Does your coop have a floor (concrete, wood, vinyl, etc.)? Or does it sit on a dirt base?
For others reading, I ask because deep bedding (in a floored coop), is different from deep litter (in the run). To get the poop to compost down, it needs to have soil underneath. If you want compost, just periodically dump the bedding into a compost pile or (if you like) onto your run floor where it can catch some precipitation and start decomposing.
The flooring and ability to compost are what make the difference between deep bedding and deep litter.