Steady-state linear optical properties and Kerr nonlinear optical response of a four-level quantum dot with phonon-assisted transition

She Yan-Chao^{1, 2, †,}, Luo Ting-Ting², Zhang Wei-Xi¹, Ran Mao-Wu¹, Wang Deng-Long^{2, ‡,}

Absorption (amplification) spectra of the probe field versus the detuningΔ_pwith different Rabi energy of the control fieldsΩ_aandΩ_b: (a)Ω_a=Ω_b= 1.5 meV, (b)Ω_a= 1.0 meV andΩ_b= 1.5 meV, (c)Ω_a= 1.5 meV andΩ_b= 1.0 meV. Other parameters used are shown in the text.