Nanosystems Physics Chemistry Mathematics

Fast-forward of standard dynamics with use of electromagnetic field

Gulmira Babajanova, Katsuhiro Nakamura

Published Feb 20, 2017• 0 citations

Abstract

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.

DOI: 10.17586/2220-8054-2017-8-1-85-91

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