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

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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.

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Authors and Affiliations

  1. Department of Physics, Heze University, Heze, Shandong, 274015, People’s Republic of China

    Xing-Lei Xu & Hong-Qi Li

  2. The Laboratory of Quantum Communication and Calculation, Heze University, Heze, Shandong, 274015, People’s Republic of China

    Xing-Lei Xu & Hong-Qi Li

  3. Department of Physics, Liaocheng University, Heze, Shandong, 252059, People’s Republic of China

    Ji-Suo Wang

Authors
  1. Xing-Lei Xu
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  2. Hong-Qi Li
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  3. Ji-Suo Wang
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Correspondence to Xing-Lei Xu.

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PACS numbers: 03.65.-w,42.50.Lc.

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Xu, XL., Li, HQ. & Wang, JS. The Quantum Fluctuations of Mesoscopic Damped Mutual Capacitance Coupled Double Resonance RLC Circuit in Excitation State of the Squeezed Vacuum State. Int J Theor Phys 45, 2471–2482 (2006). https://doi.org/10.1007/s10773-006-9215-z

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  • DOI: https://doi.org/10.1007/s10773-006-9215-z

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