ANALYSIS OF THE MASTER EQUATION FOR THE DICKE-MODEL IN SQUEEZED VACUA

The master equation for the reduced atomic density operator for the Di cke model (N-a 2-level atoms on the same single site) interacting with a broad-band squeezed vacuum state held is derived using operator rea ction field theory. The analysis through reaction field theory is pres ented first of all for the normal vacuum and then for the squeezed vac uum, both within the Markov and Born approximations. In the case of th e squeezed vacuum field a statistical decorrelation between matter and field variables is also necessarily adopted in order to close the sys tem of equations: this is also the case for the broad-band black-body field, and the theory contrasts with that which employs projection ope rator techniques and uses weak coupling. Models involving a both axial ly symmetrical and wholly isotropic distribution of the squeezed vacuu m modes are compared.