A trap in the Caro-Kann Defense, Exchange Variation

I found this trap in Amatzia Avni's excellent book Danger in Chess: How to Avoid Making Blunders. The identical trap can arise by transposition from other openings, such as the London System (1.d4 d5 2.Bf4). The winning idea is sufficiently unusual that most White players missed it - ChessBase shows that in the position after Black's 12th move, only 5 out of 31 players found the winning move! All six masters and experts that reached the position played 13.Nxe5??, scoring only 3-3.