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

Abstract

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.

22 + 4 pages

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Cited by in corpus (7)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Engineering impurity Bell states through coupling with a quantum bath
• Quantum chaos in interacting Bose-Bose mixtures
• Comparison of renormalized interactions using one-dimensional few-body systems as a testbed
• Unconventional pairing in few-fermion systems at finite temperature
• Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures
• Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems