Heat 1 tablespoon of olive oil in a skillet over medium-high heat.
Rub 1 tablespoon oil on all sides of lamb chops.
Stir together sumac, thyme, and salt and pepper to taste, and rub equal amounts onto each chop, all sides.
Cook chops in the skillet, 3-4 minutes per side. Remove and let rest.
Mix together pomegranate arils, onion, and parsley. Serve with lamb.
Notes
You can buy packaged pomegranate arils, or whole pomegranate. I find lightly hitting the pomegranate on the counter a few times before cutting it open helps release the arils more easily.