Cooper-Pair Number-Phase Quantization for a Mesoscopic LC Circuit Including a Josephson Junction
LIANG Bao-Long1, WANG Ji-Suo1, FAN Hong-Yi2,3
1School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 2520592Department of Material Science and Engineering, University of Science and Technology of China, Hefei 2300263Department of Physics, Shanghai Jiao Tong University, Shanghai 200030
Cooper-Pair Number-Phase Quantization for a Mesoscopic LC Circuit Including a Josephson Junction
LIANG Bao-Long1;WANG Ji-Suo1;FAN Hong-Yi2,3
1School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 2520592Department of Material Science and Engineering, University of Science and Technology of China, Hefei 2300263Department of Physics, Shanghai Jiao Tong University, Shanghai 200030
摘要By introducing the entangled state representation and Feynman assumption that `electron pairs are bosons, ..., a bound pair acts as a Bose particle', we construct an operator Hamiltonian for a mesoscopic inductance-capacitance (LC) circuit including a Josephson junction, then we use the Heisenberg equation of motion to derive the current equation and the voltage equation across the inductance as well as across the Josephson junction. The result manifestly shows how the junction voltage is affected by the capacitance coupling. In this way the Cooper-pair number-phase quantization for this system is completed.
Abstract：By introducing the entangled state representation and Feynman assumption that `electron pairs are bosons, ..., a bound pair acts as a Bose particle', we construct an operator Hamiltonian for a mesoscopic inductance-capacitance (LC) circuit including a Josephson junction, then we use the Heisenberg equation of motion to derive the current equation and the voltage equation across the inductance as well as across the Josephson junction. The result manifestly shows how the junction voltage is affected by the capacitance coupling. In this way the Cooper-pair number-phase quantization for this system is completed.
LIANG Bao-Long;WANG Ji-Suo;FAN Hong-Yi;. Cooper-Pair Number-Phase Quantization for a Mesoscopic LC Circuit Including a Josephson Junction[J]. 中国物理快报, 2007, 24(11): 3241-3244.
LIANG Bao-Long, WANG Ji-Suo, FAN Hong-Yi,. Cooper-Pair Number-Phase Quantization for a Mesoscopic LC Circuit Including a Josephson Junction. Chin. Phys. Lett., 2007, 24(11): 3241-3244.
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2007, Vol. 24 
