Dynamics of momentum distribution and structure factor in a weakly interacting Bose gas with a periodical modulation

Ning Liu(刘宁),Z C Tu(涂展春)

Figure 1. Stable and unstable diagram of the Mathieu equation. Each ai (i = 0, 1, 2, …) is an eigenvalue of even periodic solutions cei of the Mathieu equation (dashed line). Any curve of eigenvalue bj (j = 1, 2, …) corresponds to the odd periodical solution sej (solid line). The stable and unstable solution of the Mathieu equation corresponds to the blank areas and shaded areas, respectively.