论文标题
有限体积的有效计算有效
Efficient few-body calculations in finite volume
论文作者
论文摘要
在有限体积中模拟量子系统是一种强大的理论工具,可以提取有关它们的信息。系统的真实属性是在其离散能级如何随体积的大小而变化的编码。这种方法不仅与核物理学相关,在核物理学中,基于谐波振荡器扩展的原子核的几个和许多核状态的晶格方法补充了原子核的现象学现象学壳模型描述,也与其他领域(例如冷原子系统的模拟)相关。这项贡献提出了有关几体系统的有限体积模拟的最新进展。特别是,它讨论了有关可分离相互作用的有效数值实现的详细信息,并提出了特征向量的延续,作为执行强大而有效的音量外推的一种方法。
Simulating quantum systems in a finite volume is a powerful theoretical tool to extract information about them. Real-world properties of the system are encoded in how its discrete energy levels change with the size of the volume. This approach is relevant not only for nuclear physics, where lattice methods for few- and many-nucleon states complement phenomenological shell-model descriptions and ab initio calculations of atomic nuclei based on harmonic oscillator expansions, but also for other fields such as simulations of cold atomic systems. This contribution presents recent progress concerning finite-volume simulations of few-body systems. In particular, it discusses details regarding the efficient numerical implementation of separable interactions and it presents eigenvector continuation as a method for performing robust and efficient volume extrapolations.