论文标题

在量子模拟器中的介子散射

Scattering of mesons in quantum simulators

论文作者

Surace, Federica Maria, Lerose, Alessio

论文摘要

模拟基本互动理论中的实时演变代表了当代理论物理学中的主要挑战之一。冷原子平台是有前途的候选人,可以在量规理论(例如真空衰减和强子碰撞)中实现非扰动现象的量子模拟,以直接实验。在这项工作中,我们证明了当今的量子模拟器可以模仿线性粒子加速器,从而可以访问低维ABELIAN仪表理论中的弹性和非弹性介子碰撞的S-矩阵测量。考虑确定性$(1+1)$ - 尺寸$ \ Mathbb {z} _2 $ - lattice仪表理论可以通过rydberg-atom数组实现,我们提出协议,以观察并测量选定的中森 - 梅森 - 梅森散射过程。我们提供了一个基准理论研究,该研究对大型费米亚质量的散射幅度进行了基准研究,其中包括有效的确切解决方案。这使我们能够讨论非弹性散射通道的发生,其中包括具有不同内部结构的新介子。我们提出了逼真的波袋碰撞的数值模拟,这些碰撞重现了预测的横截面峰。这项工作突出了量子模拟的潜力,可以使实时散射动力学前所未有。

Simulating real-time evolution in theories of fundamental interactions represents one of the central challenges in contemporary theoretical physics. Cold-atom platforms stand as promising candidates to realize quantum simulations of non-perturbative phenomena in gauge theories, such as vacuum decay and hadron collisions, in prohibitive conditions for direct experiments. In this work, we demonstrate that present-day quantum simulators can imitate linear particle accelerators, giving access to S-matrix measurements of elastic and inelastic meson collisions in low-dimensional Abelian gauge theories. Considering for definiteness a $(1+1)$-dimensional $\mathbb{Z}_2$-lattice gauge theory realizable with Rydberg-atom arrays, we present protocols to observe and measure selected meson-meson scattering processes. We provide a benchmark theoretical study of scattering amplitudes in the regime of large fermion mass, including an exact solution valid for arbitrary coupling strength. This allows us to discuss the occurrence of inelastic scattering channels, featuring the production of new mesons with different internal structures. We present numerical simulations of realistic wavepacket collisions, which reproduce the predicted cross section peaks. This work highlights the potential of quantum simulations to give unprecedented access to real-time scattering dynamics.

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