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
a Department of Physics, Jiangxi Normal University, Nanchang 330027, China; b Key Laboratory of Optoelectronics and Telecommunication of Jiangxi Province, Nanchang 330027, China
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.
Received: 09 January 2004
Revised: 10 March 2004
Accepted manuscript online:
Fund: 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).
Cite this article:
Luo Hai-Mei (罗海梅), Liu Gang (刘刚), Xu Lin (徐林), Ji Ying-Hua (嵇英华) Quantum fluctuation of mesoscopic distributed parameter circuits 2004 Chinese Physics 13 1766
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