Driving energy to accelerate the adiabatic electron dynamics in quantum Hall system
Iwan SetiawanProgram Studi Pendidikan Fisika, Universitas Bengkulu, Jl. WR Supratman, Kota Bengkulu 38122, IndonesiaAhmad SyarkowiProgram Studi Pendidikan Fisika, Universitas Bengkulu, Jl. WR Supratman, Kota Bengkulu 38122, IndonesiaA SyatyatuhuDepartemen Fisika, Institut Teknologi Bandung Jl. Ganesha 10 Bandung 40132, IndonesiaBobby Eka GunaraDepartemen Fisika, Institut Teknologi Bandung Jl. Ganesha 10 Bandung 40132, Indonesia
2021en
ABI
Abstract
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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