Solving time-dependent problems in quantum optics and quantum information

Louisiana State University, Baton Rouge LA

Investigators

Abstract

The research is concerned with the development and application of a new method to solve time-dependent problems in quantum mechanics. The approach is based on the existence of a closed Lie algebra for certain Hamiltonian systems. Under such conditions, the time development of the system can be reduced to solving a relatively simple set of differential equations. The benefit of this method is that for the systems to which it can be applied, it offers a simple approach to the dynamics which is also applicable to open systems.