The Atkins Plan is a low carb diet. If you go to their website you will see great meal plans and ideas of what exactly you can eat on a low carb diet. You don't have to follow the rules of The Atkins plan to live low-carb - it is geared for people that want to lose weight. But you can see what is acceptable to eat and form your own plan from there.
Suzan J

Here is a link that might be useful: Atkins

Again, this is an older post. Anyone still looking for info, this is for you. Meat/cheese/eggs/nuts/seeds/many vegetables are the essential building blocks when eating low carb. Berries in limited quantities are low-sugar, as far as fruits go. Avoid wheat products (like breads/crackers/breaded products, etc.), white sugar, brown sugar, natural sugars (like agave and honey), rice, and potatoes.

Whole wheat/high fiber products are fine IMO.

True it's an older post but someone might come along & read it. Said topic is still alive & well.

Whole wheat processed into flour is still high carb and turns to sugar instantly in the mouth. However, whole wheat grains like farro are fine. You should also avoid soda pop even with artificial sweeteners. There is evidence that artificial sweeteners are as bad or even worse than sugar. And juice of any sort is out as is beer. It's liquid carbs straight down without any fiber to slow down the insulin spike. If you like orange juice, eat the whole orange.