Antonyms: halt, quell, repress, silence, stifle, stop, suppress
http://www.answers.com/topic/evoke
Synonyms for evoke (it is a synonym for elicit)
Verb
1. arouse, elicit, enkindle, kindle, evoke, fire, raise, provoke, make, create
usage: call forth (emotions, feelings, and responses); "arouse pity"; "raise a smile"; "evoke sympathy"
2. provoke, evoke, call forth, kick up, cause, do, make
usage: call forth; "Her behavior provoked a quarrel between the couple"
3. educe, evoke, elicit, extract, draw out, interpret, construe, see
usage: deduce (a principle) or construe (a meaning); "We drew out some interesting linguistic data from the native informant"
4. raise, conjure, conjure up, invoke, evoke, stir, call down, arouse, bring up, put forward, call forth, make, create
usage: evoke or call forth, with or as if by magic; "raise the specter of unemployment"; "he conjured wild birds in the air"; "stir a disturbance"; "call down the spirits from the mountain"
5. suggest, evoke, paint a picture, express, show, evince
http://thesaurus.infoplease.com/evoke