I've always just lowered the pickups; the cause is usually the pull of the magnets acting on the strings and changing the way that they vibrate.
If the issue is ghost vibrations from the springs in the rear cavity, I've seen lots of people wrap their springs in foam of out a scrunchy around them to deaden the springs.
If the issue is ghost vibrations from the springs in the rear cavity, I've seen lots of people wrap their springs in foam of out a scrunchy around them to deaden the springs.