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arxiv 2410.17383 v1 pith:62WAVLB2 submitted 2024-10-22 nucl-th cond-mat.dis-nnquant-ph

A Machine Learning Approach to Trapped Many-Fermion Systems

classification nucl-th cond-mat.dis-nnquant-ph
keywords learningmachineansatzapplyapproachcasesconvergencecoupled
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We apply a variational Ansatz based on neural networks to the problem of spin-$1/2$ fermions in a harmonic trap interacting through a short distance potential. We showed that standard machine learning techniques lead to a quick convergence to the ground state, especially in weakly coupled cases. Higher couplings can be handled efficiently by increasing the strength of interactions during "training".

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