Fast-forward of quantum adiabatic dynamics in electro-magnetic field

TL;DR

This paper presents a method to accelerate quantum adiabatic processes in electromagnetic fields, enabling rapid state transformations in both orbital and spin dynamics, with potential applications in quantum control.

Contribution

It develops an advanced fast-forward technique for quantum adiabatic dynamics, extending previous theories to include electromagnetic effects and spin systems.

Findings

Successfully fast-forwarded adiabatic squeezing and transport of wavefunctions.

Achieved rapid adiabatic spin inversion and Landau-Zener dynamics.

Connected the method with transitionless quantum driving theory.

Abstract

We show a method to accelerate quantum adiabatic dynamics of wavefunctions under electro-magnetic field by developing the previous theory (Masuda & Nakamura 2008 and 2010). Firstly we investigate the orbital dynamics of a charged particle. We derive the driving field which accelerates quantum adiabatic dynamics in order to obtain the final adiabatic states except for the spatially uniform phase such as the adiabatic phase in any desired short time. Fast-forward of adiabatic squeezing and transport in the electro-magnetic field is exhibited. Secondly we investigate spin dynamics under the magnetic field, showing the fast-forward of adiabatic spin inversion and of adiabatic dynamics in Landau-Zener model. The connection of the present framework with Kato-Berry's transitionless quantum driving is elucidated in Appendix.