Numerical continuum tensor networks in two dimensions
Numerical continuum tensor networks in two dimensions
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DOI：
10.1103/physrevresearch.3.023057
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发表时间：
2020-08
影响因子：
4.2
通讯作者：
R. Haghshenas;Zhi-Hao Cui;G. Chan
中科院分区：
文献类型：
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作者：
R. Haghshenas;Zhi-Hao Cui;G. Chan
我们描述了使用张量网络数值确定相互作用的二维费米模型在连续极限的波函数。我们使用两种不同的张量网络状态：一种是基于通过多重网格张量网络公式获得的费米投影纠缠对态的数值连续极限，另一种是基于费米投影纠缠对态与等距粗粒化变换层的组合。我们首先基准我们的方法上的二维自由费米气体，然后继续研究二维相互作用的费米气体与吸引力的相互作用在幺正极限，使用张量网络上的网格多达1000个网站。
We describe the use of tensor networks to numerically determine wave functions of interacting two-dimensional fermionic models in the continuum limit. We use two different tensor network states: one based on the numerical continuum limit of fermionic projected entangled pair states obtained via a tensor network formulation of multi-grid, and another based on the combination of the fermionic projected entangled pair state with layers of isometric coarse-graining transformations. We first benchmark our approach on the two-dimensional free Fermi gas then proceed to study the two-dimensional interacting Fermi gas with an attractive interaction in the unitary limit, using tensor networks on grids with up to 1000 sites.