2010/07/20 by E. Assemat, Elie Assémat, M. Lapert +6
Chemistry · Mathematics · Medicine · Physics and Astronomy · #Advanced MRI Techniques and Applications #Advanced NMR Techniques and Applications #Algorithm #Computer science #Condensed matter physics #Frame (networking) #Geology #Inversion (geology) #Laser-Matter Interactions and Applications #Magnetic field #Mathematical optimization #Mathematics #Nuclear magnetic resonance #Optimal control #Physics #Pulse sequence #Quantum mechanics #Spin (aerodynamics) #Spins #Thermodynamics #quant-ph
paper · pdf · doi:10.1103/physreva.82.013415
published as Physical Review A 82, 013415 (2010) · 13 pages, 3 figures
openalex publication_date 2010/07/20 · arxiv created 2010/09/06 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We analyze the simultaneous time-optimal control of two-spin systems. The two noncoupled spins, which differ in the value of their chemical offsets, are controlled by the same magnetic fields. Using an appropriate rotating frame, we restrict the study to the case of opposite shifts. We then show that the optimal solution of the inversion problem in a rotating frame is composed of a pulse sequence of maximum intensity and is similar to the optimal solution for inverting only one spin by using a nonresonant control field in the laboratory frame. An example is implemented experimentally using nuclear magnetic resonance techniques.