We study the emission spectrum and quantum-state fidelity for an atomic system interacting with radiation fields of quantum systems described by power-law potentials. We consider a set of manifold fields that are characterizable by their level-energy differences. They include triangular, infinite, and harmonic potentials as special cases. We present the time evolution of the spectrum and fidelity for this class of potentials with respect to model parameters of the physical system. The results indicate that the spectrum and fidelity during the dynamics are highly sensitive to the value of the photon-transition number and exponent parameter.

中文翻译：

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具有能级差的场耦合的原子系统的发射光谱和保真度

我们研究了与幂律势描述的量子系统的辐射场相互作用的原子系统的发射光谱和量子态保真度。我们考虑一组流形场，这些流场可以通过它们的能级差异来表征。作为特殊情况，它们包括三角形，无限和谐波电位。对于物理系统的模型参数，我们介绍了这类电位的频谱和保真度的时间演化。结果表明，动力学过程中的光谱和保真度对光子跃迁数和指数参数的值高度敏感。