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)
aSchool of Physical Science and Information Engineering,Liaocheng University, Liaocheng 252059, China; bDepartment of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China; cDepartment of Physics, Shanghai Jiaotong University, Shanghai 200030, China
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.
Received: 23 June 2007
Revised: 03 July 2007
Accepted manuscript online:
Fund: 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.
Cite this article:
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 2008 Chin. Phys. B 17 697
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
