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Journal of Optoelectronics·laser

Quantum Fluctuation of Mesoscopic Circuit in Excited Squeezed Vacuum State

Zhan You

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

A quantization scheme for an LC circuit a source was proposed and the fluctuations of the charge and the magnetic flux of the circuit in excited squeezed vacuum state are studied by using the complete quantum theory.It is shown that the quantum fluctuations of both charge and magnetic flux in the circuit are relation to both not only the circuit component and the squeezed parameter but also the degree of excitation of the quantum state.

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A quantization scheme for an LC circuit a source was proposed and the fluctuations of the charge and the magnetic flux of the circuit in excited squeezed vacuum state are studied by using the complete quantum theory.It is shown that the quantum fluctuations of both charge and magnetic flux in the circuit are relation to both not only the circuit component and the squeezed parameter but also the degree of excitation of the quantum state.
Starting with the Lagrange of circuit system and using number-phase quantization scheme,mesoscopic LC circuit is quantized and the Hamiltonian expressed by charge number operator and the phase-difference operator is obtained.The quantum fluctuations of both charge number and phase-difference are researched in both vacuum state and squeezed vacuum state.The results show that the quantum fluctuations only relate to the parameters of circuit system in vacuum state,but in the squeezed vacuum state,the quantum fluctuations relate to not only the parameters of circuit system,but also the squeezing parameter.
We study the quantum effects of a damped LC parallel circuit considering its different performance from an RLC series circuit in classical physics. The damped LC parallel circuit with a source is quantized and the quantum fluctuations of magnetic flux and electric charge in the circuit in displaced squeezed Fock state are investigated. It is shown that, as in the RLC series circuit, the fluctuations only depend on the squeezing parameter and the parameters of the circuit components in the damped LC parallel circuit, but the effects of the circuit components on the fluctuations are different in the two circuits.