Only requires two controllers.
Set up a game of Infiltration with no time limit and the default weapon set to Phase Beam.
Move your player to an open area in the middle of the map. Move player 2 there for 40 seconds, then move them into player 1's goal. Move player 2 to that same area again and wait there for 20 second before heading into the goal for a second time. Finally, move player 2 to that same area, where two Mimics should be waiting. Use player 1's phase beam to zap all three of player 2's characters.
Repeat 9 more times for the achievement.