Quasideterministic Generation of Entangled Atoms in a Cavity

We present a scheme to generate a maximally entangled state of two three-level atoms in a cavity. The success or failure of the generation of the desired entangled state can be determined by detecting the polarization of the photon leaking out of the cavity. With the use of an automatic feedback, the success probability of the scheme can be made to approach unity.

Figure 1

Experimental scheme. WP represents a quater wave plate, PBS denotes a polarization beam splitter and $D_1$ and $D_2$ are detectors. If a photon incident on the quarter wave plate is left- (right-)circularly polarized, then it is detected by $D_1$ ($D_2$).

Figure 2

Probability to obtain the entangled state as a function of $g_R/\kappa$ and $g_L/\kappa$.

Figure 3

$(F=3)$ hyperfine levels of cesium. $R$ and $L$ indicate that the two levels connected by the arrow are coupled by right- and left-circularly polarized light, respectively.