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How can we have two independent parameters (physically) during Rabi Oscillations happening in Rydberg Atoms?

Rabi Oscillations are explained as electric interaction between atom and EM field, here. This can be true for any two-level system with specific interactions that can lead to the Hamiltonian given in ...
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Why is EIT needed to story memory using rydberg atoms?

I was going through a paper explaining how the write-in and read-out efficiencies can be increased using cold atoms where they used Rydberg atoms, and mentioned that they were probed using EIT(...