@article{1c25e5376db14be5b712a93c3bbbfc5b,
title = "Optimal control of the inversion of two spins in Nuclear Magnetic Resonance",
abstract = "We investigate the optimal control of the inversion of two spin 1/2 particles in Nuclear Magnetic Resonance. The two spins, which differ by their resonance offset, are controlled by the same radio frequency magnetic field. Using the Pontryagin Maximum Principle, we compute the optimal control sequence which allows to reach the target state in a given time, while minimizing the energy of the magnetic field. A comparison with the time-optimal solution for bounded control amplitude realizing the same control in the same time is made. An experimental illustration is done using techniques of Nuclear Magnetic Resonance.",
keywords = "Nuclear Magnetic Resonance, Optimal control theory, Spin inversion",
author = "E. Ass{\'e}mat and L. Attar and Penouilh, {M. J.} and M. Picquet and A. Tabard and Y. Zhang and Glaser, {S. J.} and D. Sugny",
note = "Funding Information: This paper is dedicated to the memory of our colleague B. Hanquet. S.J.G. acknowledges support from the DFG ( GI 203/6-1 ), SFB 631. S.J.G. thanks the Fonds der Chemischen Industrie. D.S., M.P. and A.T. acknowledge support from the PEPS INSIS Optimal control of spin dynamics in Nuclear Magnetic Resonance Imaging. M.J.P., A.T. and M.P. thank the CNRS , the FEDER and the Burgundy Council ( PARI SMT 7 ) for financial support of the PACSMUB platform.",
year = "2012",
month = sep,
day = "11",
doi = "10.1016/j.chemphys.2012.06.013",
language = "English",
volume = "405",
pages = "71--75",
journal = "Chemical Physics",
issn = "0301-0104",
publisher = "Elsevier B.V.",
}