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OnestoneFringe

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However, we have now an ensemble of atoms with different detuning which shows a gaussian distribution. How does one consider this in the calculation?

I guess the gaussian distribution of the detuning affects our second matrix but I don't know how.

If anyone has any suggestions or ideas how to tackle this problem, I would be very grateful!

(my problem originates from a german exercise (5.3) if this may be helpful: http://www.quantum.physik.uni-mainz.de/Dateien/__lectures__2006__ws0607_atomphysik__Uebungsblatt05.pdf)

Cheers!