GrassmannTN: a Python package for Grassmann tensor network computations

Abstract

We present GrassmannTN, a Python package for the computation of the Grassmann tensor network. The package is built to assist in the numerical computation without the need to input the fermionic sign factor manually. It prioritizes coding readability by designing every tensor manipulating function around the tensor subscripts. The computation of the Grassmann tensor renormalization group and Grassmann isometries using GrassmannTN are given as the use case examples.

Comments: 35 pages, 9 figures; v2: eq(A.36) corrected; v3: references added