Entanglement generation in $(1+1)D$ QED scattering processes

• URL: http://arxiv.org/abs/2105.03445v4
• Date: Thu, 21 Sep 2023 13:34:30 GMT
• Title: Entanglement generation in $(1+1)D$ QED scattering processes
• Authors: Marco Rigobello, Simone Notarnicola, Giuseppe Magnifico, Simone Montangero
• Abstract summary: We study real-time meson-meson scattering processes in $ (1+1)$-dimensional QED by means of Networks. We compute the dynamics of two initially separated colliding mesons, observing a rich phenomenology as the interaction strength and the initial states are varied in the weak and intermediate coupling regimes.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study real-time meson-meson scattering processes in $(1+1)$-dimensional QED by means of Tensor Networks. We prepare initial meson wave packets with given momentum and position introducing an approximation based on the free fermions model. Then, we compute the dynamics of two initially separated colliding mesons, observing a rich phenomenology as the interaction strength and the initial states are varied in the weak and intermediate coupling regimes. Finally, we consider elastic collisions and measure some scattering amplitudes as well as the entanglement generated by the process. Remarkably, we identify two different regimes for the asymptotic entanglement between the outgoing mesons: it is perturbatively small below a threshold coupling, past which its growth as a function of the coupling abruptly accelerates.

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