用Wilson费米子对格点规范理论的量子模拟
Quantum simulation of lattice gauge theories using Wilson fermions
摘要：
量子模拟器有着令人兴奋的前景，可以让人们实时了解格点规范理论的动态，特别是在经典计算机难以计算的区域。然而，未来对格点规范理论的可扩展量子模拟的进展，关键取决于实验资源的有效利用。正如我们在这项工作中所讨论的，由于相对论性狄拉克哈密顿量离散化的基本非唯一性，规范理论的格点表示允许到目前为止尚未探索的优化。我们将讨论与晶格量子电动力学在二维时空中，我们表明，通过威尔逊费米子的配方提供了几个优势，比以前考虑交错费米子。值得注意的是，它使一个非常简化的光晶格设置，它减少了模拟动态规范场所需的自由度的数量。利用最佳表示，我们提出了一个实验的基础上的混合物的超冷原子被困在一个倾斜的光晶格。使用数值基准模拟，我们表明，一个国家的最先进的量子模拟器可以访问Schwinger机制，并绘制出其非微扰的发病。
英文摘要：
Quantum simulators have the exciting prospect of giving access to real-time dynamics of lattice gauge theories, in particular in regimes that are difficult to compute on classical computers. Future progress towards scalable quantum simulation of lattice gauge theories, however, hinges crucially on the efficient use of experimental resources. As we argue in this work, due to the fundamental non-uniqueness of discretizing the relativistic Dirac Hamiltonian, the lattice representation of gauge theories allows for an optimization that up to now has been left unexplored. We exemplify our discussion with lattice quantum electrodynamics in two-dimensional space-time, where we show that the formulation through Wilson fermions provides several advantages over the previously considered staggered fermions. Notably, it enables a strongly simplified optical lattice setup and it reduces the number of degrees of freedom required to simulate dynamical gauge fields. Exploiting the optimal representation, we propose an experiment based on a mixture of ultracold atoms trapped in a tilted optical lattice. Using numerical benchmark simulations, we demonstrate that a state-of-the-art quantum simulator may access the Schwinger mechanism and map out its non-perturbative onset.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
