Team 3 code for Charles Adam's Atomic and Molecular Interactions Grad course 2018
Calculate real trap depths for the Cs 133 6s groundstate and Rydberg states.
The dipole potential is U = - E = -1/2 Re[a] |E|^2 for expectation of the dipole operator applied electric field E and polarizability a
We must find the atomic properties that give the polarizability for a given atomic state as a function of wavelength. This will then be used to plot the potential as a function of position.
in the far off resonance limit the detuning is much greater than the natural linewidth and we can approximate a = - D0^2 / hbar / Delta for detuning Delta and dipole matrix element D0. in the case of the Rydberg state there must be a sum over the contributions from all relevant transitions.