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Acta Sinica Quantum Optica

Quantum Fluctuation in Mesoscopic RLC Circuit

Shou Zhang

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

WT5BZ]The damped harmonic Hamiltonian is infered from harmonic Hamiltonian, by introducing the canonical transformation. And the quantum fluctuation of charge and current in the mesoscopic circuit in squeezed states are strdied, too. [WT5HZ]

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Using the path integral method we derive quantum wave function and quantum fluctuations of charge and current in the mesoscopic RLC circuit. We find that the quantum fluctuation of charge decreases with time, oppositely, the quantum fluctuation of current increases with time monotonously. Therefore there is a squeezing effect in the circuit. If some more charge devices are used in the mesoscopic-damped circuit, the quantum noise can be reduced. We also find that uncertainty relation of charge and current periodically varies with the period π/2 in the under-damped case.
Using the path integral method we derive quantum wave function and quantum fluctuations of charge andcurrent in the mesoscopic RLC circuit. We find that the quantum fluctuation of charge decreases with time, oppositely,the quantum fluctuation of current increases with time monotonously. Therefore there is a squeezing effect in the circuit.If some more charge devices are used in the mesoscopic-damped circuit, the quantum noise can be reduced. We also findthat uncertainty relation of charge and current periodically varies with the period π/2 in the under-damped case.