On the controllability of bilinear quantum systems

  • Gabriel Turinici
Part of the Lecture Notes in Chemistry book series (LNC, volume 74)


We present in this paper 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.


Population Distribution Exact Controllability Population Transfer Transfer Graph Canonical Topology 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Gabriel Turinici
    • 1
  1. 1.ASCI-CNRS LaboratoryUniversité Paris SudOrsay CedexFrance

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