Optomechanical state transfer between two distant membranes in the presence of non-Markovian environments<xref rid="cpb_27_12_120302fn1" ref-type="fn">*</xref><fn id="cpb_27_12_120302fn1"><label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11704205, 11704026, 21773131, and 11574167), China Postdoctoral Science Foundation (Grant No. 2018M632437), the Natural Science Foundation of Ningbo City (Grant No. 2018A610199), and K C Wong Magna Fund in Ningbo University, China.</p></fn>

Optomechanical state transfer between two distant membranes in the presence of non-Markovian environments**

Project supported by the National Natural Science Foundation of China (Grant Nos. 11704205, 11704026, 21773131, and 11574167), China Postdoctoral Science Foundation (Grant No. 2018M632437), the Natural Science Foundation of Ningbo City (Grant No. 2018A610199), and K C Wong Magna Fund in Ningbo University, China.

Cheng Jiong^{1, †}, Liang Xian-Ting¹, Zhang Wen-Zhao², Duan Xiangmei^{1, ‡}

(color online) The dynamical evolution of . The non-Markovian regime is denoted by “N”, while the Markovian regime is denoted by “M”. We choose Δ = ω_m, G = 0.5ω_m, J = 0.258ω_m, the optical decay rate κ = J_c(ω_c)/2≈2.5×10^–3ω_m, and the mechanical decay rate γ_m = J_m(ω_m)/2≈ 9.4×10^–4ω_m. The other parameters are η_c = 10^–4, s_c = 1, , C = 3 × 10⁻⁴, k = –2.3, ω_min = 885 kHz, and ω_max = 945 kHz.