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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, November 28, 2019 - 4:50:32 PM
Last modification on : Thursday, March 26, 2020 - 9:28:26 PM
Long-term archiving on: : Saturday, February 29, 2020 - 6:43:25 PM

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  • HAL Id : hal-02385244, version 1
  • 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-02385244v1⟩

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