Chamomile tea is good, iced or hot, and is soothing to the stomach. Also some of the herbal teas like raspberry zinger. I also have reflux and Afib, and I take prevacid for that. I have regular water with a twist of lime or lemon and it's a little more exciting than plain water. I agree withMadge that the smaller meals help. It seems like everything good is bad for you! But I'd rather give up soda, choclate, carbonated drinks and caffeine than spend anymore time in Afib and in the hospital. It's just not worth it.
Since I have acid reflux, I had to give up carbonated drinks and also coffee, chocolate, mint, tomatoes, etc. I have less gas (and PVCs) now, especially if I also eat smaller meals. Even carbonated water would be a problem for many heartburn sufferers, as would any added citrus. Just thought I'd mention it. I drink one cup of decaf green tea a day, or else bush tea (rooibos or honeybush red tea) with added honey. Those don't bother my heart at all.
I know this is an old post but I thought I would comment. I have an alternative to soda that I drink that still feels like you are drinking soda but it's much healthier. Sparkling mineral water with a squeeze of fresh lemon or lime in it. You still get the bubbles but it's good for you :)
I once had a 15 hour episode of AFib, started when I drank half an orange soda and 2 pieces of chocolate. I think the carbonation overloaded my stomach and pushed against my heart. The caffeine in the chocolate didn't help. I don't know if your soda had caffeine, but that could be an issue too. I think you should check with your doctor.