论文标题
在Bogolubov-Van Hove限制中引起的量子主方程的校正中的非扰动效应
Non-perturbative effects in corrections to quantum master equation arising in Bogolubov-van Hove limit
论文作者
论文摘要
我们研究了{Gorini-Kossakowski-Sudarshan-Lindblad方程，该方程在弱耦合极限}中。考虑在零温度下旋转波近似中的自旋 - 玻色子模型。我们表明，密度矩阵的扰动部分满足了扰动理论的任意顺序（如果储层相关函数的所有矩函数都是有限的）。但是，要长时间重现正确的渐近精度，应该使用与{初始条件不同}的精确动力学。此外，我们表明，在某些共振条件下，该主方程的初始条件甚至无法成为密度矩阵。
We study the perturbative corrections to the { Gorini-Kossakowski-Sudarshan-Lindblad equation which arises in the weak coupling limit}. The spin-boson model in the rotating wave approximation at zero temperature is considered. We show that the perturbative part of the density matrix satisfies the time-independent Gorini-Kossakowski-Sudarshan-Lindblad equation for arbitrary order of the perturbation theory (if all the moments of the reservoir correlation function are finite). But to reproduce the right asymptotic precision at long times, one should use { an initial condition different} from the one for exact dynamics. Moreover, we show that the initial condition for this master equation even fails to be a density matrix under certain resonance conditions.
