Dynamical properties of two electrons confined in a line shape three quantum dot molecules driven by an ac-field

Details Dynamical properties of two electrons confined in a line shape three quantum dot molecules driven by an ac-field Dynamical properties of two electrons confined in a line shape three quantum dot molecules driven by an ac-field

2003-01-20

arxiv.org/abs/cond-mat/0301352v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, 3 figures. Reviews are welcomed to chengshi@mail.jzptt.ln.cn

Scientific paper

Using the three-site Hubbard model and Floquet theorem, we investigate the dynamical behaviors of two electrons which are confined in a line-shape three quantum dot molecule driven by an AC electric field. Because the Hamiltonian contains no spin-flip terms, the six- dimension singlet state and nine-dimensional triplet state sub-spaces are decoupled and can be discussed respectively. In particular, the nine-dimensional triplet state sub-spaces can also be divided into 3 three-dimensional state sub-spaces which are fully decoupled. The analysis shows that the Hamiltonian in each three-dimensional triplet state sub-space, as well as the singlet state sub-space for the no double-occupancy case, has the same form similar to that of the driven two electrons in two-quantum-dot molecule. Through solving the time-dependent Sch\"odinger equation, we investigate the dynamical properties in the singlet state sub-space, and find that the two electrons can maintain their initial localized state driven by an appropriately ac-field. Particularly, we find that the electron interaction enhances the dynamical localization effect. The use of both perturbation analytic and numerical approach to solve the Floquet function leads to a detail understanding of this effect.

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