Removing an atmosphere from a previously-habitable world

Alien AI DoomFleet has a mission: Destroy threats to their creator. They do this by detecting the signature of FTL drives, going to the system, and blowing everything up, up to and including the homeworld.

For thematic purposes, I want the worlds to be stripped of their atmosphere. I'm not sure where to even start with this. "Simply" bombarding with explosives, even anti-matter explosives, seems like it would take far too long to be worthwhile.

So my question is: How do you go about removing the atmosphere from a planet? I'm not particularly interested in what would happen afterward, as that is pretty well discussed in this question/answer - I'm looking specifically for mechanisms to remove the atmosphere. Preferably fairly quickly.

Notes: Time, while not extremely restricted, is not unlimited. We can't necessarily park something in orbit and wait several years. There's other planets to be exterminated, as the DoomFleet's FTL is relatively slow. Additionally, we want to strip the atmosphere and be done with it. We're eliminating threats, not establishing beachheads, so we don't want to worry about maintenance and the like.

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Removing an atmosphere from a previously-habitable world

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