Universal Pseudo-<inline-formula><tex-math><?CDATA ${\mathscr{P}}{\mathscr{T}}$?></tex-math> <mml:math> <mml:mrow> <mml:mi mathvariant='script'>P</mml:mi> <mml:mi mathvariant='script'>T</mml:mi> </mml:mrow> </mml:math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="ctp_70_3_303_ieqn1.gif"/></inline-formula>-Antisymmetry on One-Dimensional Atomic Optical Lattices<xref rid="ctp_70_3_303fn1" ref-type="fn">*</xref><fn id="ctp_70_3_303fn1"><label>*</label><p>Support from National Basic Research Program of China under Grant No. 2014CB921403, National Natural Science Foundation of China under Grant Nos. 11534002, U1730449 and U1530401</p></fn>

Universal Pseudo-

P T

-Antisymmetry on One-Dimensional Atomic Optical Lattices**

Support from National Basic Research Program of China under Grant No. 2014CB921403, National Natural Science Foundation of China under Grant Nos. 11534002, U1730449 and U1530401

Wang Xin^{1, †}, Sun Chang-Pu^{1, 2}

(Color online) The pseudo- P T -antisymmetry of χ_p(z) under condition of Eq. (18). (a) The real part of probe susceptibility Re[χ_p] for N configuration as function of z, with x axis in unit of z/a. (b) The imaginary part of probe susceptibility Im[χ_p] for N configuration as function of z, with x axis in unit of z/a. Here we set z₀ = 0 and A = 1 MHz in Δ_d = A sin[2π(z − z₀)/a], Ω_c = Ω_d = 5 MHz, Ω_p = 0.06 MHz, and Γ₃₁ = Γ₃₂ = Γ₄₁ = Γ₄₂ = 3 MHz. We take σ = 0.2a in Gaussian distribution function of Eq. (17).