论文标题

现场张量网络状态

Field Tensor Network States

论文作者

Nielsen, Anne E. B., Herwerth, Benedikt, Cirac, J. Ignacio, Sierra, Germán

论文摘要

我们为旋转系统定义了一类张量网络状态,其中各个张量是字段的功能。该结构基于量子场理论中运算符相关因子的路径积分表示。这些张量网络状态是矩阵产品状态的无限尺寸版本和预计的纠缠对状态。我们发现生成haldane-shastry波函数并将其扩展到两个维度的场调整器。我们提供的证据表明,后者是Kalmeyer-Laughlin波函数描述的拓扑性手性状态的基础。

We define a class of tensor network states for spin systems where the individual tensors are functionals of fields. The construction is based on the path integral representation of correlators of operators in quantum field theory. These tensor network states are infinite dimensional versions of matrix product states and projected entangled pair states. We find the field-tensor that generates the Haldane-Shastry wave function and extend it to two dimensions. We give evidence that the latter underlies the topological chiral state described by the Kalmeyer-Laughlin wave function.

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