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Semiclassical initial value series solution of the spin boson problem

机译:自旋玻色子问题的半经典初值级数解

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A numerical solution for the quantum dynamics of the spin boson problem is obtained using the semiclassical initial value series representation approach to the quantum dynamics. The zeroth order term of the series is computed using the new forward-backward representation for correlation functions presented in the preceding adjacent paper. This leads to a rapid convergence of the Monte Carlo sampling, as compared to previous attempts. The zeroth order results are already quite accurate. The first order term of the series is small, demonstrating the rapid convergence of the semiclassical initial value representation series. This is the first time that the first order term in the semiclassical initial value representation series has been converged for systems with the order of 50 degrees of freedom. (c) 2007 American Institute of Physics.
机译:自旋玻色子问题的量子动力学的数值解是使用半经典的初值序列表示方法获得的。使用先前相邻论文中提出的相关函数的新的前-后表示法来计算系列的零阶项。与以前的尝试相比,这导致了蒙特卡洛采样的快速收敛。零阶结果已经非常准确。该序列的一阶项很小,表明半经典初始值表示序列的快速收敛。这是第一次将半经典初始值表示序列中的一阶项对具有50个自由度的系统进行收敛。 (c)2007年美国物理研究所。

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