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An obstruction to small-time controllability of the bilinear Schrödinger equation

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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https://hal.inria.fr/hal-02385244
Contributor : Mario Sigalotti Connect in order to contact the contributor
Submitted on : Thursday, December 5, 2019 - 2:38:58 PM
Last modification on : Friday, July 8, 2022 - 10:04:31 AM
Long-term archiving on: : Friday, March 6, 2020 - 4:22:32 PM

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Ivan Beschastnyi, Ugo Boscain, Mario Sigalotti. An obstruction to small-time controllability of the bilinear Schrödinger equation. Journal of Mathematical Physics, 2021, 62, ⟨10.1063/5.0003524⟩. ⟨hal-02385244v2⟩

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