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

DOI10.1063/5.0003524zbMath1461.81025arXiv1911.12994OpenAlexW3136948670WikidataQ125774626 ScholiaQ125774626MaRDI QIDQ5859110

Mario Sigalotti, Ivan Beschastnyi, Ugo V. Boscain

Publication date: 15 April 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12994

Mathematics Subject Classification ID

Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Quantum control (81Q93) Canonical quantization (81S08)

Related Items (2)

Local controllability of the bilinear 1D Schrödinger equation with simultaneous estimates ⋮ Small-time bilinear control of Schrödinger equations with application to rotating linear molecules

Cites Work

• Periodic differential operators
• Minimal time for the bilinear control of Schrödinger equations
• Controllability of the discrete-spectrum Schrödinger equation driven by an external field
• How violent are fast controls? II
• A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule
• An estimation of the controllability time for single-input systems on compact Lie Groups
• Generic Controllability Properties for the Bilinear Schrödinger Equation
• Controllability for Distributed Bilinear Systems
• Minimal time for the approximate bilinear control of Schrödinger equations
• Anatomy of Quantum Chaotic Eigenstates
• Controllability of Quantum Harmonic Oscillators
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