Fast emulation of quantum three-body scattering

Fast emulation of quantum three-body scattering
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量子三体散射的快速仿真

DOI:
10.1103/physrevc.105.064004
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发表时间:
2022
期刊:
影响因子:
3.1
通讯作者:
Furnstahl, R. J.
Furnstahl, R. J.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Zhang, Xilin;Furnstahl, R. J.

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我们开发了一类用于解决量子三体散射问题的仿真器。它们是基于散射观测的变分方法和最近提出的特征向量连续概念。仿真器首先由控制哈密顿量在其参数空间中的少量点处的精确散射解来训练,然后用于在该空间中进行内插和外推。通过一个有限范围的二体和三体相互作用的核物理模型,我们证明了该模拟器是非常准确和高效的。仿真的计算时间是毫秒级的(在笔记本电脑上),相对误差从最小到最小不等。模拟器也需要很少的内存。我们认为这些仿真器可以推广到更具挑战性的散射问题。此外,这种通用策略可能适用于在其他领域构建相同类型的仿真器,无论哪里可以开发出用于评估物理模型的变分方法。
We develop a class of emulators for solving quantum three-body scattering problems. They are based on combining the variational method for scattering observables and the recently proposed eigenvector continuation concept. The emulators are first trained by the exact scattering solutions of the governing Hamiltonian at a small number of points in its parameter space, and then employed to make interpolations and extrapolations in that space. Through a schematic nuclear-physics model with finite-range two and three-body interactions, we demonstrate the emulators to be extremely accurate and efficient. The computing time for emulation is on the scale of milliseconds (on a laptop), with relative errors ranging fromtodepending on the case. The emulators also require little memory. We argue that these emulators can be generalized to even more challenging scattering problems. Furthermore, this general strategy may be applicable for building the same type of emulators in other fields, wherever variational methods can be developed for evaluating physical models.
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影响因子: 16.6
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