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We consider a Bose-Einstein condensate that is illuminated by a short resonant light pulse that coherently couples two internal states of the atoms. We show that the subsequent time evolution prepares the atoms in an interesting entangled state called a spin-squeezed state. This evolution is analyzed in detail by developing a Bogoliubov theory that describes the entanglement of the atoms. Our calculation is a consistent expansion in 1/√N, where N is the number of particles in the condensate, and our theory predicts that it is possible to produce spin-squeezing by at least a factor of 1/√N. Within the Bogoliubov approximation this result is independent of temperature.
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Anders S. Sørensen (2002) studied this question.
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