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The Quantum Fluctuations of Mesoscopic Complicated Coupling Circuit in the Squeezed Vacuum State

WU Qing

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

Mesoscopic complicated coupling circuit is quantized,and Hamiltonian is diagonalized by unitary transformation.The quantum fluctuations of the charge and current of each loop in the squeezed vacuum state and vacuum state are researched.The results show that quantum fluctuations are related to not only circuit device parameter,squeezed coefficients and squeezed angle,but also coupled magnitude of mutual inductance、capacitance and inductance.

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Mesoscopic complicated coupling circuit is quantized,and Hamiltonian is diagonalized by unitary transformation.The quantum fluctuations of the charge and current of each loop in the squeezed vacuum state and vacuum state are researched.The results show that quantum fluctuations are related to not only circuit device parameter,squeezed coefficients and squeezed angle,but also coupled magnitude of mutual inductance、capacitance and inductance.
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Mesoscopic double resonance mutual inductance and capacitance coupling circuit is quantized by the method of harmonic oscillator quantization linear transformation.The energy spectra of this circuit are given.The quantum fluctuations of the charge and current of each loop are researched by the method of thermo-field dynamics(TFD) in thermal excited state,thermal squeezed vacuum state,thermal vacuum state and vacuum state.It is show that,the quantum fluctuations of the charge and current are related to not only circuit inherent parameter and coupled magnitude,but also quantum number of excitation,squeezed coefficients,squeezed angle,environmental temperature.And,the quantum fluctuations increase with the increase of temperature.
Starting from the classical motion equation of a non\|dissipative mesoscopic inductance coupled circuit with source, it investigates the fluctuations of the charge and current in the mesoscopic inductance coupled circuit at the squeezed vacuum state, and study especially the influences of the squeezed angle on the fluctuations. The results indicate if the system is in the squeezing vacuum state, the quantum fluctuations of both circuits are related reciprocally but the fluctuations are independent with the source.Also,the squeezed effect of the charge and current is depended on the squeezing parameter γ and the squeezing angle θ as well. Moreover, the fluctuation of the charge and current does not monotonously decrease in an arbitrary squeezed angle θ , instead of has a minimum. [