Influence of initial conditions on squeezing and anti-bunching in the Jaynes-Cummings model

We have carried out a detailed investigation of squeezing and anti-bunching in the Jaynes-Cummings model, thereby extending the earlier work of Meystre and Zubairy [Phys. Lett. 89 A (1982) 390]. Analytic criteria are formulated relating the initial states of atom and field to the tendency of the field to undergo squeezing or anti-bunching when the atom enters the cavity. Some interesting connections are established between atomic squeezing and field squeezing/anti-bunching. Using the initial conditions suggested by our criteria, we explore the generation of non-classical states of the cavity field. The relationship of our work to other recent work on squeezing and anti-bunching in the Jaynes-Cummings model is discussed.