Radio-frequency pulse sequences, with time varying amplitude, frequency, phases and duration are used as actuators to control the dynamics of nuclear spins in Nuclear Magnetic Resonance (NMR) spectroscopy. In this talk, we introduce some control problems that arise in manipulation of spin dynamics in NMR spectroscopy and describe some engineering challenges in the these experiments, ranging from optimal to robust control. A fundamental problem in the field of coherent spectroscopy is to find the minimum time it takes to produce a desired Unitary propagator in a coupled spin system and the pulse sequence that produces this propagator. Another challenge is finding how close can a quantum system be steered to a desired final state in presence of decoherence losses and what is the maximum coherence/polarization that can be transferred between coupled spins. Steering quantum dynamics in presence of parametric inhomogeneities is another interesting class of problems we will overview in this talk.
Navin Khaneja received his PhD in 2000, from Harvard University. Since 2001, he has served on faculty at Harvard University. He is recipient of NSF career award, Sloan fellowship and Bessel Award of Humboldt Foundation. His research interest lie at interface of control and NMR spectroscopy. He is currently a visiting faculty in Electrical Engineering at IIT Bombay.