Are there any effects on the atmosphere comparable with ebb and flood of the oceans?
Yes, they are called atmospheric tides. They can be caused by the gravitational effect of the moon on the atmosphere (lunar tides) and also differential solar heating (thermal tides). I believe you are asking about the former which is much weaker than the latter.

You can find more about it here: https://www.springer.com/us/book/9789027726308
and https://physics.stackexchange.com/questions/201973/are-there-tides-in-the-atmosphere