Dissipative generation for steady-state entanglement of two transmons in circuit QED
He Shuang, Liu Dan, Li Ming-Hao
       

Level configuration and transitions in the dressed state picture, the microwave field Ω 2 causes resonant transitions among states | gg , 00 , | S , 00 , and | ff , 00 in null excitation subspace by choosing the frequency suitably, while microwave field Ω 1 causes resonant transitions forming the following four preparation channels: (a) | gg , 00 { | ϕ 3 , | ϕ 4 } with ω 1 = ω e J 2 + g 2 , (b) | gg , 00 { | ϕ 5 , | ϕ 6 } with ω 1 = ω e , (c) | S , 00 | ϕ 9 with ω 1 = ω e + J 2 + 4 g 2 / 2 J / 2 , and (d) | S , 00 | ϕ 10 with ω 1 = ω e J 2 + 4 g 2 / 2 J / 2 , respectively, but the transitions from | T , 00 to the states in the one excitation subspace is non-resonant. The notations ξ 1 and ξ 2 in the figure are defined as ξ 1 = J 2 + 4 g 2 / 2 - J / 2 and ξ 2 =- J 2 + 4 g 2 / 2 J / 2 .