Quantization and Squeezed State of Two L-C Circuits with Mutual-Inductance
FAN Hong-yi, PAN Xiao-yin
Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026
Quantization and Squeezed State of Two L-C Circuits with Mutual-Inductance
FAN Hong-yi;PAN Xiao-yin
Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026
关键词 ：
03.65.-w ,
84.20.+m ,
42.50.Dv
Abstract ： It is pointed out that the quantum mechanical Hamiltonian of two L-C circuits with mutual-inductance is equivalent to a pair of harmonic oscillators with a kinetic coupling term. We then diagonalize the Hamiltonian. It is shown that instantaneously switching on the external sources may result in a two-mode squeezed state of the system, which actually arises from the effect of mutual-inductance. The quantum fluctuation for the case of l1 c1 = l2 c2 is analysed and it is found that the current fluctuation in the circuits increases with the increment of the mutual-inductance.
Key words ：
03.65.-w
84.20.+m
42.50.Dv
出版日期: 1998-09-01
引用本文:
FAN Hong-yi;PAN Xiao-yin. Quantization and Squeezed State of Two L-C Circuits with Mutual-Inductance[J]. 中国物理快报, 1998, 15(9): 625-627.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y1998/V15/I9/625
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1998, Vol. 15 
