najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2017-8-1-85-91najo-788Research ArticlePHYSICSФИЗИКАFast-forward of standard dynamics with use of electromagnetic fieldBabajanovaG.

Vuzgorodok, Tashkent 100174

gobabajanova@gmail.comNakamuraK.

Vuzgorodok, Tashkent 100174

Sumiyoshi-ku, Osaka 558-858

Faculty of Physics, National University of UzbekistanUzbekistanFaculty of Physics, National University of Uzbekistan; Department of Applied Physics, Osaka City UniversityJapan201713082025818591Copyright © Babajanova G., Nakamura K., 20252025Babajanova G., Nakamura K.Babajanova G., Nakamura K.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/788

We introduce Khujakulov and Nakamura’s scheme for the exact fast-forwarding of standard quantum dynamics for a charged particle. The idea allows the acceleration of both amplitude and phase of the wave function throughout the fast-forwarding time range. Firstly we shall apply the proposed method to 1-D free wave packet dynamics and obtain the electromagnetic field to ensure its rapid propagation and diffusion. Then we proceed to study 1-D quantum tunneling phenomenon, namely a rapid penetration of wave function through a delta-function type barrier. We elucidate the distribution of the tunneling current density to show the remarkable enhancement of the tunneling rate (tunneling power) due the fast-forwarding. We introduce two types of time-magnification factors and confirm the stability of fast-forward against the variation of such factors.

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