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Modified Josephson equations for the mesoscopic LC circuit including two coupled Josephson junctions*

Xiang-Guo Meng, Ji-Suo Wang and Bao-Long Liang

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Based on the entangled state representation and Feynman's idea that 'electron pairs are bosons, ..., a bound pair acts as a Bose particle', we present a cooper-pair number-phase quantization scheme for the mesoscopic LC circuit including two coupled Josephson junctions (JJs). Then we use the Heisenberg equation of motion to obtain the modified current equation and voltage equation across each JJ, as well as the equation for realizing quantum control. Besides, we investigate how the phases in two JJs are affected mutually through the capacitor coupling and the coupled JJs.


Footnote
*  Work supported by the National Natural Science Foundation of China under Grant 10574060 and the Natural Science Foundation of Liaocheng University under Grant X071049.
PACS

85.25.Cp Josephson devices

03.67.Lx Quantum computation architectures and implementations

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

03.67.Mn Entanglement measures, witnesses, and other characterizations

MSC

70H05 Hamilton's equations

81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)

81S10 Geometry and quantization, symplectic methods (See also 53D50)

Subjects

Superconductivity

Computational physics

Quantum information and quantum mechanics

Dates

Issue 23 (13 June 2008)

Received 4 February 2008, in final form 21 April 2008

Published 19 May 2008



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