Tunneling dynamics of bosons in the diamond lattice chain Project supported by the National Natural Science Foundation of China (Grant Nos. 11764039, 11475027, 11865014, 11865014, 11274255, and 11305132), the Natural Science Foundation of Gansu Province, China (Grant No. 17JR5RA076), and the Scientific Research Project of the Higher Education of Gansu Province, China (Grant No. 2016A-005). |
(color online) Energy band λ(k) versus wave number k for different vertical tilting εv with the synthetic magnetic flux ϕ = 0, which contains a flat band λflat (red line) and two non-flat bands λ± (blue and black lines). Note that the horizontal tilting εh = 0. |