Applications of Quantum Control and Dynamics
Domenico D’Alessandro · 2021
This chapter discusses some practical applications of quantum control and dynamics. It focuses on more practical aspects in the areas of nuclear magnetic resonance and control of molecular and atomic systems. The chapter discusses a possible implementation of quantum information processing, namely the one with trapped ions. It shows how, changing the physical set-up, it is possible to create different Hamiltonians. The motion of the electrons around the nucleus creates a magnetic field which opposes the constant external magnetic field. This magnetic field will be different according to the environment of the nucleus under consideration and the chemical bonds with the neighboring nuclei. It will result in a change in the Larmor frequency which is called chemical shift. The Larmor frequency is always proportional to the external field in the z direction, but the proportionality constant changes because of the chemical shift.