Disentangling the Time-Evolution Operator of a Single Qubit
Marco Enríquez, Sara Cruz y Cruz · Journal of Physics Conference Series · 2017
We show that the time-evolution equation for a two-level system can be turned into a system of non-linear differential equations when it is written in the disentangled form. The solutions are determined by solving a parametric-oscillator-like equation with a certain time-dependent frequency. The formalism is used to deal with the problem of a two-level atom interacting with a circularly polarized field. The possibility of generating exactly solvable Hamiltonians is briefly discussed.