Atomic squeezing in assembly of two two-level atoms interacting with a single mode coherent radiation

Saito and Ueda [ Phys. Rev. A 59, 3959 ( 1999)] studied atomic and radiation squeezing in interaction of a single mode coherent state vertical bar alpha > of radiation with two excited two- level atoms, using the Jaynes Cummings Hamiltonian. They considered a real and studied squeezing of the Dicke operator S-x using the Kitagawa-Ueda criterion for squeezing and coupling times less than or nearly equal to vertical bar alpha vertical bar(-1). We obtain results to all orders in coupling time for atoms, which are initially in ( i) fully excited, ( ii) superradiant or in ( iii) ground states and obtain more general results. We use our recently reported criterion for atomic squeezing, of which the Kitagawa- Ueda criterion is a special case, and obtain a much stronger ( nearly 95%) atomic squeezing than that ( nearly 1.1%) reported by Saito and Ueda.