Orthogonality catastrophe with long-range interactions

Anderson orthogonality catastrophe is a fundamental property of fermions with a fermi surface subjected to a scattering potential. The case of finite-range potential has been well-understood. Recently, long-range interaction has been achieved in numerous quantum systems such as trapped ions, Rydberg atoms, and polar atoms/molecules. In this talk, I will present our recent study on Anderson orthogonality catastrophe with long rang interaction in one, two, and three dimensions. With a power-law type long-range interaction 1/r^α, we find in one dimension that there is critical α below which the conventional AOC scenario does not hold. In both two and three dimensions, we establish that the AOC holds generically for any value of α This can be attributed to the energy barrier produced by angular motion in two and three dimensions, which is absent in one dimension. We show our theoretical results can be readily tested in trapped ions and tweezer-array confined Rydberg atoms.