A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D
Rammelmüller L, Huber D, Volosniev A. 2023. A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D. SciPost Physics Codebases., 12.
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Author
Rammelmüller, Lukas;
Huber, David;
Volosniev, ArtemISTA 
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Abstract
<jats:p>We introduce a generic and accessible implementation of an exact diagonalization method for studying few-fermion models. Our aim is to provide a testbed for the newcomers to the field as well as a stepping stone for trying out novel optimizations and approximations. This userguide consists of a description of the algorithm, and several examples in varying orders of sophistication. In particular, we exemplify our routine using an effective-interaction approach that fixes the low-energy physics. We benchmark this approach against the existing data, and show that it is able to deliver state-of-the-art numerical results at a significantly reduced computational cost.</jats:p>
Publishing Year
Date Published
2023-04-19
Journal Title
SciPost Physics Codebases
Publisher
SciPost Foundation
Acknowledgement
We acknowledge fruitful discussions with Hans-Werner Hammer and thank Gerhard Zürn and
Pietro Massignan for sending us their data. We thank Fabian Brauneis for beta-testing the
provided code-package, and comments on the manuscript.
L.R. is supported by FP7/ERC Consolidator Grant QSIMCORR, No.
771891, and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under
Germany’s Excellence Strategy –EXC–2111–390814868. A.G.V. acknowledges support
by European Union’s Horizon 2020 research and innovation programme under the Marie
Skłodowska-Curie Grant Agreement No. 754411.
Article Number
12
ISSN
IST-REx-ID
Cite this
Rammelmüller L, Huber D, Volosniev A. A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D. SciPost Physics Codebases. 2023. doi:10.21468/scipostphyscodeb.12
Rammelmüller, L., Huber, D., & Volosniev, A. (2023). A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D. SciPost Physics Codebases. SciPost Foundation. https://doi.org/10.21468/scipostphyscodeb.12
Rammelmüller, Lukas, David Huber, and Artem Volosniev. “A Modular Implementation of an Effective Interaction Approach for Harmonically Trapped Fermions in 1D.” SciPost Physics Codebases. SciPost Foundation, 2023. https://doi.org/10.21468/scipostphyscodeb.12.
L. Rammelmüller, D. Huber, and A. Volosniev, “A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D,” SciPost Physics Codebases. SciPost Foundation, 2023.
Rammelmüller L, Huber D, Volosniev A. 2023. A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D. SciPost Physics Codebases., 12.
Rammelmüller, Lukas, et al. “A Modular Implementation of an Effective Interaction Approach for Harmonically Trapped Fermions in 1D.” SciPost Physics Codebases, 12, SciPost Foundation, 2023, doi:10.21468/scipostphyscodeb.12.
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