Superposition states antisymmetric state preparation

While the above process is of great scientific interest, practically speaking we usually want to separate a racemic mixture of the B and B enantiomers, that is, our typical initial state is a racemate. If we were to use the scenario of Section 8.2 to accomplish this separation one would have first to prepare the BAB adduct in a pure state. Since the preparation of fire BAB adduct, and especially its separation from the BAB and B AB adducts that would inevitably accompany its preparation, is not a trivial task, it is preferable to find control methods that could separate the B and B racemic mixture directly. In this section we outline a method that can achieve this much more ambitious task. The essential principles of this method remain the same as in Section 8.2, that is, excitation of a superposition of symmetric and antisymmetric states with respect to ah, the reflection operation. 

In the section IV.B.2, we have shown that two nonidentical two-level atoms can be prepared in an arbitrary superposition of the maximally entangled antisymmetric state a) and the ground state g)... 

Similar to the fluorescence intensity distribution, the visibility can provide us an information about the internal state of the system. When the system is prepared in the antisymmetric state or in a superposition of the antisymmetric and the ground states, p55 = pee = 0, and then the visibility has the optimum negative value V = — 1. On the other hand, when the system is prepared in the symmetric state or in a linear superposition of the symmetric and ground states, the visibility has the maximum positive value "V - 1. 

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