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Journal of Jinggangshan University

Preparation of superposition state of coherent state via a nonlinear mesoscopic circuit

Song Hong-lian

Published Jan 1, 2009• 0 citations
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Abstract

In this paper,the nonlinear mesoscopic circuit in the presence of a power was treated quantummechanically.The results indicated that the quantum state of the nonlinear mesoscopic circuit will been evolved into the superposition state of coherent state from the initial vacuum state due to the nonlinear bidirectional diode device and the external electrical source.Then we brought forward a preparation method of superposition state of coherent state in the nonlinear mesoscopic circuit.

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Journal of Hebei University•Jan 1, 2010•0 citations
In this paper,the nonlinear mesoscopic circuit in the presence of a power was treated quantummechanically.The results indicated that the quantum state of the nonlinear mesoscopic circuit will been evolved into the superposition state of coherent state from the initial vacuum state due to the nonlinear bidirectional diode device and the external electrical source.Then we brought forward a preparation method of superposition state of coherent state in the nonlinear mesoscopic circuit.
The mesoscopic nonlinear inductance-capacitance circuit is a typical anharmonic oscillator, due to diodes included in the circuit. In this paper, using the advanced quantum theory of mesoscopic circuits, which based on the fundamental fact that the electric charge takes discrete value, the diode included mesoscopic circuit is firstly studied. Schrödinger equation of the system is a four-order difference equation in representation. Using the extended perturbative method, the detail energy spectrum and wave functions are obtained and verified, as an application of the results, the current quantum fluctuation in the ground state is calculated. Diode is a basis component in a circuit, its quantization would popularize the quantum theory of mesoscopic circuits. The methods to solve the high order difference equation are helpful to the application of mesoscopic quantum theory.
For the improvement of quantum theory of mesoscopic circuits,the finite-difference Schrdinger equation of a diode included nonlinear mesoscopic circuit is achieved in the framework of advanced quantum theory of mesoscopic circuits,which based on the fundamental fact that the electric charge takes discrete value,it is a four-order difference equation in p^ representation.Using the perturbation method,the detail energy spectrum and wave functions are obtained,as an application of the results,the current quantum fluctuation is calculated.