Soroush,
Since I started Atkins' Dieting in mid-1970's, the only artificial sweeteners then were saccharin and cyclamates, in most sugar-free products and sodas.
Cyclamates were outlawed soon after in the USA, they were superior in taste and for cooking/baking. I can get them from Canada where it is sold under Sugar Twin brand, which in the USA is saccharin. Cyclamates may be allowed again in the USA soon, the concern was cancer. Subsequent testing showing cancer is not an issue. Same concern for saccharin.
While artificial chemicals, these were the best for diabetics and for Atkins Dieting. as they did not cause insulin release. Possibly cyclamates were outlawed to creat a market for....
... Nutrasweet/Aspartame,initially made by Monsanto Corp. It is an brain excitotoxin like MSG and the first time I used it, I became very sick, muscle aches, headache. Much controversy as may have been pushed through US FDA for financial gains, bypassing various scrutiny. Most sugar free products switched to it and I couldn't use them. Even a stick of gum with aspartame gives me a brain ache.
Then came Splenda/Sucralose, which is not liver friendly for me, some products using it actually raise my blood sugar due to my liver detox issues. The company was forced to change their advertising from "It tastes like sugar because it's made from sugar" since it is a chemical, not naturally derivied. This replaced aspartame in many products. I feel strange when eating too much of it and try to avoid it.
Then came Aceslufium K, never had a noticeabloe negative reaction to it, in many products blended with Splenda, rarely used alone in products.
Then introduced were various sugar alcohols, xylitol - billed as good for dental health, maltitol - most common now in sugar free products like ice cream, and blended with others, considered good for diabetics
http://en.wikipedia.org/wiki/Maltitol, erythritol - mixed with stevia in Truvia and other products, considered good for diabetics and dental health
http://en.wikipedia.org/wiki/Erythritol, lactitol. Each has their reasons for use, primarily to imitate look, feel and sensation of sucrose. Generally, too much sugar alchols brings you out of ketosis and not best for strict Atkins dieting. Also various laxative effects from some with too much use, Sorbitol, used a-lot in commercial baking is reknown for that. So is mannitol. Sugar alcohols can be naturally plant derived or chemically manufactured.
Stevia, I find the herb (green powder) not agreeable but the chemical extract of it (white powder) OK.
Personally, I don't add any sugar replacements to drinks, I like unsweetened ice tea, coffee, etc. When I bake a cheesecake, I use saccahrin, xylitol, cyclamates mostly, sometimes stevia extract, usually blended. Using only saccarhin or cyclamates makes it taste too chemical.
For Thanksgiving, since easy to get fresh cranberries, I've been making lots of cranberry orange relish, a good way to eat tons of raw cranberries, considered a superfood.
Mix cranberries, orange juice and/or zest and/or orange slices, cinnamon, pink himalayan salt or sea salt, lemon juice in blender, no cooking needed, that keeps it raw and vegan.
I like tart so add no to little xylitol or saccharin/cyclamate. For guests, I'll add organic sugar to sweeten it up. Cranberries are also super beneficial on the D'Adamo blood type diet for type B and the lowest in carbs vs pineapple and watemelon also super beneficial.
If I want diet soda, only those from fountains and fast food use saccharin. Bottles, cans use aspartame. So, diet Coke from McDonalds, 7-11, etc. is OK.
Posted here in the past, Agave syrup, is billed as LOW glycemic, but it is refined, like HFCS, and every product I've used that has it raises my blood sugar noticeably.
Unfortunately, in the health food industry, it is replacing brown rice syrup and other sweeteners since it is being marketed as "healthy" the way soy was marketed.
My favorite Rice Dream frozen changed their formula when they went organic and added it, now I can't use it much. Brown rice syrup, while a carb, is derived from a starch, so metabolizes slower causing less blood sugar spikes. Agave acts like HFCS and is becoming another health food scam as it infiltrates various products.
Susan