Cooper-pair number-phase quantization analysis in double-Josephson-junction mesoscopic circuit coupled by a capacitor

doi:10.1088/1674-1056/17/2/056

中国物理B ›› 2008, Vol. 17 ›› Issue (2): 697-701.doi: 10.1088/1674-1056/17/2/056

Cooper-pair number-phase quantization analysis in double-Josephson-junction mesoscopic circuit coupled by a capacitor

范洪义¹, 梁宝龙², 王继锁²

(1)Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China; (2)School of Physical Science and Information Engineering,Liaocheng University, Liaocheng 252059, China

收稿日期:2007-06-23 修回日期:2007-07-03 出版日期:2008-02-20 发布日期:2008-02-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 10574060) and the Natural Science Foundation (Grant No Y2004A09) of Shandong Province, China.

Cooper-pair number-phase quantization analysis in double-Josephson-junction mesoscopic circuit coupled by a capacitor

Liang Bao-Long(梁宝龙)^a), Wang Ji-Suo(王继锁)^a)†, and Fan Hong-Yi(范洪义)^b)c)

^a School of Physical Science and Information Engineering,Liaocheng University, Liaocheng 252059, China; ^b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China; ^c Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China

Received:2007-06-23 Revised:2007-07-03 Online:2008-02-20 Published:2008-02-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 10574060) and the Natural Science Foundation (Grant No Y2004A09) of Shandong Province, China.

摘要/Abstract

摘要： This paper examines the quantization of mesoscopic circuit including Josephson junctions. Following Feynman's assumption, via the Hamilton dynamic approach and by virtue of the entangled state representation, it constructs Hamiltonian operator for the double-Josephson-junction mesoscopic circuit coupled by a capacitor. Then it uses the Heisenberg equation of motion to derive the induction voltage across each Josephson junction. The result manifestly shows how the voltage is affected by the capacitance coupling.

关键词: Josephson-junction, Cooper-pair, entangled state representation, phase squeezing

Abstract: This paper examines the quantization of mesoscopic circuit including Josephson junctions. Following Feynman's assumption, via the Hamilton dynamic approach and by virtue of the entangled state representation, it constructs Hamiltonian operator for the double-Josephson-junction mesoscopic circuit coupled by a capacitor. Then it uses the Heisenberg equation of motion to derive the induction voltage across each Josephson junction. The result manifestly shows how the voltage is affected by the capacitance coupling.

Key words: Josephson-junction, Cooper-pair, entangled state representation, phase squeezing

中图分类号: (Josephson devices)

85.25.Cp

84.32.Tt (Capacitors)

梁宝龙, 王继锁, 范洪义. Cooper-pair number-phase quantization analysis in double-Josephson-junction mesoscopic circuit coupled by a capacitor[J]. 中国物理B, 2008, 17(2): 697-701.

Liang Bao-Long(梁宝龙), Wang Ji-Suo(王继锁), and Fan Hong-Yi(范洪义) . Cooper-pair number-phase quantization analysis in double-Josephson-junction mesoscopic circuit coupled by a capacitor[J]. Chin. Phys. B, 2008, 17(2): 697-701.

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Cooper-pair number-phase quantization analysis in double-Josephson-junction mesoscopic circuit coupled by a capacitor

Cooper-pair number-phase quantization analysis in double-Josephson-junction mesoscopic circuit coupled by a capacitor

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