论文标题
部分可观测时空混沌系统的无模型预测
Path Integral Quantum Monte Carlo Calculations of Light Nuclei
论文作者
论文摘要
我们描述了一种在连续空间中用于光核的路径综合基量量蒙特卡洛法。我们展示了如何通过旋转依赖性和自旋轨道相互作用有效地更新和采样路径。我们使用局部手性相互作用将方法应用于Triton和Alpha粒子，并与近代到隔离的订单％（n $^2 $ LO）和Argonne Itsptootions一起使用。对于像总能量一样，与哈密顿的通勤一样，我们的结果与格林的功能蒙特卡洛和辅助场扩散蒙特卡洛计算一致。对于不使用哈密顿量和欧几里得响应函数上市的操作员，路径综合设备可以直接计算而无需前进的步行或典型的扩散方法的差异增加。我们通过计算密度分布，均方根半径和欧几里得响应函数来证明这一点。
We describe a path-integral ground-state quantum Monte Carlo method for light nuclei in continuous space. We show how to efficiently update and sample the paths with spin-isospin dependent and spin-orbit interactions. We apply the method to the triton and alpha particle using both local chiral interactions with next-to-next-to-leading-order %(N$^2$LO) and the Argonne interactions. For operators, like the total energy, that commute with the Hamiltonian, our results agree with Green's function Monte Carlo and auxiliary field diffusion Monte Carlo calculations. For operators that do not commute with the Hamiltonian and for Euclidean response functions, the path-integral formulation allows straightforward calculation without forward walking or the increased variance typical of diffusion methods. We demonstrate this by calculating density distributions, root mean square radii, and Euclidean response functions for single-nucleon couplings.
