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.
Received: 16 October 2006
Revised: 09 February 2007
Accepted manuscript online:
(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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