Periodically modulated interaction effect on transport of Bose–Einstein condensates in lattice with local defects*

Project supported by the National Natural Science Foundation of China (Grant Nos. 11764039, 11475027, 11865014, 11305132, and 11274255), the Natural Science Foundation of Gansu Province, China (Grant No. 17JR5RA076), and the Scientific Research Project of Gansu Higher Education, China (Grant No. 2016A-005).

Zhu Kun-Qiang, Yu Zi-Fa, Gao Ji-Ming, Zhang Ai-Xia, Xu Hong-Ping, Xue Ju-Kui
       

The critical scattering length gc as a function of quasi-momentum k for different Γ (a) and as a function of modulated strength Γ for different k (b) with a single defect. Here a0 is the Bohr radius, N = 100, and ε = 0.01. The points are numerical simulations of Eq. (1) and the lines are the analytical results of Eq. (13).