论文标题
在非亚伯晶格理论中用于弦乐和强子动力学的冷原子量子模拟器
Cold Atom Quantum Simulator for String and Hadron Dynamics in Non-Abelian Lattice Gauge Theory
论文作者
论文摘要
我们提出了一个模拟量子模拟器，用于模拟$（1+1）$ - d非亚伯利亚仪表理论的实时动力学，在Ultracold Atom实验的现有能力内。该方案要求在一维双分晶石中实现两国超低的费米斯系统，并观察随后的隧道动力学。该模拟技术基于SU（2）晶格量表理论的新型Loop String强体形式主义，完全是SU（2）不变的，并模拟了物理现象的准确动力学，例如弦乐断裂和/或配对的产生。该方案是可扩展的，并且在模拟弱耦合方案中的理论以及强大耦合方案中的理论批量极限时尤其有效，直到某些近似值。本文还介绍了晶格量规理论的精确频谱和实时动力学与原子哈密顿量具有实验可实现的参数范围的数字基准比较。
We propose an analog quantum simulator for simulating real time dynamics of $(1+1)$-d non-Abelian gauge theory well within the existing capacity of ultracold atom experiments. The scheme calls for the realization of a two-state ultracold fermionic system in a 1-dimensional bipartite lattice, and the observation of subsequent tunneling dynamics. Being based on novel loop string hadron formalism of SU(2) lattice gauge theory, this simulation technique is completely SU(2) invariant and simulates accurate dynamics of physical phenomena such as string breaking and/or pair production. The scheme is scalable, and particularly effective in simulating the theory in weak coupling regime, and also bulk limit of the theory in strong coupling regime up to certain approximations. This paper also presents a numerical benchmark comparison of exact spectrum and real time dynamics of lattice gauge theory to that of the atomic Hamiltonian with experimentally realizable range of parameters.
