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N Level System with RWA and Analytical Solutions Revisited

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arxiv quant-ph/0307066 v2 pith:XC4OZWW5 submitted 2003-07-09 quant-ph

Kazuyuki Fujii , Kyoko Higashida , Ryosuke Kato , Yukako Wada (Yokohama City University) This is my paper · ORCID
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keywords levelsystemanalyticalcasemodelsolutionsapproximationassume
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In this paper we consider a model of an atom with n energy levels interacting with n(n-1)/2 external (laser) fields which is a natural extension of two level system, and assume the rotating wave approximation (RWA) from the beginning. We revisit some construction of analytical solutions (which correspond to Rabi oscillations) of the model in the general case and examine it in detail in the case of three level system.

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    Cascaded programmable waveguide arrays with strictly positive, nearest-neighbor couplings can approximate any unitary matrix to arbitrary precision, with error decreasing as the number of sections grows.

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