Institute for Theoretical Physics III, University of Stuttgart, Germany.
Phys Rev Lett. 2010 Mar 5;104(9):090402. doi: 10.1103/PhysRevLett.104.090402.
We study the exact solution for two atomic particles in an optical lattice interacting via a Feshbach resonance. The analysis includes the influence of all higher bands, as well as the proper renormalization of molecular energy in the closed channel. This exact solution allows for the precise determination of the parameters in the Hubbard model and the two-particle bound state energy. We identify the regime, where a single band Hubbard model fails to describe the scattering properties of the atoms as well as the bound states energies.
我们研究了通过 Feshbach 共振相互作用的两个原子粒子在光学晶格中的精确解。分析包括所有更高能带的影响，以及在闭通道中分子能量的适当重整化。这个精确解允许精确确定 Hubbard 模型和双粒子束缚态能量的参数。我们确定了一个区域，在这个区域中，单带 Hubbard 模型无法描述原子的散射性质和束缚态能量。
