Article

International Journal of Theoretical Physics

, Volume 45, Issue 12, pp 2471-2482

First online:

The Quantum Fluctuations of Mesoscopic Damped Mutual Capacitance Coupled Double Resonance RLC Circuit in Excitation State of the Squeezed Vacuum State

  • Xing-Lei XuAffiliated withDepartment of Physics, Heze UniversityThe Laboratory of Quantum Communication and Calculation, Heze University Email author 
  • , Hong-Qi LiAffiliated withDepartment of Physics, Heze UniversityThe Laboratory of Quantum Communication and Calculation, Heze University
  • , Ji-Suo WangAffiliated withDepartment of Physics, Liaocheng University

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Abstract

Mesoscopic damped double resonance mutual capacitance coupled RLC circuit is quantized by the method of damped harmonic oscillator quantization. The Hamiltonian is diagonalized by unitary transformation. The eigenenergy spectra of this circuit are given. The quantum fluctuations of the charges and current of each loop are researched in excitation state of the squeezed vacuum state, the squeezed vacuum state and in vacuum state. It is show that, the quantum fluctuations of the charges and current are related to not only circuit inherent parameter and coupled magnitude, but also quantum number of excitation, squeezed coefficients, squeezed angle and damped resistance. And, because of damped resistance, the quantum fluctuation decay along with time.

Keywords

mesoscopic circuit damped double resonance RLC circuit unitary transformation quantum fluctuation