中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2462-2470.doi: 10.1088/1009-1963/16/8/051

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

徐兴磊1, 李洪奇1, 王继锁2   

  1. (1)Department of Physics, Heze University, Heze 274015, China;Key Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China; (2)Department of Physics, Liaocheng University, Liaocheng 252059, China
  • 收稿日期:2006-10-16 修回日期:2007-02-09 出版日期:2007-08-20 发布日期:2007-08-20
  • 基金资助:
    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

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)   

  1. 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
  • Received:2006-10-16 Revised:2007-02-09 Online:2007-08-20 Published:2007-08-20
  • Supported by:
    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

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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: mesoscopic double resonance RLC circuit, linear transformation, thermal excitation state, quantum fluctuation

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.

Key words: mesoscopic double resonance RLC circuit, linear transformation, thermal excitation state, quantum fluctuation

中图分类号:  (Circuit theory)

  • 84.30.Bv
84.30.Ng (Oscillators, pulse generators, and function generators)