Following their 6-0 win at West Ham last week Arsenal were soon among the goals again, captain Martin Odegaard opening the scoring on four minutes with a crisp strike into the bottom corner after Gabriel Martinelli’s pass.
Bukayo Saka converted from the spot to double the lead after Lorenz Assignon fouled Leandro Trossard in the box.
“We are in a good moment, we have won all of the games so far so it feels good,” Havertz said after the match.
“Behind that was hard work and there are many hard games to come. We have to continue the hard work.”
England forward Saka got his second just after the restart as Arsenal kept up the pace, latching on to a clever Odegaard pass then cutting inside and rifling a shot into the roof of the net.
Havertz’s scuffed effort was blocked in the box but Trossard was alert to curl in for his third goal in as many league games.
Jakub Kiwior’s long throw down the line then found an unmarked Havertz, who ghosted in behind the defence and drilled past home goalkeeper James Trafford to complete a comprehensive win for the Gunners.
Arsenal, who have 21 goals in five straight wins, move two points behind leaders Liverpool, while Burnley remain in the relegation zone.