Ovechkin gave the Capitals a 1-0 lead at 3:38 of the first period with a one-timer from the left circle on the power play and put Washington ahead 3-2 with the man-advantage at 6:15 of the second.
He is second in NHL history with 269 power-play goals, five behind Dave Andreychuk.
"I think he is getting some more looks, and that just comes down to helping each other, supporting," Carlson said of Ovechkin, who was not made available to the media. "I think our support has been a lot better, a lot more plays open and options for guys to move the puck around quickly."
The Capitals were 2-for-5 on the power play and are 13-for-36 (36.1 percent) in their past 11 games.
"We all know the importance of it," Carlson said. "At the end of the day, that's what means the most, and it seemed to carry us here through the last 10 or 12 games or so and we have to keep it clicking like it has been."
Ivan Provorov tied it 1-1 at 19:59 of the first, one-timing a pass from Claude Giroux for his 50th NHL goal.
Dmitry Orlov gave the Capitals a 2-1 lead 33 seconds into the second period.
"Scoring at the end of a period, in the last minute especially ... usually gives your team a boost, a push, and to the contrary they had the push," Vigneault said. "They controlled most of the second period there. We were second on everything, second on pucks, second on making plays, and they were the far better team tonight."