PAM (only treat the enclosure, and make sure it's totally dry before putting the animal back in!) will kill all mites. Nothing kills eggs, but PAM will last in the enclosure long enough to kill any mites that hatch from existing eggs!

So, within a matter of a day or two, you should see no mites, and they'll be gone for good.

Just be sure to treat any other nearby enclosures, and spray a strip around the doorway if it's a quarantine room.