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Quantum fluctuations of mesoscopic damped double resonance RLC circuit with mutual capacitance-inductance coupling
作者姓名:徐兴磊  李洪奇  王继锁
作者单位:Department of Physics, Heze University, Heze 274015, China;Key Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China;Department of Physics, Heze University, Heze 274015, China;Key Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China;Department of Physics, Liaocheng University, Liaocheng 252059, China
基金项目:Project supported by the Natural Science Foundation of Heze University of Shandong Province, China (Grant No~XY05WL01), the University Experimental Technology Foundation of Shandong Province, China (Grant No~S04W138), the Natural Science Foundation of S
摘    要:Based on the scheme of damped harmonic oscillator quantization and thermo-field dynamics (TFD), the quantization of mesoscopic damped double resonance RLC circuit with mutual capacitance-inductance coupling is proposed. The quantum fluctuations of charge and current of each loop in a squeezed vacuum state are studied in the thermal excitation case. It is shown that the fluctuations not only depend on circuit inherent parameters, but also rely on excitation quantum number and squeezing parameter. Moreover, due to the finite environmental temperature and damped resistance, the fluctuations increase with the temperature rising, and decay with time.

关 键 词:RLC回路  线性转化  热量激励状态  量子
收稿时间:2006-10-16
修稿时间:2/9/2007 12:00:00 AM

Quantum fluctuations of mesoscopic damped double resonance RLC circuit with mutual capacitance--inductance coupling in thermal excitation state
Xu Xing-Lei,Li Hong-Qi and Wang Ji-Suo.Quantum fluctuations of mesoscopic damped double resonance RLC circuit with mutual capacitance-inductance coupling[J].Chinese Physics B,2007,16(8):2462-2470.
Authors:Xu Xing-Lei  Li Hong-Qi and Wang Ji-Suo
Institution:1.Department of Physics, Heze University, Heze 274015, China ;2.Key Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China ;3. Department of Physics, Liaocheng University, Liaocheng 252059, China
Abstract:Based on the scheme of damped harmonic oscillator quantization and thermo-field dynamics (TFD), the quantization of mesoscopic damped double resonance RLC circuit with mutual capacitance--inductance coupling is proposed. The quantum fluctuations of charge and current of each loop in a squeezed vacuum state are studied in the thermal excitation case. It is shown that the fluctuations not only depend on circuit inherent parameters, but also rely on excitation quantum number and squeezing parameter. Moreover, due to the finite environmental temperature and damped resistance, the fluctuations increase with the temperature rising, and decay with time.
Keywords:mesoscopic double resonance RLC circuit  linear transformation  thermal excitation state  quantum fluctuation
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