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 Jun1, 2, Zhang Jian-Qi1, Yan Lei-Lei1, Feng Mang1, †
       

|Ψ(m)| and S(m) for 1000 trapped ions based on the parameter definition of Eq. (2), where χ = ( 1 + 5 ) / 2 . (a) |Ψ(80)| with Ω A = 4.5 C , ω = 5.2 C (red solid line) and 11 C (blue dashed line), (b) |Ψ(990)| with the same parameter values as in panel (a). (c) S(150) with ω = 5.5 C (red solid line) and 18 C (blue dashed solid) (d) S(900) with the same parameter values as in panel (c).