时变源作用下介观ＬＣ电路系统量子态的演化

摘要/Abstract

摘要：

采用Wei-Norman方法，求出含时变电压源的介观LC电路随时间演化的精确解，应用wigner函数研究了时变电源作用下介观LC电路相干态的量子特性，结果表明wigner函数是一个二维运动的Gauss波包。研究了时变电源在不同频率的正弦信号对系统量子态的影响，结果表明，当所加正弦信号的频率远离共振频率信号时，对介观LC电路没有影响；当所加信号的频率为共振频率时，系统由低能态向高能跃迁，使处于高能态的几率增大；研究了输入电压源为单矩形脉冲的特例。

关键词: LC回路, 介观电路, 相干态, 量子态演化, wigner函数

Abstract:

The exact solution of time evolution is obtained by applying the Wei-Norman method. The wigner function is used to investigated the quantum state of the mesoscopic LC circuit .The result showed that the wigner function of the system is the motional gauss wave- packet of two dimension. We also study the effect of quantum state on the circuit which is driven by sine and pulse signal. There are no effects on system when the frequency is off resonance. The transition between high energy level and low energy level happened and the probability of high energy level increased when the frequency is on resonance. The special example in which the circuit is driven by single rectangle pulse is investigated.

Key words: LC circuit, mesoscopic circuit, coherent states, evolution of quantum state, Wigner function

夏小建. 时变源作用下介观ＬＣ电路系统量子态的演化[J]. J4, 2009, 26(6): 694-697.

XIA Xiao-Jian. Evolution of quantum state in the mesoscopic LC circuit driven by a time dependent source[J]. J4, 2009, 26(6): 694-697.

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