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Modern Physics Letters B

Quantum fluctuations of mesoscopic RLC circuit with sources and time-dependant resistances

B. Neouioua, Farid Benamira, M.A. Benbitour

Published May 25, 2015• 0 citations
Publisher

Abstract

We discuss the quantization of two mesoscopic coupled RLC circuits with sources and a time-dependent resistances. We use unitary transformations to decouple the system and calculate the charge-current fluctuations for each loop. An adequate time-dependent form of resistances is used to simplify the quantum evolution of the system. We find that the charge-current fluctuations verify the Heisenberg principle and decrease when the time elapses.

DOI
10.1142/s0217984915500773

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We discuss the quantization of two mesoscopic coupled RLC circuits with sources and a time-dependent resistances. We use unitary transformations to decouple the system and calculate the charge-current fluctuations for each loop. An adequate time-dependent form of resistances is used to simplify the quantum evolution of the system. We find that the charge-current fluctuations verify the Heisenberg principle and decrease when the time elapses.
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