# Navin Khaneja

## Professor of Systems and Control Ph.D. 2000 Harvard University curriculum vita (10/22)

My current research is focussed on problems at the interface of physics and control. A fundamental problem in coherent spectroscopy and quantum information science is to find limits on how close can an open quantum dynamical system be driven to a target state in the presence of dissipation and decoherence and what is the optimal excitation that achieves this objective. We are studying these problems in the context of design of multidimensional NMR experiments that maximize the efficiency of transfer of coherence between coupled spins in the presence of decoherence and optimize the sensitivity of these experiments. Other projects include development of novel radio frequency pulse sequences for time optimal control of coupled spin systems with applications in spectroscopy and quantum informaion processing. Problems in robust control of spin systems, that are immune to parametric inhomogeneties in system dynamics. In recent years, we have also worked in development of new methods in high resolution nuclear magnetic resonance spectroscopy in solution and solids. The work has an important collaborative experimental component. Some past projects involve feedback stabilization of nonholonomic systems and problems in machine intelligence and statistical inference.

### Selected Publications:

Sreya Das, Justin Jacob, Navin Khaneja, Mechanism of chirp excitation'' Journal of Magnetic Resonance Open , Volumes 10-11, 100026, (2022).

S. Sarkar, R. Purusottam, A. Kumar and N. Khaneja, Chirp pulse sequences for broadband $\pi$ rotation'' Joural of Magnetic Resonance 328, 107002 (2021)

N. Khaneja, "Time Optimal Control of Coupled Spin Dynamics: A global analysis " Automatica 111, 108639 (2020).

N. Khaneja, "Double swept band selective excitation" Global Journal of researches in Engineering:F Vol 19, Issue 2, Version 1.0 (2019).

N. Khaneja, "Magnetic resonance with number states vs coherent states" International Journal of modern Physics B (2018) https://doi.org/10.1142/S0217979218503368

N. Khaneja, "Convexity, Majorization and Time Optimal Control of Coupled Spin Dynamics" Applied Modern Control Intech, Open (2018) https://cdn.intechopen.com/pdfs/63378.pdf

N. Khaneja, "Conservation of Energy, Density of States and Spin Lattice relaxation" Concepts in Magnetic Resonance: Part A (2018); 46A:e21457.

N. Khaneja, "Chirp Mixing" Chemical Physics Letters 704, 62-67 (2018)

N. Khaneja, "Electron dynamics in solid state via time varying wavevectors" Physica B 539, 29-34 (2018).

N. Khaneja, "Chirp excitation" Journal of Magnetic Resonance 282, 32-36 (2017).

N. Khaneja and A. Kumar, "Two Pulse Recoupling" Journal of Magnetic Resonance 281, 162-171 (2017).

N. Khaneja and A. Kumar, "Broadband excitation by method of double sweep", Applied Magnetic Resonance 48(8), 771-782 (2017).

N. Khaneja "Rf-inhomogeneity compensation using method of Fourier synthesis" Journal of Magnetic Resonance, 277, 113-116 (2017).

N. Khaneja "Cone separation, quadratic control systems and control of spin dynamics in presence of decoherence", Phil. Tran. R. Soc. A , 375, (2017).

N. Khaneja and A. Kumar, "Four Pulse Recoupling" Journal of Magnetic Resonance 272, 158-165 (2016).

N. Khaneja and A. Kumar, "Recoupling Pulse Sequences with Constant Phase Increments" Journal of Magnetic Resonance 271, 75-82 (2016).

Van Koroleva and N. Khaneja "Homonuclear decoupling for liquid-state NMR" Journal of Chemical Physics, 137, 094103 (2012).

H. Arthnari, G. Wagner and N. Khaneja "`Heteronuclear Decoupling by Multiple Rotating Frame Technique" Journal of Magnetic Resonance, 209, 8-18 (2011).

N. Khaneja and N.C. Nielsen "Triple oscillating field technique for accurate measurement of internuclear distances by solid state NMR spectroscopy" Journal of Chemical Physics, 128, 015103 (2008).

N. Khaneja "Switched Control of Electron Nuclear Spin Systems " Phys. Rev. A , 76, 032326 (2007) .

N. Khaneja, C. Kehlet, S.J. Glaser and N.C. Nielsen " Composite dipolar recoupling: Anisotropy compensated coherence transfer in solid-state nuclear magnetic resonance " Journal of Chemical Physics vol. 124, 114503 (2006).

J.S. Li and N. Khaneja " Control of inhomogeneous quantum ensembles" Phys. Rev. A. 73, 030302 (2006).

N. Khaneja, J.S. Li, C. Kehlet, B. Luy, S.J. Glaser " Broadband Relaxation Optimized Polarization Transfer in Magnetic Resonance,"Proceedings of National Academy of Sciences, USA vol. 101, 14742-14747, (2004).
N. Khaneja, B.Luy, S.J. Glaser " Boundary of Quantum Evolution under Decoherence,"Proceedings of National Academy of Sciences, USA vol. 100, no. 23, 13162-13166, (2003).

N. Khaneja, B. Luy, T. Reiss, S.J. Glaser " Optimal Control of Spin Dynamics in the Presence of Relaxation," Journal of Magnetic Resonance 162 : 311-319 (2003).

### Physics and Control Handouts:

Course Logistics (1/18) Chapter 1 (1/18) Chapter 2 (2/18) Chapter 3 (2/18) Chapter 4 (3/18)

### Quantum Control Handouts:

Course Logistics (7/18) Chapter 1 (7/18) Chapter 2 (7/18) Chapter 3 (7/18) Chapter 4 (7/18)

### Solid State Systems and Control

Course Logistics (7/19) Basics (7/19) BOOK (1/19) Homework (7/19)

### System Theory

Course Logistics (7/19) chapter 1 (7/19) chapter 2 (7/19)

BOOK (7/19)

### High energy physics and systems

BOOK (7/19)

To Systems and Control