The grassy square in the middle of Slubice, a Polish town on the German border, is known locally as "the Bermuda Triangle." Most mornings, but particularly on Tuesdays and Thursdays when traffic across the frontier is heavy and the guards are busy, crowds of hopeful immigrants from Eastern Europe creep out of the woods and doorways where they have spent the night. Men, women and children straggle into the square to rendezvous with their "tour guides," the smugglers who will help them disappear into the West -- for fees ranging from $50 to $200.
In another village 20 miles away, Polish...