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Paper · arXiv

Bethe Ansatz with a Large Language Model

We explore the capability of a Large Language Model (LLM) to perform specific computations in mathematical physics: the task is to compute the coordinate Bethe Ansatz solution of selected integrable spin chain models. We select three integrable Hamiltonians for which the solutions were unpublished; two of the Hamiltonians are actually new. We observed that the LLM semi-autonomously solved the task in all cases, with a few mistakes along the way. These were corrected after the human researchers spotted them. The results of the LLM were checked against exact diagonalization (performed by separate programs), and the derivations were also checked by the authors. The Bethe Ansatz solutions are...

AuthorsBalázs Pozsgay, István Vona
Primary categorycond-mat.stat-mech
Published31 March 2026
Last updated at source31 March 2026
cond-mat.stat-mechcs.AIhep-th
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