Simulation of Rabi Flopping in a Two Level Atom using Finite Difference Method

Rabi flopping for a two level quantum system is simulated for different detuning frequencies.

The probabilities of a two level atom to be in one of the two levels can be described by a simple first order differential equation. By solving this differential equation using finite difference method, one can see oscillation of probabilities known as Rabi flopping. In this code such an oscillation is calculated for different detuning frequencies.
Reference: https://dl.dropboxusercontent.com/u/349151/2012-06-15_first_year_report_v1.pdf