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

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arxiv 2105.03445 v4 pith:ECTMUGYB submitted 2021-05-07 hep-lat cond-mat.stat-mechcond-mat.str-elhep-phphysics.comp-phquant-ph

classification hep-latcond-mat.stat-mechcond-mat.str-elhep-phphysics.comp-phquant-ph
keywords couplingentanglementscatteringinitialmesonsprocessesregimesabruptly
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 6 Pith papers

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