Analytical treatment of Anderson localization in a chain of trapped ions experiencing laser Bessel beams<xref rid="cpb_28_1_010306fn1" ref-type="fn">*</xref> <fn id="cpb_28_1_010306fn1"> <label>*</label> <p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11734018, 11674360, 11404377, and 91636220).</p> </fn>

Analytical treatment of Anderson localization in a chain of trapped ions experiencing laser Bessel beams* *

Project supported by the National Natural Science Foundation of China (Grant Nos. 11734018, 11674360, 11404377, and 91636220).

Wen Jun^{1, 2}, Zhang Jian-Qi¹, Yan Lei-Lei¹, Feng Mang^{1, †}

Energy eigenstates of Eq. (1) with the parameter definition of Eq. (2) (left panels) and Eq. (3) (right panels) for 1000 trapped ions and χ = ( 1 + 5 ) / 2 . (a) ω = 5.1 C , (b) ω = 5.1 C , (c) ω = 9.5 C and (d) ω = 9.5 C . The color bar indicates the magnitude of the IPR. The black solid line in each panel is the mobility edge obtained from Eq. (3).