1 research outputs found
Quantum Simulation of 2D Quantum Chemistry in Optical Lattices
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, 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.Comment: 12 pages, 7 figures. Supplementary materia