I'll throw in my two cents as someone who quit sugar in the past six months: I wasn't really free of the addiction until more than two weeks had gone by. Since then I lost 20 lbs without exercising and I just have these periodic moments in the day when I feel a huge surge of energy. After a couple months I cut my total carb intake to < 120g / day and increased my fat intake. Then I switched to a revolutionary new diet: Three meals a day. (No snacking / grazing.) Since adding these changes I've lost another five pounds and am steadily losing 1 - 2 lbs a month without any additional exercise.
Anyway, a week just annoyed the f outta me. I'd give it two or three weeks at least. It takes that long to cut the cravings I didn't even realize I was having.