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Overview

XDiag is a library for performing Exact Diagonalizations of quantum many-body systems. Key features include optimized combinatorical algorithms for navigating Hilbert spaces, iterative linear algebra algorithms, shared and distributed memory parallelization. It consist of two packages:

• The core C++ library xdiag
• The convenient Julia wrapper library XDiag.jl

Citation

Our software paper in now available on the arXiv: XDiag software paper.

Please support our work by citing XDiag and the implemented algorithms if it is used in your published research.

@article{xdiag,
Author = {Alexander Wietek and Luke Staszewski and Martin Ulaga and Paul L. Ebert and Hannes Karlsson and Siddhartha Sarkar and Henry Shackleton and Aritra Sinha and Rafael D. Soares},
Title = {XDiag: Exact Diagonalization for quantum many-body systems},
Year = {2025},
journal = {arXiv preprints},
eprint = {arXiv:2505.02901},
archivePrefix = {arXiv},
primaryClass = {cond-mat.str-el}
}

If you are using the sublattice coding techniques or distributed memory parallelization, please also cite the following paper.

@article{Wietek2018,
  title = {Sublattice coding algorithm and distributed memory parallelization for large-scale exact diagonalizations of quantum many-body systems},
  author = {Wietek, Alexander and L\"auchli, Andreas M.},
  journal = {Phys. Rev. E},
  volume = {98},
  issue = {3},
  pages = {033309},
  numpages = {10},
  year = {2018},
  month = {Sep},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevE.98.033309},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.98.033309}
}

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