Bai Xiao-Dong, Zhang Ai-Xia, Xue Ju-Kui
Key Laboratory of Atomic & Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Dec;88(6):062916. doi: 10.1103/PhysRevE.88.062916. Epub 2013 Dec 17.
By considering the discrete nonlinear Schrödinger model with dipole-dipole interactions for dipolar condensate, the existence, the types, the stability, and the dynamics of the localized modes in a nonlinear lattice are discussed. It is found that the contact interaction and the dipole-dipole interactions play important roles in determining the existence, the type, and the stability of the localized modes. Because of the coupled effects of the contact interaction and the dipole-dipole interactions, rich localized modes and their stability nature can exist: when the contact interaction is larger and the dipole-dipole interactions is smaller, a discrete bright breather occurs. In this case, while the on-site interaction can stabilize the discrete breather, the dipole-dipole interactions will destabilize the discrete breather; when both the contact interaction and the dipole-dipole interactions are larger, a discrete kink appears. In this case, both the on-site interaction and the dipole-dipole interactions can stabilize the discrete kink, but the discrete kink is more unstable than the ordinary discrete breather. The predicted results provide a deep insight into the dynamics of blocking, filtering, and transfer of the norm in nonlinear lattices for dipolar condensates.
通过考虑具有偶极-偶极相互作用的偶极凝聚体的离散非线性薛定谔模型,讨论了非线性晶格中局域模的存在性、类型、稳定性和动力学。研究发现,接触相互作用和偶极-偶极相互作用在确定局域模的存在性、类型和稳定性方面起着重要作用。由于接触相互作用和偶极-偶极相互作用的耦合效应,可能存在丰富的局域模及其稳定性特征:当接触相互作用较大而偶极-偶极相互作用较小时,会出现离散亮呼吸子。在这种情况下,虽然在位相互作用可以使离散呼吸子稳定,但偶极-偶极相互作用会使离散呼吸子失稳;当接触相互作用和偶极-偶极相互作用都较大时,会出现离散扭结。在这种情况下,在位相互作用和偶极-偶极相互作用都可以使离散扭结稳定,但离散扭结比普通离散呼吸子更不稳定。预测结果为深入了解偶极凝聚体非线性晶格中范数的阻塞、滤波和传输动力学提供了见解。