- #1

BillKet

- 312

- 29

$$E_{\mathrm{Stark}} = \frac{\Omega^2\omega}{2(\omega^2-\omega_0^2)}$$

where ##\Omega## is the Rabi frequency of the field between ##E_2## and ##E_3## and ##\omega = E_3-E_2##. In our limit this becomes:

$$E_{\mathrm{Stark}} = \frac{\Omega^2}{2\omega}$$

So the ##E_2## levels gets pushed down (towards the ##E_1##) by this amount. So the resonant frequency in this case will appear to be at:

$$\omega_0-\frac{\Omega^2}{2\omega}$$

Is this right (at least to first order in perturbation theory as the 2 pair of levels are treated independently)? Thank you!