Analytic solutions for a three-level system in a time-dependent field
arXiv:0912.4594 · doi:10.1016/j.physd.2010.11.003
Abstract
This paper generalizes some known solitary solutions of a time-dependent Hamiltonian in two ways: The time-dependent field can be an elliptic function, and the time evolution is obtained for a complete set of basis vectors. The latter makes it feasible to consider arbitrary initial conditions. The former makes it possible to observe a beating caused by the non-linearity of the driving field.
8 pages, 4 figures