posthypnotic suggestion

from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun A suggestion made to a hypnotized person that specifies an action to be performed after awakening, often in response to a cue.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun A suggestion, given to a hypnotized person, to perform some action after awakening, especially in response to a cue.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• noun a suggestion that is made to a person who is hypnotized that specifies an action he will perform (usually in response to a cue) after he has awakened