Quantum Fluctuations of a Mesoscopic Capacitance Coupling Circuits in a Displaced Squeezed Fock State

Wang, Jian‐Sheng; Liu, TK; Zhan, Zhan

doi:10.7498/aps.49.2271

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Hamiltonian Of the Coupled Electric Circuit1

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Cited by 8 publications

(2 citation statements)

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“…For a capacitive coupled electric circuit with timeindependent inductance and capacitance, the classical equations of motion are [17] L…”

Section: Hamiltonian Of the Coupled Electric Circuitmentioning

confidence: 99%

Nonzero Temperature Squeezing of the Time-Dependent Harmonic Oscillator and the Applications to the Capacitive Coupled Electric Circuit

Liang

Yuan

2002

Commun. Theor. Phys.

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“…For a capacitive coupled electric circuit with timeindependent inductance and capacitance, the classical equations of motion are [17] L…”

Section: Hamiltonian Of the Coupled Electric Circuitmentioning

confidence: 99%

Nonzero Temperature Squeezing of the Time-Dependent Harmonic Oscillator and the Applications to the Capacitive Coupled Electric Circuit

Liang

Yuan

2002

Commun. Theor. Phys.

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“…2 E j is absorbed into λ. Taking Ĥ′ in the interac-accompanies the variation of number of Cooper pairs, both in the first island and in the second island.…”

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confidence: 99%

Cooper-pair number-phase quantization analysis in double-Josephson-junction mesoscopic circuit coupled by a capacitor

2008

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This paper examines the quantization of mesoscopic circuit including Josephson junctions. Following Feynman's assumption, via the Hamilton dynamic approach and by virtue of the entangled state representation, it constructs Hamiltonian operator for the double-Josephson-junction mesoscopic circuit coupled by a capacitor. Then it uses the Heisenberg equation of motion to derive the induction voltage across each Josephson junction. The result manifestly shows how the voltage is affected by the capacitance coupling.

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Number-Phase Quantization Scheme and the Quantum Effects of a Mesoscopic Electric Circuit at Finite Temperature

Wang

2008

Int J Theor Phys

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For L-C circuit, a new quantized scheme has been proposed in the context of number-phase quantization. In this quantization scheme, the number n of the electric charge q(q = en) is quantized as the charge number operator and the phase difference θ across the capacity is quantized as phase operator. Based on the scheme of number-phase quantization and the thermo field dynamics (TFD), the quantum fluctuations of the charge number and phase difference of a mesoscopic L-C circuit in the thermal vacuum state, the thermal coherent state and the thermal squeezed state have been studied. It is shown that these quantum fluctuations of the charge number and phase difference are related to not only the parameters of circuit, the squeezing parameter, but also the temperature in these quantum states. It is proven that the number-phase quantization scheme is very useful to tackle with quantization of some mesoscopic electric circuits and the quantum effects.

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Quantum Fluctuations of a Mesoscopic Capacitance Coupling Circuits in a Displaced Squeezed Fock State

Cited by 8 publications

References 0 publications

Nonzero Temperature Squeezing of the Time-Dependent Harmonic Oscillator and the Applications to the Capacitive Coupled Electric Circuit

Nonzero Temperature Squeezing of the Time-Dependent Harmonic Oscillator and the Applications to the Capacitive Coupled Electric Circuit

Cooper-pair number-phase quantization analysis in double-Josephson-junction mesoscopic circuit coupled by a capacitor

Number-Phase Quantization Scheme and the Quantum Effects of a Mesoscopic Electric Circuit at Finite Temperature

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