Abstract

The (unitary and nonunitary) dynamics of quantum systems, and the correlations of multipartite systems, beginning with two-level systems and introduction of the Bloch sphere are considered. Absorption and dispersion of light by a medium of two-level atoms, and Doppler cooling and optical trapping of atoms are treated, and Ramsey fringe spectroscopy are introduced. Correlation and entanglement of two-level systems, three-level systems and higher dimensional systems are considered. Stimulated Raman adiabatic passage, and other three-level system phenomena are described. Wave packet dynamics in an external potential and dynamics of systems with time-dependent Hamiltonians are treated. Finally, optimal control theory for quantum systems to determine how to control the parameters of a Hamiltonian that can vary with time to obtain a desired final state of the system are considered.

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