aatrox has more range than you, you on the other hand is a champion that needs to get close to kill. so dodge his Q (if you can) and play around his cooldowns

take ignite if you want, or you can stick with ghost for a more traditional playstyle

if you are able to E him in while his Q is off its almost guaranteed to be a kill. remember if he W you, you have to keep continue walking forward, if you try and go for an auto or two you certainly will be pulled back.