中国物理B ›› 2004, Vol. 13 ›› Issue (10): 1766-1769.doi: 10.1088/1009-1963/13/10/034

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Quantum fluctuation of mesoscopic distributed parameter circuits

罗海梅, 刘刚, 徐林, 嵇英华   

  1. Department of Physics, Jiangxi Normal University, Nanchang 330027, China; Key Laboratory of Optoelectronics and Telecommunication of Jiangxi Province, Nanchang 330027, China
  • 收稿日期:2004-01-09 修回日期:2004-03-10 出版日期:2004-10-20 发布日期:2005-06-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Jiangxi Province, China (Grant No 0312019). and by the Youth Science Foundation of Jiangxi Normal University (Grant No. 975).

Quantum fluctuation of mesoscopic distributed parameter circuits

Luo Hai-Mei (罗海梅)ab, Liu Gang (刘刚)ab, Xu Lin (徐林)ab, Ji Ying-Hua (嵇英华)ab   

  1. a Department of Physics, Jiangxi Normal University, Nanchang 330027, China; b Key Laboratory of Optoelectronics and Telecommunication of Jiangxi Province, Nanchang 330027, China
  • Received:2004-01-09 Revised:2004-03-10 Online:2004-10-20 Published:2005-06-20
  • Supported by:
    Project supported by the Natural Science Foundation of Jiangxi Province, China (Grant No 0312019). and by the Youth Science Foundation of Jiangxi Normal University (Grant No. 975).

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摘要： Under the Born－von-Karmann periodic boundary condition, we propose a quantization scheme for a non-dissipative distributed parameter circuit (a uniform transmission line). Quantum fluctuations of charge and current in the vacuum state are investigated by adopting the canonical transformation and unitary transformation method. Our results indicate that in distributed parameter circuits, quantum fluctuations, which also have distributed properties, are related to both the circuit parameters and the positions and the mode of signals.

关键词: mesoscopic distributed parameter circuit, quantization, quantum fluctuation

Abstract: Under the Born－von-Karmann periodic boundary condition, we propose a quantization scheme for a non-dissipative distributed parameter circuit (a uniform transmission line). Quantum fluctuations of charge and current in the vacuum state are investigated by adopting the canonical transformation and unitary transformation method. Our results indicate that in distributed parameter circuits, quantum fluctuations, which also have distributed properties, are related to both the circuit parameters and the positions and the mode of signals.

Key words: mesoscopic distributed parameter circuit, quantization, quantum fluctuation

中图分类号:  (Quantum mechanics)

  • 03.65.-w
73.23.-b (Electronic transport in mesoscopic systems)