najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2025-16-3-298-305najo-317Research ArticleNANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICSНАНОСИСТЕМЫ: ФИЗИКА, ХИМИЯ, МАТЕМАТИКАFast forward of adiabatic quantum dynamics: an application to planar Dirac systemsБыстрое развитие адиабатической квантовой динамики: применение к плоским системам Диракаhttps://orcid.org/0000-0001-5962-4844СетиаванИ.SetiawanI.

Iwan Setiawan - Physics Education Department

Kandang Limun, Bengkulu 38371

iwansetiawan@unib.ac.idhttps://orcid.org/0000-0001-5634-4695ЭкавитаР.EkawitaR.

Riska Ekawita - Physics Department

Kandang Limun, Bengkulu 38371

https://orcid.org/0000-0002-2219-1405СугихакимР.SugihakimR.

Ryan Sugihakim - Theoretical High Energy Physics

Jalan Ganesha 10, Bandung 40132

ryan.s.hakim@gmail.comhttps://orcid.org/0000-0002-6529-7664ГунараБ. Э.GunaraB. E.

Bobby Eka Gunara - Theoretical High Energy Physics

Jalan Ganesha 10, Bandung 40132

bobby@itb.ac.idPhysics Education Department, University of BengkuluIndonesiaPhysics Department, University of BengkuluIndonesiaInstitut Teknologi BandungIndonesia202529062025163298305Copyright © Setiawan I., Ekawita R., Sugihakim R., Gunara B.E., 20252025Сетиаван И., Экавита Р., Сугихаким Р., Гунара Б.Э.Setiawan I., Ekawita R., Sugihakim R., Gunara B.E.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/317

We study a scheme of fast-forward adiabatic quantum dynamics of a (2 + 1) Dirac particle. This scheme was originally proposed by Masuda and Nakamura. In this scheme, we include the adiabatic parameter that maintains the adiabatic motion of the particle and fast forward its motion by introducing a time scaling parameter. The fast forward adiabatic state is obtained by determining the regularization term and driving potential. We introduce the proposed method to the system with the Dirac particle using a (2 + 1) dimensiontime- dependent Dirac equation and obtain the regularization term, the driving scalar potential VFF and the driving vector potential AFF . By tuning the driving electric field, this method can accelerate the adiabatic dynamics of an electron as a Dirac particle trapped in the ground state in the plane xy and an electric field in the x direction and a constant magnetic field in the y direction. This acceleration will preserve the ground state of the wave function from the initial time to the final time.

Мы изучаем схему ускоренной адиабатической квантовой динамики (2+1) дираковской частицы. Эта схема была первоначально предложена Масудой и Накамурой. В этой схеме мы включаем адиабатический параметр, который поддерживает адиабатическое движение частицы, и ускоряем ее движение вперед, вводя параметр масштабирования времени. Ускоренное адиабатическое состояние вперед получается путем определения члена регуляризации и движущего потенциала. Мы вводим предлагаемый метод в систему с дираковской частицей, используя зависящее от размерности времени уравнение Дирака (2+1), и получаем член регуляризации, движущий скалярный потенциал и движущий векторный потенциал. Настраивая движущее электрическое поле, этот метод может ускорить адиабатическую динамику электрона как дираковской частицы, захваченной в основном состоянии в плоскости  xy и электрическом поле в направлении x и постоянном магнитном поле в направлении  y. Это ускорение сохранит основное состояние волновой функции от начального до конечного момента времени.

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