Landau-like quantized levels of neutral atom induced by a dark-soliton shaped electric field<xref rid="cpb_29_1_010303fn1" ref-type="fn">*</xref><fn id="cpb_29_1_010303fn1"><label>*</label><p>Project supported by China Scholarship Council, Shanxi Province Natural Science Foundation, China (Grant No. 201601D011009), the Enterprise Project (Grant No. 01110116100051), Shanxi 1331KSC and 111 Project (Grant No. D18001), and the National Natural Science Foundation of China (Grant Nos. 11404415 and 61873154).</p></fn>

Landau-like quantized levels of neutral atom induced by a dark-soliton shaped electric field**

Project supported by China Scholarship Council, Shanxi Province Natural Science Foundation, China (Grant No. 201601D011009), the Enterprise Project (Grant No. 01110116100051), Shanxi 1331KSC and 111 Project (Grant No. D18001), and the National Natural Science Foundation of China (Grant Nos. 11404415 and 61873154).

Wang Yueming^{1, 3, †}, Jin Zhen²

The bound potential energy curve of a hyperbolic secant square potential.