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Ha'erbin gongye daxue xuebao

Quantum fluctuations in capacitive coupled electric circuits at finite temperature

Bing Yuan

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

Using the thermal field dynamics, the quantum fluctuations in the capacitive coupled electric circuits at finite temperature are calculated. At zero temperature, the eigenstates of the capacitive coupled electric circuit are the displaced Fock states. At finite temperature, the states become the thermal displaced Foek states. The results show that, in the coupling part of the circuit, which is not studied in former discussions, capacitance coupling reduces the quantum fluctuation of the electric charge and increase that of the electric current.

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Using the thermal field dynamics, the quantum fluctuations in the capacitive coupled electric circuits at finite temperature are calculated. At zero temperature, the eigenstates of the capacitive coupled electric circuit are the displaced Fock states. At finite temperature, the states become the thermal displaced Foek states. The results show that, in the coupling part of the circuit, which is not studied in former discussions, capacitance coupling reduces the quantum fluctuation of the electric charge and increase that of the electric current.
For different states of the mesoscopic capacitive coupled electric circuit, reduction of quantum fluctuations induced by the coupling was studied. If the coupled circuit is at its ground state, or initially the system is decoupled, quantum fluctuations of the electric charge everywhere can be reduced, but that of the electric current can not. If initially the coupling part is open, quantum fluctuations of the current in the component circuits can not be squeezed; but quantum fluctuations of the current in the coupling part and quantum fluctuations of the charge everywhere can be reduced.
By extending the thermal field dynamics to the time dependent system, quantum fluctuations of the time dependent mesoscopic LC electric circuit at finite temperature were studied. While the up going temperature will increase the quantum fluctuations, time changes of the physical quantities such as the inductance and capacitance can suppress the quantum fluctuations. The electric source will not affect the quantum fluctuations, but will contribute to the averages of the charge and magnetic flux. It was also found that if there is a source, the averages will depend on the temperature; if there is no source, the averages will be zero and so temperature independent.