Discussion on Maximally Entangled States of Two Coupled Two-Level Particles by Coherent State Approximation

We analyse the best condition for generating the maximally entangled states of the system containing two coupled two-level particles by the coherent approximation method beyond rotating wave approximation. It is found that the maximally entangled states are obtained when the detuning v and the strength Ω of driving laser satisfy the condition v/Ω= 2.5. The maximum average probability of entangled state pamax（v, Ω） has the best stability relying on v and Ω when vu ≈2Ω.