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Nanosystems: Physics, Chemistry, Mathematics, 2023, Volume 14, Issue 2, Pages 164–171
DOI: https://doi.org/10.17586/2220-8054-2023-14-2-164-171 (Mi nano1176) 		 
PHYSICS

Optical high harmonic generation in a quantum graph

Saparboy Z. Rakhmanova, Ikhvoliddin B. Tursunovb, Khikmatjon Sh. Matyokubovc, Davron U. Matrasulovd

a Chirchik State Pedagogical University, Chirchik, Uzbekistan
b National Universty of Uzbekistan, Vuzgorodok, Tashkent, Uzbekistan
c Urgench State University, Urgench, Uzbekistan
d Turin Polytechnic University in Tashkent, Tashkent, Uzbekistan
Full-text PDF (707 kB)
DOI: https://doi.org/10.17586/2220-8054-2023-14-2-164-171
Abstract: High ordered harmonic generation in a quantum graph is studied by considering quantum star graph interacting with external monochromatic optical field. Using the numerically obtained solutions of the time-dependent Schrödinger equation on quantum graph, main characteristics of high harmonic generation are computed. In particular, time-dependence of the average dipole moment and high harmonic generation spectra, determined as the generated field intensity as a function of harmonic order are analyzed. Extension of the proposed model to the case of other graph topologies and application to the problem of tunable high harmonic generation are discussed.
Keywords: quantum graphs, optical high harmonic generation, average dipole moment, harmonic generation spectra, quantum graph in electromagnetic field.
Funding agency Grant number
Ministry of Innovative Development of the Republic of Uzbekistan REP-05032022/235
This work is supported by the grant of the Ministry of Innovative Development of the Republic of Uzbekistan, World Bank Project “Modernizing Uzbekistan National Innovation System” (Ref. Nr. REP-05032022/235).
Received: 14.02.2023
Revised: 28.03.2023
Accepted: 29.03.2023
Bibliographic databases:
Document Type: Article
Language: English
Citation: Saparboy Z. Rakhmanov, Ikhvoliddin B. Tursunov, Khikmatjon Sh. Matyokubov, Davron U. Matrasulov, “Optical high harmonic generation in a quantum graph”, Nanosystems: Physics, Chemistry, Mathematics, 14:2 (2023), 164–171
Citation in format AMSBIB
\Bibitem{RakTurMat23}
\by Saparboy~Z.~Rakhmanov, Ikhvoliddin~B.~Tursunov, Khikmatjon~Sh.~Matyokubov, Davron~U.~Matrasulov
\paper Optical high harmonic generation in a quantum graph
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2023
\vol 14
\issue 2
\pages 164--171
\mathnet{http://mi.mathnet.ru/nano1176}
\crossref{https://doi.org/10.17586/2220-8054-2023-14-2-164-171}
\elib{https://elibrary.ru/item.asp?id=51852261}
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