Time-optimal polarization transfer from an electron spin to a nuclear spin

Abstract

Polarization transfers from an electron spin to a nuclear spin are essential for various physical tasks, such as dynamic nuclear polarization in nuclear magnetic resonance and quantum state transformations on hybrid electron-nuclear spin systems. We present time-optimal schemes for electron-nuclear polarization transfers which improve on conventional approaches and will have wide applications.

11 pages, 8 figures

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• Bang-Bang Optimal Control of Large Spin Systems: Enhancement of ${}^{13}$C-${}^{13}$C Singlet-Order at Natural Abundance
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Deciding finiteness of bosonic dynamics with tunable interactions