Peel and chop apples into 1" bite size pieces.
Put apples in a medium bowl and refrigerate until ready to use.
Place sugar and water into a saucepan over medium low heat and stir until sugar has dissolved. Dissolve any crystals forming on the side with a wet pastry brush.
Once sugar has dissolved increase heat to high.
At this point do not stir the mixture directly. Now and then, using the saucepan handle, give the pot a swirl to keep the mixture moving. The mixture will start to bubble after a minute or so.
After 3-4 minutes the mixture will turn from a light amber to medium amber and then finally to a dark reddish brown color. Once the mixture starts to smoke, add the butter and heavy cream. The mixture will bubble wildly. Whisk to combine.
Add half of the caramel to the the apples and mix until mix until all the apples are completely coated in the caramel.
Place individual pie crusts on a baking sheet lined with parchment paper. Fill each individual pie crust with a heaping amount of apples, then add a small amount of caramel on top (use 1/2 of remaining caramel).