International Journal of Theoretical Physics
, Volume 45, Issue 12, pp 24712482
First online:
The Quantum Fluctuations of Mesoscopic Damped Mutual Capacitance Coupled Double Resonance RLC Circuit in Excitation State of the Squeezed Vacuum State
 XingLei XuAffiliated withDepartment of Physics, Heze UniversityThe Laboratory of Quantum Communication and Calculation, Heze University Email author
 , HongQi LiAffiliated withDepartment of Physics, Heze UniversityThe Laboratory of Quantum Communication and Calculation, Heze University
 , JiSuo WangAffiliated withDepartment of Physics, Liaocheng University
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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 Title
 The Quantum Fluctuations of Mesoscopic Damped Mutual Capacitance Coupled Double Resonance RLC Circuit in Excitation State of the Squeezed Vacuum State
 Journal

International Journal of Theoretical Physics
Volume 45, Issue 12 , pp 24712482
 Cover Date
 200612
 DOI
 10.1007/s107730069215z
 Print ISSN
 00207748
 Online ISSN
 15729575
 Publisher
 Kluwer Academic PublishersPlenum Publishers
 Additional Links
 Topics
 Keywords

 mesoscopic circuit
 damped double resonance RLC circuit
 unitary transformation
 quantum fluctuation
 Industry Sectors
 Authors

 XingLei Xu ^{(1)} ^{(2)}
 HongQi Li ^{(1)} ^{(2)}
 JiSuo Wang ^{(3)}
 Author Affiliations

 1. Department of Physics, Heze University, Heze, Shandong, 274015, People’s Republic of China
 2. The Laboratory of Quantum Communication and Calculation, Heze University, Heze, Shandong, 274015, People’s Republic of China
 3. Department of Physics, Liaocheng University, Heze, Shandong, 252059, People’s Republic of China