The key to the Back To Eden Method" is to place a covering on the land vs. tilling it up and leaving it exposed to the elements.
This covering creates a natural barrier to weeds topside and retains moisture on the flip side. Each time it rains, a "compost tea" from the covering (woodchips, grass clippings, shredded leaves, etc.) is leached into the soil that over time will create a nutrient-dense, pH balanced, loose soil.
Check out the collection below for videos, mainly from the inspiring leader of the Back To Eden movement - Paul Gauche.