najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2023-14-2-164-171najo-125Research ArticlePHYSICSФИЗИКАOptical high harmonic generation in a quantum graphГенерация высших оптических гармоник в квантовом графеhttps://orcid.org/0000-0001-8569-1709РахмановС.RakhmanovS. Z.

SaparboyZ. Rakhmanov

104 Amir Temur Str., 111700, Chirchik

saparboy92@gmail.comТурсуновИ.TursunovI. B.

IkhvoliddinB. Tursunov

Vuzgorodok, 100174, Tashkent

ixvoliddin.tursunov.1998.04.07@gmail.comhttps://orcid.org/0000-0002-6642-5488МатёкубовХ.MatyokubovK. Sh.

Khikmatjon Sh. Matyokubov

14 H. Olimjon Str., 220100 Urgench

https://orcid.org/0000-0001-8957-0058МатрасуловД.MatrasulovD. U.

DavronU. Matrasulov

17 Niyazov Str., 100095, Tashkent

dmatrasulov@gmail.comChirchik State Pedagogical UniversityUzbekistanNational Universty of UzbekistanUzbekistanUrgench State UniversityUzbekistanTurin Polytechnic University in TashkentUzbekistan202303062025142164171Copyright © Rakhmanov S.Z., Tursunov I.B., Matyokubov K.S., Matrasulov D.U., 20252025Рахманов С., Турсунов И., Матёкубов Х., Матрасулов Д.Rakhmanov S.Z., Tursunov I.B., Matyokubov K.S., Matrasulov D.U.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/125

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 Schr¨ odinger 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.

Рассмотрено генерация гармоник высокого порядка в квантовом графе, на примере квантового звездообразного  графа, взаимодействующего с внешним монохроматическим оптическим полем. Используя полученные численно решения нестационарного уравнения Шредингера на квантовом графе, вычислено основные характеристики генерации высших гармоник. В частности, анализируется временная зависимость среднего дипольного момента и спектра генерации высших гармоник, определяемого как интенсивность  генерируемого поля как функцию порядка гармоники. Обсуждено обобщение предложенной модели на случай других топологий графов и применение к проблеме настраиваемой генерации высших гармоник.

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The authors declare that there are no conflicts of interest present.