中国物理B ›› 2005, Vol. 14 ›› Issue (2): 409-419.doi: 10.1088/1009-1963/14/2/033

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Effects of bias on dynamics of an AC-driven two-electron quantum-dot molecule

王立民1, 段素青1, 赵宪庚1, 刘承师2   

  1. (1)Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; (2)The Interdisciplinary Centre of Theoretical Studies, Chinese Academy of Sciences, Beijing 100080, China
  • 收稿日期:2004-07-09 修回日期:2004-10-08 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    Project supported jointly by the National Natural Science Foundation of China (Grant Nos 10274007 and 90103027), and by the Doctoral Research Fund For Hebei Normal University.

Effects of bias on dynamics of an AC-driven two-electron quantum-dot molecule

Wang Li-Min (王立民)a, Duan Su-Qing (段素青)a, Zhao Xian-Geng (赵宪庚)a, Liu Cheng-Shi (刘承师)b   

  1. a Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; b The Interdisciplinary Centre of Theoretical Studies, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2004-07-09 Revised:2004-10-08 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    Project supported jointly by the National Natural Science Foundation of China (Grant Nos 10274007 and 90103027), and by the Doctoral Research Fund For Hebei Normal University.

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摘要： The effects of bias on the dynamical localization of two interacting electrons in a pair of coupled quantum dots driven by external AC fields have been numerically investigated. With an effective two-site model and Floquet formalism, the time-dependent Schr?dinger equation is numerically solved and the Pmin, the minimum of the population evolution of the initial state within a certain time period, is used to quantify the degree of the dynamical localization. Results indicate that the bias can change the energy of the initial state and break the dynamical symmetry of the system with a pure AC field. And the amplitude of the AC field with dynamical localization phenomenon changes with bias. All the numerical results are explained by the perturbation theory and two-level approximation.

关键词: dynamical localization, quantum dots, quasi-energy, Floquet state

Abstract: The effects of bias on the dynamical localization of two interacting electrons in a pair of coupled quantum dots driven by external AC fields have been numerically investigated. With an effective two-site model and Floquet formalism, the time-dependent Schr?dinger equation is numerically solved and the Pmin, the minimum of the population evolution of the initial state within a certain time period, is used to quantify the degree of the dynamical localization. Results indicate that the bias can change the energy of the initial state and break the dynamical symmetry of the system with a pure AC field. And the amplitude of the AC field with dynamical localization phenomenon changes with bias. All the numerical results are explained by the perturbation theory and two-level approximation.

Key words: dynamical localization, quantum dots, quasi-energy, Floquet state

中图分类号:  (Quantum dots)

  • 73.21.La
73.20.Fz (Weak or Anderson localization) 73.63.Kv (Quantum dots) 71.10.-w (Theories and models of many-electron systems)