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arXiv · 1911.12994

An obstruction to small-time controllability of the bilinear Schr{\"o}dinger equation

Ivan Beschastnyi·Ugo Boscain·Mario Sigalotti
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Abstract

In this article we discuss which controllability properties of classical Hamiltonian systems are preserved after quantization. We discuss some necessary and some sufficient conditions for small-time controllability of classical systems and quantum systems using the WKB method. In particular, we investigate the conjecture that if the classical system is not small-time controllable, then the corresponding quantum system is not small-time controllable either.

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Ivan Beschastnyi, Ugo Boscain, Mario Sigalotti. 2019-11-29. An obstruction to small-time controllability of the bilinear Schr{\"o}dinger equation. https://doi.org/10.1063/5.0003524

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