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Study on Dynamics of N Level System of Atom by Laser Fields TeX Export

(21 Apr 2006)

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This paper is an extension of Fujii et al (<a href="/abs/quant--ph/0307066">quant--ph/0307066</a>) and in this one we again treat a model of atom with n energy levels interacting with n(n-1)/2 external laser fields, which is a natural extension of usual two level system. Then the rotating wave approximation (RWA) is assumed from the beginning. To solve the Schr ödinger equation we set the consistency condition in our terminology and reduce it to a matrix equation with symmetric matrix $Q$ consisting of coupling constants. However, to calculate $\exp(-itQ)$ explicitly is not easy. In the case of three and four level systems we determine it in a complete manner, so our model in these levels becomes realistic. In last, we make a comment on Cavity QED quantum computation based on three energy levels of atoms as a forthcoming target.


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