中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100314-100314.doi: 10.1088/1674-1056/19/10/100314

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External electric field control in the charge qubits including three Josephson junctions

刘海燕1, 梁宝龙1, 王继锁2   

  1. (1)Department of Physics, Liaocheng University, Liaocheng 252059, China; (2)Department of Physics, Liaocheng University, Liaocheng 252059, China; Department of Physics, Qufu Normal University, Qufu 273165, China
  • 收稿日期:2010-03-14 修回日期:2010-04-15 出版日期:2010-10-15 发布日期:2010-10-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A23), and Program of the Educational Bureau of Shandong Province of China (Grant No. J09LA07).

External electric field control in the charge qubits including three Josephson junctions

Liu Hai-Yan(刘海燕)a), Wang Ji-Suo(王继锁)a)b), and Liang Bao-Long(梁宝龙)a)   

  1. a Department of Physics, Liaocheng University, Liaocheng 252059, China; b Department of Physics, Qufu Normal University, Qufu 273165, China
  • Received:2010-03-14 Revised:2010-04-15 Online:2010-10-15 Published:2010-10-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A23), and Program of the Educational Bureau of Shandong Province of China (Grant No. J09LA07).

摘要: Based on the standard canonical quantization principle, this paper gives the quantization scheme for the charge qubits mesoscopic circuit including three Josephson junctions coupled capacitively. By virtue of the Heisenberg equation, the time evolution of the phase difference operators across the polar plates and the number operators of the Cooper-pairs on the island are investigated and the modification of the Josephson equation is discussed. The time evolution of the phase difference operators is analysed when the Josephson junctions are irradiated by the external electrical field, which is referred to as also the obtainable controlling parameter.

Abstract: Based on the standard canonical quantization principle, this paper gives the quantization scheme for the charge qubits mesoscopic circuit including three Josephson junctions coupled capacitively. By virtue of the Heisenberg equation, the time evolution of the phase difference operators across the polar plates and the number operators of the Cooper-pairs on the island are investigated and the modification of the Josephson equation is discussed. The time evolution of the phase difference operators is analysed when the Josephson junctions are irradiated by the external electrical field, which is referred to as also the obtainable controlling parameter.

Key words: control, charge qubit, Josephson junction

中图分类号:  (Quantum computation architectures and implementations)

  • 03.67.Lx
74.50.+r (Tunneling phenomena; Josephson effects)