标题： 非局部排斥耦合下的Gross-Pitaevskii方程中的孤子晶格 显示英文标题

标题： Soliton lattices in the Gross-Pitaevskii equation with nonlocal and repulsive coupling

摘要： 空间周期性模式在非局部耦合的Gross-Pitaevskii方程中被研究。我们首先表明，具有偶极-偶极相互作用的模型中会出现空间周期性模式。接下来，我们研究了一个具有有限范围耦合的模型，并表明排斥耦合系统与吸引耦合系统密切相关，其孤子解成为空间周期性结构的构建块。也就是说，空间周期性结构可以解释为孤子晶格。孤子的近似形式通过变分法给出。此外，旋转谐波势和自旋-轨道耦合的影响被数值研究。 显示英文摘要

摘要： Spatially-periodic patterns are studied in nonlocally coupled Gross-Pitaevskii equation. We show first that spatially periodic patterns appear in a model with the dipole-dipole interaction. Next, we study a model with a finite-range coupling, and show that a repulsively coupled system is closely related with an attractively coupled system and its soliton solution becomes a building block of the spatially-periodic structure. That is, the spatially-periodic structure can be interpreted as a soliton lattice. An approximate form of the soliton is given by a variational method. Furthermore, the effects of the rotating harmonic potential and spin-orbit coupling are numerically studied.