The dynamics of the sub-Ohmic spin-boson model under polarized initial conditions at finite temperatures is investigated by employing both analytical tools and the numerically accurate hierarchical equations of motion-tensor train method. By analyzing the features of nonequilibrium dynamics, we discovered a bifurcation phenomenon, which separates two regimes of the dynamics. It is found that before the bifurcation time, increasing temperature slows down the population dynamics, while the opposite effect occurs after the bifurcation time. The dynamics is highly sensitive to both initial preparation of the bath and thermal effects.

中文翻译：

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极化亚欧姆热浴中的有限温度动力学：运动张量序列研究的分层方程

通过采用分析工具和运动张量序列方法的数值精确层次方程，研究了有限温度下极化初始条件下的亚欧姆自旋玻色子模型的动力学。通过分析非平衡动力学的特征，我们发现了一种分岔现象，它将动力学的两个状态分开。研究发现，在分岔时间之前，温度升高会减慢种群动态，而在分岔时间之后则出现相反的效果。动力学对浴的初始准备和热效应高度敏感。