So far 3 publications (that we know of) have used NuLattice. Please let us know if you have used NuLattice in a publication and we have not yet listed it here.
1. Chenyi Gu, Matthias Heinz, Oriel Kiss, Thomas Papenbrock, "Toward scalable quantum computations of atomic nuclei," arXiv:2507.14690
Main message: The sparsity of nuclear Hamiltonians on a position-space lattice basis makes them amenable to quantum computing. Combining this and second quantization allows for quantum computations to scale favorably and have the potential to solve problems that would not be possible using classical computations.
@misc{Gu2026_LatticeQC,
author = "Gu, Chenyi and Heinz, Matthias and Kiss, Oriel and Papenbrock, Thomas",
title = "{Towards scalable quantum computations of atomic nuclei}",
eprint = "2507.14690",
archivePrefix = "arXiv"
}
2. Maxwell Rothman, Ben Johnson-Toth, Francesca Bonaiti, Gaute Hagen, Matthias Heinz, Thomas Papenbrock, "Exactness of the normal-ordered two-body truncation of three-nucleon forces," Phys. Rev. C 112 L051301 (2025), arXiv:2508.01507
Main message: The normal-ordered two-body approximation, commonly used in ab initio computations, is exact with zero-range three-nucleon forces in coupled-cluster calculations at the singles and doubles level.
@article{Rothman2025_NO2BisExact,
author = "Rothman, Maxwell and Johnson-Toth, Ben and Bonaiti, Francesca and Hagen, Gaute and Heinz, Matthias and Papenbrock, Thomas",
title = "{Exactness of the normal-ordered two-body truncation of three-nucleon forces}",
eprint = "2508.01507",
archivePrefix = "arXiv",
doi = "10.1103/psnh-gc5k",
journal = "Phys. Rev. C",
volume = "112",
pages = "L051301",
year = "2025"
}
3. Maxwell Rothman, Ben Johnson-Toth, Gaute Hagen, Matthias Heinz, Thomas Papenbrock, "NuLattice: Ab initio computations of atomic nuclei on lattices," Eur. Phys. J. A 62 28 (2026), arXiv:2509.08771
Main message: Nuclear forces are short ranged. Representing them on a position-space lattice makes nuclear Hamiltonians sparse. This can be used to perform nontrivial ab initio calculations on laptops. NuLattice is a Python package that performs ab initio computations, including Hartree-Fock, exact diagonalization, coupled-cluster, and in-medium similarity renormalization group calculations.
@article{Rothman2026_NuLattice,
author = "Rothman, M. and Johnson-Toth, B. and Hagen, G. and Heinz, M. and Papenbrock, T.",
title = "{NuLattice: Ab initio computations of atomic nuclei on lattices}",
eprint = "2509.08771",
archivePrefix = "arXiv",
doi = "10.1140/epja/s10050-025-01764-6",
journal = "Eur. Phys. J. A",
volume = "62",
pages = "28",
year = "2026"
}