论文标题

旋转玻色子模型的动力学:浴室初始条件的影响

Dynamics of the spin-boson model: the effect of bath initial conditions

论文作者

Chen, Lipeng, Yan, Yiying, Gelin, Maxim F., Lü, Zhiguo

论文摘要

通过使用多个davydov $ \ mathrm {d_1} $ ansatz在相互作用图片中使用dirac-frenkel时间依赖的变异方法来研究(子)欧姆自旋 - 玻色子模型在各种浴缸初始条件下的动力学。通过将结果与运动方法的层次结构方程进行比较,仔细检查了我们方法的有效性。通过分析非平衡动力学的特征,我们确定了不同浴室初始条件的相图。我们发现,对于频谱指数$ s <s_c $,从相干到准晶格动力学的过渡,随着耦合强度的提高。对于$ s_c <s \ leq {1} $,与不连贯的交叉相干发生在一定的耦合强度上,而准式动力学出现在更大的耦合处。浴室的初始制备对动力学有很大影响。

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.

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