Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 4(330), p. 327-332
DOI: 10.1016/s0764-4442(00)00152-x
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We present in this Note exact controllability results for quantum systems interacting with lasers. A negative result for infinite-dimensional spaces serves as a starting point for a finite-dimensional analysis. We show that under physically reasonable hypothesis in such systems we can control the population of the eigenstates. Applications are given for a five-level system.