QUANTUM FLUCTUATIONS IN MESOSCOPIC RESISTANCE-INDUCTANCE-CAPACITANCE ELECTRIC CIRCUITS AT FINITE TEMPERATURE

顾永建

Pertti Juhani Hakonen

Xing-Lei Xu, Shi-Min Xu, Hongqi Li

Zhang Yuqiang, Shaohong Cai, Han Yue-Wu

Starting from Kirchhoff's equation for each mesoscopic coupled circuit, we investigated the quantum fluctuations of a dissipative mesoscopic capacitance–resistance–inductance coupled circuit using canonical transformation and unitary transformation. It is shown that the quantum fluctuations of charges and currents are not only related to the parameters of components in the self-circuit and coupled part, but also influenced by the parameters of other circuit. The uncertainty relations of the charges and currents are analyzed briefly.

Ji‐Suo Wang, Tang-Kun Liu, Mingsheng Zhan

Ji‐Suo Wang, HAN BAO-CUN, Sun Chang-Yong +1 more

Starting from the equation for the classical motion of a nondissipative mesoscopic capacitance coupled circuits with source,we have studied the quantum fluctuations of the charge and current in the eigenstate of the coupled circuits and in the squeezed vacuum state,respectively.The results show that the quantum fluctuations in the two circuits are correlated with each other.