Time-dependent coherent states for a time-dependent harmonic oscillator are constructed in the framework of algebraic dynamics. These coherent states are gauge-covariant, and its time evolution is governed only by the solutions of a linear differential equation which describes the motion of the corresponding classical timedependent harmonic oscillator. Its non-classical and quantum statistical properties can thus be controlled by a proper choice of the frequency of the harmonic oscillator. Our coherent states reduce to Glauber coherent states in the case as the frequency is independent of time.

中文翻译：

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时变谐波振荡器的相干态量规协变构造的代数动力学方法

在代数动力学框架内构造了与时间相关的谐波振荡器的与时间相关的相干状态。这些相干状态是规范协变的，并且其时间演化仅由线性微分方程的解来控制，该线性微分方程描述了相应的经典时变谐波振荡器的运动。其非经典和量子统计性质因此可以通过谐波振荡器的频率的适当选择来控制。在这种情况下，由于频率与时间无关，因此我们的相干态简化为Glauber相干态。