Complex time method for quantum dynamics when an exceptional point is encircled in the parameter space
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F22%3A00566962" target="_blank" >RIV/68378271:_____/22:00566962 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.aop.2022.168939" target="_blank" >https://doi.org/10.1016/j.aop.2022.168939</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aop.2022.168939" target="_blank" >10.1016/j.aop.2022.168939</a>
Alternative languages
Result language
angličtina
Original language name
Complex time method for quantum dynamics when an exceptional point is encircled in the parameter space
Original language description
We revisit the complex time method for the application to quantum dynamics as an exceptional point is encircled in the parameter space of the Hamiltonian. The basic idea of the complex time method is using complex contour integration to perform the first-order adiabatic perturbation integral. In this way, the quantum dynamical problem is transformed to a study of singularities in the complex time plane – transition points – which represent complex degeneracies of the adiabatic Hamiltonian as the time-dependent parameters defining the encircling contour are analytically continued to complex plane. As an underlying illustration of the approach we discuss a swith between Rabi oscillations and rapid adiabatic passage which occurs upon the encircling of an exceptional point in a special time-symmetric case.
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
<a href="/en/project/GA20-21179S" target="_blank" >GA20-21179S: Observations of exceptional points in atomic physics using XUV laser pulses</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Physics
ISSN
0003-4916
e-ISSN
1096-035X
Volume of the periodical
443
Issue of the periodical within the volume
Aug
Country of publishing house
US - UNITED STATES
Number of pages
81
Pages from-to
168939
UT code for WoS article
000817825900001
EID of the result in the Scopus database
2-s2.0-85132402637