521-327X
Volume of the periodical
9
Issue of the periodical within the volume
NOV
Country of publishing house
AT - AUSTRIA
Number of pages
32
Pages from-to
"1933-1"-"1933-32"
UT code for WoS article
001637089100001
EID of the result in the Scopus database
2-s2.0-105024527424