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On the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space

We analyze the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space and a discrete spectrum. Based on recent mathematical results, we rigorously show under which conditions such a system can be approximated in a finite dimensional Hilbert space. For a given threshold error, we estimate this finite dimension in terms of the used control field. As illustrative examples, we consider the cases of a rigid rotor and of a harmonic oscillator.

preprint2014arXivOpen access
Elie AssématThomas ChambrionDominique Sugny
math.OCquant-ph
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Elie AssématThomas ChambrionDominique Sugny

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