SU(2) and SU(1,1) time-dependent coherence-preserving Hamiltonians and generation of antibunched radiation in laser-plasma scattering

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Abstract
In this work we discuss the problems underlying the time evolution of states driven by SU(2) and SU(1,1) coherence-preserving Hamiltonians, using the Wei-Norman algebraic procedure. We also solve the problem of finding the explicit time evolution of a quantum system whose Hamiltonian is a time-dependent linear combination of the SU(1,1) group generators and those of the Weyl-Heisenberg algebra. The relevance of this Hamiltonian to the generation of antibunched radiation in a laser-plasma scattering experiment is also briefly analyzed.
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