2003 Chevy Malibu Car almost dies when I hit the brake afte

The car drives great but when I hit the brake the rpms drop dramatically and the lights dim alot and it sounds like the car is going to die, but it keeps running. Occasionly the abs light will come on when the cars lights dim. I asked a bunch of people that know about cars and no one knows what it can be, I'm hoping you guys have a suggestion or two of what it can be.