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arXiv · 1412.3913

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

Elie Assémat·Thomas Chambrion·Dominique Sugny
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Abstract

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.

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Elie Assémat, Thomas Chambrion, Dominique Sugny. 2014-12-12. On the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space. https://doi.org/10.1007/s10910-014-0429-7

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