Quantum Fluctuations of a Mesoscopic Capacitance Coupled Circuit with Power Source
ZHANG Shou1,2, ZHAO Yong-Fang2, JING Xiao-Gong2, QIAN Zheng-Nan2, SU Wen-Hui2
1Department of Physics, College of Science and Engineering, Yanbian University, Yanji 133002
2Center for Condensed-Matter Science and Technology, Harbin Institute of Technology, Harbin 150001
Quantum Fluctuations of a Mesoscopic Capacitance Coupled Circuit with Power Source
1Department of Physics, College of Science and Engineering, Yanbian University, Yanji 133002
2Center for Condensed-Matter Science and Technology, Harbin Institute of Technology, Harbin 150001
Abstract: Starting from classical equations of motion of the charges, we obtain the quantum fluctuations of the charges, and the currents of a mesoscopic capacitance coupled circuit with power source by using a canonical transformation and a unitary transformation. The uncertainty relations between charges and conjugate currents do not satisfy the minimum uncertainty relation, and is independent of the power source.