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41149180091
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note
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In fact, we have examined the behavior of the coherence of the atomic subsystem, as t is varied from the regime t κ to the (unrealistic) regime t κ. It is found that strong t enhances the coherence of the atomic subsystem.
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25
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41149158597
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note
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The divergence of τmax on the two sides is reasonable. If the pump is far from all possible resonances, the influence of the pump on the system is negligible, so it would take the system a time experimentally inaccessible to reach the steady state. In fact, since at steady state the atomic subsystem is highly decoherent [see Fig. 4], it is natural to expect that τmax is larger than the τmn 's, which diverge as Δ4 as Δ→±.
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41149144143
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note
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In the M -site case (M/2), the basis of the atomic space is { | | m1, m2,..., mM | i=1 M mi =N, mi 0 }. The term Hint = (i=1 M Ji ni) U0 a† a. As for Eq. 15, we can decompose the total density matrix ρ in this atomic basis, and subsequent procedures and results ensue.
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