The verb evoke most commonly means to bring a feeling, memory, or picture into the mind. When you visit your old elementary school, the smells, sounds, and colors there can evoke memories from the past.
Similarly, a certain reaction can be evoked by words or actions, as in "His comments evoked anger in the community." A near synonym is elicit, as in "No matter how many different ways the detective questioned the suspect, he could not elicit any response. Evoke was borrowed from Latin evocare, from the prefix e- "out," plus vocare "to call."