Arsenal took the lead in the first half through their club captain and he got the second goal during the second period.
Here is what David Luiz said after the game.
Arsenal defender David Luiz speaking to BT Sport: "It was a great result against one of the best teams in the world. We were humble, we understood the way we had to play and we took the opportunities to score.
"We have to be mature, to understand what level we are in the process. We have an amazing coach but we can't go from 0 to 100. We are improving. The spirit was great and I'm happy for the team because they deserve it.
"All the team defended, it is not just the last line. Everybody has to fight and play every ball 100%. It's part of the process. We could do more of this in the game so it would maybe be easier.
"The other team is miles away in front of us but we were humble so when we play we can hurt the opponent and we did that."
On the criticism he has received recently: "It is part of the football. I understood that football is about surviving. Every day you are going to defend the odd thing.
"I was working hard every single day after my mistakes. I was humble to work more and to work more for the team.
"We have a final to play this season and we will try and win a title for this club because this club deserves to win a trophy."
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