Mesoscopic damped mutual capacitance coupled double resonance circuit is quantized by the method of damped harmonic oscillator quantization. Hamiltonian is diagonalized by the method of unitary transformation. The ene...Mesoscopic damped mutual capacitance coupled double resonance circuit is quantized by the method of damped harmonic oscillator quantization. Hamiltonian is diagonalized by the method of unitary transformation. The energy spectra of this circuit are given. The quantum fluctuations of the charge and current of each loop are investigated by the method of thermo- field dynamics (TFD) in thermal excitation state,thermal squeezed vacuum state, thermal vacuum state and vacuum state. It is shown 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 and environmental temperature. And the quantum fluctuations increase with the increase of temperature and decay with time.展开更多
The coherent-intermediate-entangled state|α,x〉_(λ,v)is proposed in the two-mode Fock Space,which exhibitsboth the properties of the coherent and entangled states.The|α,x〉_(λ,v)makes up a new quantum mechanical r...The coherent-intermediate-entangled state|α,x〉_(λ,v)is proposed in the two-mode Fock Space,which exhibitsboth the properties of the coherent and entangled states.The|α,x〉_(λ,v)makes up a new quantum mechanical representation,and the completeness relation of|a,x〉_(λ,v)is proved by virtue of the technique of integral within an orderedproduct of operators.The corresponding squeezing operators are derived.Furthermore,Generalized P-representation isconstructed in the coherent-intermediate-entangled state|α,x)_(λ,v),and the Schmidt decomposition of |a,x)_(λ,v)is investigated.展开更多
基金the Natural Science Foundation of Heze University ofShandong Province, China (No.XY05WL01) and the UniversityExperimental Technology Foundation of Shandong Province, China(No.S04W138)
文摘Mesoscopic damped mutual capacitance coupled double resonance circuit is quantized by the method of damped harmonic oscillator quantization. Hamiltonian is diagonalized by the method of unitary transformation. The energy spectra of this circuit are given. The quantum fluctuations of the charge and current of each loop are investigated by the method of thermo- field dynamics (TFD) in thermal excitation state,thermal squeezed vacuum state, thermal vacuum state and vacuum state. It is shown 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 and environmental temperature. And the quantum fluctuations increase with the increase of temperature and decay with time.
基金The project supported by the Natural Science Foundation of Heze University of Shandong Province of China under Grant Nos.XY07WL01 and XY05WL01the University Experimental Technology Foundation of Shandong Province of China under Grant No.S04W138
基金＊Supported by the National Natural Science Foundation of China under Grant No. 10775097, and the Natural Science Foundation of Heze University of Shandong Province, under Crant No. XY07WL01
基金the Natural Science Foundation of Heze University of Shandong Province of China under Grant Nos.XY07WL01 and XY05WL01the University Experimental Technology Foundation of Shandong Province of China under Grant No.S04W138
基金supported by the Natural Science Foundation of Heze Universityof Shandong Province of China under Grant Nos.XY07WL01 and XY08WL03the University Experimental Technology Foundation of Shandong Province under Grant No.S04W138+1 种基金the Natural Science Foundation of Shandong Province under Grant No.Y2008A16the National Natural Science Foundation of China under Grant No.10574060
基金Supported by the Natural Science Foundation of Heze University of Shandong Province under Grant No.XY07WL01the University Experimental Technology Foundation of Shandong Province under Grant No.S04W138the Natural Science Foundation of Shandong Province of China under Grant No.Y2008A16
文摘The coherent-intermediate-entangled state|α,x〉_(λ,v)is proposed in the two-mode Fock Space,which exhibitsboth the properties of the coherent and entangled states.The|α,x〉_(λ,v)makes up a new quantum mechanical representation,and the completeness relation of|a,x〉_(λ,v)is proved by virtue of the technique of integral within an orderedproduct of operators.The corresponding squeezing operators are derived.Furthermore,Generalized P-representation isconstructed in the coherent-intermediate-entangled state|α,x)_(λ,v),and the Schmidt decomposition of |a,x)_(λ,v)is investigated.
