A.C. Stark effect relevant in ODT MOT superposition?

[MauriceZeuner]

I was wondering if the far detuned dipole beams of a FORT / ODT lead to an A.C. Stark shift of the optical transitions used for a MOT. For the example of a 1064nm dipole trap that is briefly superimposed with a red Sr-MOT, I tried to calculate the light shift according to 7.7 Foot (see PDF attached). As you can see, the result I get is pretty much zero but I'm confused by the sentence "Normally light shifts are most important at large frequency detuning [...]" in 7.7 Foot.

What do you think - is my rough estimation of the magnitude of the light shift correct in principle or have I missed something crucial in my approach? Does someone have practical experience with MOT-->ODT transitions and knows if that effect becomes relevant in real life?

Why I am needing this: I want to simulate MOT --> ODT transitions with AtomECS and I want to know if an a.c. Stark shift is something we'd have to implement for this to work correctly. Stark-shift_ODT.pdf

[ElliotB256]

I'm on holiday so I won't add more detail now - but I'll comment that 'shift' could refer to either a transition or the energy levels themselves. Large frequency detuning = dipole trap = large AC stark shift used to confine atoms. May or not produce a large shift in transition frequencies, depending on the shift of the ground and excited states.

[MauriceZeuner]

Thanks, important remark, I am aware of that... that's why I calculate \Delta \omega... but we can discuss that another time. So far, I wish you nice holidays. :)

[ElliotB256]

My current plan to implement this is using a CoolingTransitionStarkShift component, which will hold the susceptibility of the atom's cooling transition frequency to DipoleTrap light. This can then be accounted for when we add in doppler + zeeman shifts.

[ElliotB256]

https://github.com/TeamAtomECS/AtomECS/commit/05b893ad5a415b627d58114277656909bdfd369a

looks like I forgot about this!