The evolution and two-mode squeezed states of the time-dependent two coupled harmonic oscillators
含时耦合谐振子系统的时间演化与双模压缩态

Keywords: time-dependent coupled harmonic oscillators,Lewis-Riesenfeld invariant theory,two-mode squeezed states
含时耦合谐振子系统,LewisRiesenfeld不变量理论,双模压缩态

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Abstract:

运用LewisRiesenfeld不变量理论,通过适当地选取厄米不变量,得到了含驱动项和双模耦合项的含时耦合谐振子系统薛定谔方程的封闭解,给出了系统的演化算符及其产生双模光场的压缩态的条件,并得出系统压缩态的量子涨落与驱动项无关但与系统所处的初态有关的结论.

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