Perturbative theory and quantum rate equation of time-dependent double-well tran sport

Xu Hai-Lei; Shen Jian-Qi; Chen Yi-Xin

doi:10.7498/aps.52.1372

Abstract
The perturbative evaluation of the time-dependent quantum transport is investigated by making use of the Lewis-Riesenfeld invariant theory and the invariant-related unitary transformation formulation in this paper.We obtain the complete set of solutions of the time-dependent Schrdinger equation governing the behaviour of electrons in a double-well structure. Based on these exact solutions,we obtain the first-order quantum rate equation by regarding the interaction Hamiltonian between the double-well structures and the heat reservoirs as the perturbative Hamiltonian.An approach to the geometric phase factor (Berry's phase factor) in the adiabatic quantum transport process is briefly discussed in this paper.We hold that the formulation presented here has advantages in dealing with transport problem over the method proposed by Gurvitz et al.

Keywords:
time-dependent quantum transport /

quantum rate equation /

invariant /

geometric phase factor
Authors and contacts
Xu Hai-Lei¹,

Shen Jian-Qi²,

Chen Yi-Xin¹

(1)浙江近代物理中心，浙江大学物理系，杭州 310027; (2)浙江近代物理中心，浙江大学物理系，杭州 310027;浙江大学现代光学仪器国家重点实验室，光及电磁波研究中心，杭州 310027
References

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Vol. 52, Issue 6 - 2003-03-20

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