Abstract
The entanglement of the internal states in ensembles of Λ atoms under coherent population trapping has been considered. The entanglement conditions for the pairs and triples of atoms have been derived in the form of inequalities for the correlation functions of the resonant optical field amplitudes. The fulfillment of these conditions requires the nonclassicality (the absence of positive definiteness) of the probability distribution of the amplitudes.
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For the positive definite P function, i.e., in the classical case, the inequalities opposite to (11) follow from the condition <|α±|2(x|α∓|2 + |α±|2)2>cl ≥ 0 for any real x value.
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Original Russian Text © L.V. Il’ichev, 2009, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 90, No. 12, pp. 869–872.
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Il’ichev, L.V. Entanglement of Λ atoms under coherent population trapping. Jetp Lett. 90, 771–774 (2010). https://doi.org/10.1134/S0021364009240084
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DOI: https://doi.org/10.1134/S0021364009240084