Fast forward generation of the quantum Hall state in the Dirac system Iwan Setiawan, Ryan Sugihakim, Bobby Eka Gunara
Universitas Bengkulu, Bandung Institute of Technology
Abstract
We study a scheme of accelerated adiabatic quantum dynamics of Dirac particles. This scheme was originally proposed by Masuda-Nakamura. The strategy of combining two opposite ideas: infinitely-large time-magnification factor and infinitely-small growth rate of adiabatic parameter was elucidated. The accelerated adiabatic state is obtained by calculating the regularization term and driving potential. We introduce the proposed method to the system with Dirac particle by using a 2 + 1 dimension time-dependent Dirac equation and obtained the regularization term, driving scalar potential VF F and driving vector potential AF F . By tuning the driving electric field, this method to be able to accelerate adiabatic dynamics of electron as a Dirac particle in the ground state trapped in the plane xy and electric field in the x direction and a constant magnetic field in y direction. This acceleration will preserve the ground state of the wave function from initial to the final time
