Cyclotron dynamics of neutral atoms in optical lattices with additional magnetic field and harmonic trap potential<xref rid="cpb_29_1_010307fn1" ref-type="fn">*</xref><fn id="cpb_29_1_010307fn1"><label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11764039, 11847304, 11865014, 11475027, 11305132, and 11274255), the Natural Science Foundation of Gansu Province, China (Grant No. 17JR5RA076), and the Scientific Research Project of Gansu Higher Education Department, China (Grant No. 2016A-005).</p></fn>

Cyclotron dynamics of neutral atoms in optical lattices with additional magnetic field and harmonic trap potential**

Project supported by the National Natural Science Foundation of China (Grant Nos. 11764039, 11847304, 11865014, 11475027, 11305132, and 11274255), the Natural Science Foundation of Gansu Province, China (Grant No. 17JR5RA076), and the Scientific Research Project of Gansu Higher Education Department, China (Grant No. 2016A-005).

Zhang Ai-Xia^†, Zhang Ying, Jiang Yan-Fang, Yu Zi-Fa, Cai Li-Xia, Xue Ju-Kui^‡

The dynamics of the condensate with ϕ = 0.189. From the first row to the second row: γ = 0,0.001, respectively. The cyclotron orbit (red lines) of the second row in the m–n plane is given by Eqs. (14) and (15). The initial conditions are (ξ_x₀,ξ_y₀) = (50,50),(p_x₀, p_y₀) = (π,π).