We consider theoretically the formation of vortex in rotating Bose-Einstein condensates (BECs) with higher order interaction (HOI). Our results are obtained from the twodimensional Gross-Pitaevskii equation. As the first step, for the certain number vortices, we discuss the ground state properties and show that the critical rotation frequency for HOI is smaller than those without HOI. As the increasing of HOI strength, the critical rotation frequency decreases. In addition, we verify that the Feynman rule is meet well. Moreover, we study the vortex dynamics.Numerical results indicate that the angular momentum remains almost unchanged irrespective of the HOI strength. The time taken for the nucleation of vortices pays less for strong HOI. These results suggest that the HOI is favorable to rotate the condensate, and this mechanism is useful to control the vortex number in BECs.

我们从理论上考虑在具有更高阶相互作用（HOI）的旋转Bose-Einstein冷凝液（BEC）中形成涡旋。我们的结果是从二维Gross-Pitaevskii方程获得的。第一步，对于一定数量的涡旋，我们讨论了基态特性，并显示了HOI的临界旋转频率小于没有HOI的临界旋转频率。随着HOI强度的增加，临界旋转频率降低。此外，我们验证了费曼规则是否满足要求。此外，我们研究了涡旋动力学。数值结果表明，与HOI强度无关，角动量几乎保持不变。强HOI使涡旋核化所花费的时间更少。这些结果表明，HOI有利于旋转凝结水，