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GrassmannTN: a Python package for Grassmann tensor network computations

by Atis Yosprakob

Submission summary

Authors (as registered SciPost users): Atis Yosprakob
Submission information
Preprint Link: scipost_202310_00036v1  (pdf)
Code repository:
Date accepted: 2023-11-06
Date submitted: 2023-10-30 07:16
Submitted by: Yosprakob, Atis
Submitted to: SciPost Physics Codebases
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
  • High-Energy Physics - Theory
Approaches: Theoretical, Computational


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.

Author comments upon resubmission

Minor revision from the referee's request.

List of changes

1) Clarify the sentence 'the legs to be squeezed are separated from the others' at the beginning of p.21
2) Add the condition 'i,j ∈ {0,1}' after eq.(A.6)
3) Clarify about Grassmann eigendecomposition at the end of section A.7.
4) Add Ref. 36-40 which are important examples of the use of Jordan-Wigner transformation in fermionic tensor networks

Published as SciPost Phys. Codebases 20-r1.3 (2023) , SciPost Phys. Codebases 20 (2023)

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