Let's say I have chosen the valence electron of Yb+ as my qubit. I want to consider it's hyperfine structure as the two-level energy states.
Are my following assumptions correct?
If the magnetic moment of the electron is parallel to that of the nucleus, then the potential energy will be minimum
If the magnetic moment of the electron is anti-parallel to the nucleus, then the PE will be maximum
I can use a circularly polarized laser to create Rabi oscillations (should it be always circularly polarized light? why can't I use a linearly polarized laser)
Now, given this exact scenario, what will be the Hamiltonian of the electron so that I can solve for the SE?