论文标题
光学晶格中2D量子化学的量子模拟
Quantum Simulation of 2D Quantum Chemistry in Optical Lattices
论文作者
论文摘要
量子化学中的数值方法是量子模拟器可以提供的关键机会之一。在这里，我们提出了一个基于光学晶格中冷原子的离散2D量子化学模型的模拟模拟器。我们首先分析了如何使用单个费米子原子模拟简单模型，例如H $ _2^+$的离散版本。然后，我们表明，单个骨气原子可以介导两个费米之间的有效库仑排斥，从而导致分子氢的类似物在两个维度上。我们通过引入与费米子一样多的介导原子并得出有效的排斥法，将这种方法扩展到较大的系统。在所有情况下，我们分析如何接近连续极限以增加光学晶格尺寸。
Benchmarking numerical methods in quantum chemistry is one of the key opportunities that quantum simulators can offer. Here, we propose an analog simulator for discrete 2D quantum chemistry models based on cold atoms in optical lattices. We first analyze how to simulate simple models, like the discrete versions of H and H$_2^+$, using a single fermionic atom. We then show that a single bosonic atom can mediate an effective Coulomb repulsion between two fermions, leading to the analog of molecular Hydrogen in two dimensions. We extend this approach to larger systems by introducing as many mediating atoms as fermions, and derive the effective repulsion law. In all cases, we analyze how the continuous limit is approached for increasing optical lattice sizes.
