中国物理B ›› 2010, Vol. 19 ›› Issue (3): 34206-034206.doi: 10.1088/1674-1056/19/3/034206

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Quantum fluctuation in excited states of mesoscopic LC circuits at finite temperature

王继锁, 范洪义, 孟祥国   

  1. Department of Physics, Liaocheng University, Shandong 252059, China
  • 收稿日期:2009-02-25 修回日期:2009-07-30 出版日期:2010-03-15 发布日期:2010-03-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10574060 and 10775097), the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A23) and the Shandong Province Higher Educational Science and Technology Program (Grant No. J09LA07).

Quantum fluctuation in excited states of mesoscopic LC circuits at finite temperature

Wang Ji-Suo(王继锁)†, Fan Hong-Yi(范洪义), and Meng Xiang-Guo(孟祥国)   

  1. Department of Physics, Liaocheng University, Shandong 252059, China
  • Received:2009-02-25 Revised:2009-07-30 Online:2010-03-15 Published:2010-03-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10574060 and 10775097), the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A23) and the Shandong Province Higher Educational Science and Technology Program (Grant No. J09LA07).

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摘要： We discuss quantum fluctuation in excited states (named thermo number states) of mesoscopic LC circuits at a finite temperature. By introducing the coherent thermo state into the thermo field dynamics pioneered by Umezawa and using the natural representation of thermo squeezing operator we can concisely derive the fluctuation. The result shows that the noise becomes larger when either temperature or the excitation number increases.

Abstract: We discuss quantum fluctuation in excited states (named thermo number states) of mesoscopic LC circuits at a finite temperature. By introducing the coherent thermo state into the thermo field dynamics pioneered by Umezawa and using the natural representation of thermo squeezing operator we can concisely derive the fluctuation. The result shows that the noise becomes larger when either temperature or the excitation number increases.

Key words: quantization of LC circuits at finite temperature, coherent thermo state representation, thermo number state, thermo field dynamics

中图分类号:  (Quantum fluctuations, quantum noise, and quantum jumps)

  • 42.50.Lc
42.50.Dv (Quantum state engineering and measurements)