Driving energy to accelerate the adiabatic electron dynamics in quantum Hall system

Abstract We study a scheme of accelerated adiabatic quantum dynamics. This scheme was originally proposed by Masuda-Nakamura. The strategy of combining two opposite idea: infinitely-large time-magnification factor ( ᾱ ) and infinitely-small growth rate ( ɛ ) of adiabatic parameter was elucidated. We apply the proposed method to the Hall system with electric and magnetic field and obtain regularization term, driving potential V FF and driving Hamiltonian H FF to accelerate the system. The driving potential V FF and the driving Hamiltonian H FF to be able to accelerate adiabatic electron dynamics in the ground state trapped in the plane xy and electric field in the x direction and a constant magnetic field in y direction.

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