Title: Dynamics of the spin-boson model: the effect of bath initial conditions Show Chinese title

Title: 自旋-玻色模型的动力学：浴初始条件的影响

Abstract: Dynamics of the (sub-)Ohmic spin-boson model under various bath initial conditions is investigated by employing the Dirac-Frenkel time-dependent variational approach with the multiple Davydov $\mathrm{D_1}$ ansatz in the interaction picture. The validity of our approach is carefully checked by comparing results with those of the hierarchy equations of motion method. By analyzing the features of nonequilibrium dynamics, we identify the phase diagrams for different bath initial conditions. We find that for spectral exponent $s<s_c$, there exists a transition from coherent to quasicoherent dynamics with increasing the coupling strengths. For $s_c<s\leq{1}$, the coherent to incoherent crossover occurs at a certain coupling strength, and the quasicoherent dynamics emerges at much larger couplings. The initial preparation of the bath has considerable influence on the dynamics. Show Chinese abstract

Abstract: 在采用相互作用图中的多个Davydov$\mathrm{D_1}$波函数变分方法的情况下，研究了在不同浴初始条件下(次-)Ohmic自旋-玻色模型的动力学行为。 我们的方法的有效性通过与运动方程层次方法的结果进行比较来仔细验证。 通过分析非平衡动力学的特征，我们确定了不同浴初始条件的相图。 我们发现，对于谱指数$s<s_c$，随着耦合强度的增加，存在从相干到准相干动力学的转变。 对于$s_c<s\leq{1}$，在一定的耦合强度下会发生从相干到非相干的转变，并且在更大的耦合强度下会出现准相干动力学。 浴的初始制备对动力学有显著影响。