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arXiv · 2606.25199

Two-Body Scattering Observables from Finite-Volume Real-Time Evolution

Lucas Platter
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Abstract

We study two-body scattering observables from real-time evolution in a finite periodic box. The system consists of two distinguishable particles on a two-dimensional lattice interacting through pointlike $s$- and $p$-wave interactions. We evolve their wave packets in real time, define detector observables through angular wedges in the relative coordinate, and attach infinite-volume labels obtained from the bound-state pole equation and the low-energy scattering amplitude. We train a convolutional neural network on this data and test its performance on held-out scattering problems and find that is able to predict the total magnitude and angular shape for previously unseen Hamiltonians.

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Lucas Platter. 2026-06-23. Two-Body Scattering Observables from Finite-Volume Real-Time Evolution. https://arxiv.org/abs/2606.25199

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