How to Prepare the Lamb:1. Preheat the oven to 400 F. Heat olive oil in a cast-iron skillet until it just begins to smoke.
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2. Season the loin with salt and pepper and sear on all sides until golden brown. Place the pan in the oven and finish cooking until the internal temperature reaches 140 F on a meat thermometer for medium-rare.
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3. Remove the lamb to a platter and let sit covered for 10 minutes. Place the onions in the pan and place in the oven to roast for 10 minutes.
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4. Wrap the pita in aluminum foil and place in the oven for 5 minutes to warm.Slice the lamb on the bias into thin slices.
How to Prepare the Sauce:1. Place the yogurt in a strainer lined with cheesecloth or a coffee filter and place over a bowl and let drain for 1 hour.
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2. Discard the liquid in the bowl. Place the drained yogurt in a clean bowl and add the garlic, mint, lemon juice, lemon zest, and salt and pepper to taste.