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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 <>
Submitted on : Thursday, December 5, 2019 - 2:38:58 PM
Last modification on : Friday, April 10, 2020 - 5:20:08 PM
Long-term archiving on: : Friday, March 6, 2020 - 4:22:32 PM

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  • HAL Id : hal-02385244, version 2
  • ARXIV : 1911.12994

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Ivan Beschastnyi, Ugo Boscain, Mario Sigalotti. An obstruction to small-time controllability of the bilinear Schrödinger equation. 2019. ⟨hal-02385244v2⟩

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