In a small bowl, whisk together the extra virgin olive oil, minced rosemary, thyme, minced garlic, sea salt, and black pepper.
Rub the herb mixture evenly over both sides of the lamb chops and let them marinate at room temperature for 15 minutes.
While the lamb marinates, combine the Greek yogurt, chopped mint, lemon juice, and lemon zest in a small bowl to create the sauce.
Preheat a grill or cast-iron grill pan over medium-high heat until it is smoking slightly.
Place the lamb chops on the grill and cook for 3 to 4 minutes per side for medium-rare, or until they reach an internal temperature of 135 degrees Fahrenheit.
During the last 4 minutes of grilling the lamb, place the asparagus spears on the grill and cook until tender-crisp and lightly charred.
Remove the lamb and asparagus from the heat and let the meat rest for 5 minutes before serving with a dollop of the mint yogurt sauce.