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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 |
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| Cite this article: |
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FAN Hong-yi, PAN Xiao-yin 1998 Chin. Phys. Lett. 15 625-627 |
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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 l1c1 = l2c2 is analysed and it is found that the current fluctuation in the circuits increases with the increment of the mutual-inductance.
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| Keywords:
03.65.-w
84.20.+m
42.50.Dv
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Published: 01 September 1998
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