两体和三体相互作用下的非线性Landau-Zener隧穿的圈结构研究

Research on loop structure of nonlinear Landau-Zener tunneling with two and three-body interactions

在加速光晶格中玻色-爱因斯坦凝聚体(BEC),当同时考虑两体和三体相互作用时,其能级结构、隧穿率出现了独特的特性.在一维加速光晶格中的BEC,当两体和三体相互作用参数满足一定条件时,非线性两能级体系的能级结构中出现了圈结构,研究得出了圈的宽度随两体和三体相互作用参数变化的关系,并由此分析圈结构的出现及其大小对BEC隧穿率的影响.

Bose-Einstein condensate （BEC） in an accelerating optical lattice has particular characteristic for energy structure and tunneling probability when both two and three-body interactions are taken into account .The loop structure and loop width of BEC with two and three-body interactions in a one-dimen-sional accelerating optical lattice are discussed .When the loop structure is excited ,an analytical expres-sion of the loop width is obtained .On the other hand ,the influence of the loop width on the tunneling probability is discussed in detail .