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Jiangxi kexue

The Influence of Capacitor's Coupling Effects to Mesoscopic LC Electric Circuit

Ruan Wen, Lei Min-Sheng

Published Jan 1, 2004• 0 citations
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Abstract

According to the fact that the a mesoscopic capacitor can be regarded as a mesoscopic junction, we put forward that electric wave function which transits capacitor's two electrodes may exist mutual coupling. Thus we give an approach of mesoscopic LC circuit's quantization and discuss the influence of capacitor's coupling effects to the quantum fluctuation of mesoscopic LC circuit.

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According to the fact that the a mesoscopic capacitor can be regarded as a mesoscopic junction, we put forward that electric wave function which transits capacitor's two electrodes may exist mutual coupling. Thus we give an approach of mesoscopic LC circuit's quantization and discuss the influence of capacitor's coupling effects to the quantum fluctuation of mesoscopic LC circuit.
Based on the fact that a mesoscopic capacitor can be regarded as a mesoscopic tunnel junction, we quantized the mesoscopic LC circuit by using the rotating -wave approximation.The study shows: Considering the coupled energy of the meso scopic capacitor, the system of the mesoscopic LC circuit will be equivalent to a Kerr system. We also used the thermal field dynamic theory to investigate the thermal Kerr state at a definite temperature and calculated the quantum fluc tuation of both charge and magnetic flux, and discussed the results.
A mesoscopic parallel LC circuit model with double dissipative branch circuits is put forward according to the actual situation of the circuit.It is quantized with the theory of the classical circuit and the quantization method of damped harmonic oscillator.Then the quantum fluctuations of the voltage and the current of the circuit in vacuum state and the quantum fluctuations affected by the dissipative resistances are discussed.The results show that the quantum fluctuations of the voltage and the current of both branches are not only related with the parameters of the LC circuit components,but also affected by the dissipative resistances.They decay with the same exponential with time.The coefficients of the quantum fluctuations of the current are the same,while those of the voltage are different.When the two dissipative resistances are equal,the quantum fluctuations of the voltage and the current of both branches take on the same behavior respectively.