锯齿形光晶格合成理论与加磁场时冷原子能带结构

Theory of Sawtooth Optical Lattice Synthesis and the Energy Band Structure of Cold Atomic Is Added with Magnetic Field

摘要: 本文提出了一种合成锯齿形光晶格的理论，并且采用理论计算的方法探讨了冷原子在外加磁场的锯齿光晶格中的能带结构。通过对比无磁场情况，发现磁场会在其色散关系图中产生一个空洞。并且沿锯齿势方向出现与广义Kronig-Penney模型中发现的谱带相似的能带结构。

Abstract: In this paper, a theory of synthetic sawtooth optical lattice is presented and the band structure of cold atoms in sawtooth optical lattice with applied magnetic field is discussed by theoretical calculation. By comparing the absence of magnetic field, it is found that the magnetic field will produce a hole in the dispersion diagram. Band structures similar to those found in the generalized Kronig-Penney model appear along the direction of sawtooth potential.