Science fictional scenarios where one person's memories and personality is put into the brain of another, and vice versa, are often described as "mind swaps". But that's a tendentious description. What has been moved over seems more like the states of the minds.
But even the states of the minds do not seem to have been moved over. Suppose I have two knives, one bent and one straight. I straighten the bent knife and then bend the straight knife to be just like the bent knife was. Did I move transfer the state from one knife to another? Not in the literal sense. The bent state of knife A ceased to exist and knife B came to have a state of bentness exactly similar to the one that knife A used to have.