论文标题
具有超电极偶极分子的量子模拟器的精度：连续性和晶格描述之间的定量比较
Accuracy of quantum simulators with ultracold dipolar molecules: a quantitative comparison between continuum and lattice descriptions
论文作者
论文摘要
随着超速磁原子和偶极分子的控制和操纵的快速进展，现在具有强烈相互作用的偶极 - 偶极相互作用（DDI）和高密度的晶格模型的量子模拟现在已在实验范围内。这种快速发展提出了有关此类政权中量子模拟有效性的问题。在这项研究中，我们通过在光学晶格中对偶性玻色子的一维气体的连续描述与单层玻色式晶格模型进行完整的定量比较来解决这个问题。通过比较能量和密度分布，以及通过计算连续体和晶格多体波函数之间的直接重叠，我们证明在强DDI和高密度的状态下，连续体系统无法重新创建所需的晶格模型。两种频带哈伯德模型对于减少连续体和晶格描述之间观察到的差异是必要的，但密度曲线的明显偏差仍然存在。我们的研究阐明了强DDI在最低波段描述以外的物理学中的作用，并应为校准近期偶极量子模拟器的校准提供指南。
With rapid progress in control and manipulation of ultracold magnetic atoms and dipolar molecules, the quantum simulation of lattice models with strongly interacting dipole-dipole interactions (DDI) and high densities is now within experimental reach. This rapid development raises the issue about the validity of quantum simulation in such regimes. In this study, we address this question by performing a full quantitative comparison between the continuum description of a one-dimensional gas of dipolar bosons in an optical lattice, and the single-band Bose-Hubbard lattice model that it quantum simulates. By comparing energies and density distributions, and by calculating direct overlaps between the continuum and lattice many-body wavefunctions, we demonstrate that in regimes of strong DDI and high densities the continuum system fails to recreate the desired lattice model. Two-band Hubbard models become necessary to reduce the discrepancy observed between continuum and lattice descriptions, but appreciable deviations in the density profile still remain. Our study elucidates the role of strong DDI in generating physics beyond lowest-band descriptions and should offer a guideline for the calibration of near-term dipolar quantum simulators.
