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We note that originally this equation was obtained by using the semiclassical approach. The presented quantum derivation due to closely follows the original semiclassical argumentation.
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We note that originally this equation was obtained by using the semiclassical approach. The presented quantum derivation due to closely follows the original semiclassical argumentation.
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note
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In practice, infinite temperature means kB T J.
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15
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0036877283
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We note, in passing, that one gets the same relaxation term for an atom in an optical lattice in the presence of spontaneous emission [A. R. Kolovsky, A. V. Ponomarev, and H. J. Korsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.053405 66, 053405 (2002)]. In this case, γ=Γ (ΩR /δ) 2, where ΩR is the Rabi frequency, δ is the detuning of the laser frequency from selected atomic transition, and Γ is the natural width of the selected transition.
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