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Chinese Physics, 2007, Vol. 16(8): 2462-2470    DOI: 10.1088/1009-1963/16/8/051
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

Quantum fluctuations of mesoscopic damped double resonance RLC circuit with mutual capacitance--inductance coupling in thermal excitation state

Xu Xing-Lei(徐兴磊)a)b)† , Li Hong-Qi (李洪奇)a)b), and Wang Ji-Suo(王继锁)c)
a Department of Physics, Heze University, Heze 274015, Chinab Key Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China; c 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  
Received:  16 October 2006      Revised:  09 February 2007      Accepted manuscript online: 
PACS:  84.30.Bv (Circuit theory)  
  84.30.Ng (Oscillators, pulse generators, and function generators)  
Fund: 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

Cite this article: 

Xu Xing-Lei(徐兴磊), Li Hong-Qi (李洪奇), and Wang Ji-Suo(王继锁) Quantum fluctuations of mesoscopic damped double resonance RLC circuit with mutual capacitance--inductance coupling in thermal excitation state 2007 Chinese Physics 16 2462

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