(1+1)维QED散射过程中的纠缠产生
Entanglement generation in $(1+1)D$ QED scattering processes
AI总结:
本文利用张量网络研究(1+1)维QED中介子-介子散射,通过自由费米子近似制备初始波包,计算碰撞动力学与散射振幅,发现出射介子渐近纠缠在阈值耦合以下为微扰小量、超过阈值后急剧增长。
摘要:
我们利用张量网络研究(1+1)维QED中的实时介子-介子散射过程。我们基于自由费米子模型引入一种近似,制备具有给定动量和位置的初始介子波包。然后,我们计算两个初始分离的碰撞介子的动力学,在弱耦合和中等耦合区域中改变相互作用强度和初始状态,观察到丰富的现象学。最后,我们考虑弹性碰撞,测量一些散射振幅以及该过程产生的纠缠。值得注意的是,我们识别出出射介子之间渐近纠缠的两种不同区域:在阈值耦合以下,纠缠为微扰小量;超过该阈值后,纠缠随耦合的增长急剧加速。
英文摘要:
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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