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A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D

Lukas Rammelmüller, David Huber, Artem G. Volosniev

SciPost Phys. Codebases 12 (2023) · published 19 April 2023

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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.

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