Using a sleep tracker for the past year, one discovery has been that on days I practice reduced caloric intake (usually twice a week), my deep sleep increases and my average heart rate drops. Perhaps dedicated fasters have assembled even more such data? I keep expecting the connection between calorie restriction and better sleep to be explored in research, but have not seen any to date.
I've seen a similar trend in my experience as well. I'd love to see some peer reviewed research on the link between intermittent fasting and deeper sleep.