In a small bowl, whisk together the extra virgin olive oil, minced garlic, chopped rosemary, thyme, sea salt, and black pepper to create the marinade.
Place the lamb loin chops in a shallow dish and coat them thoroughly with the herb mixture; allow them to marinate at room temperature for at least 15 minutes.
Preheat your grill or a heavy grill pan over medium-high heat until it is hot.
Trim the woody ends off the asparagus and toss the spears with any remaining marinade or a light drizzle of oil.
Place the lamb chops on the grill and cook for 4 to 5 minutes per side for medium-rare, or until they reach your desired level of doneness.
During the last 5 minutes of the lamb's cooking time, add the asparagus to the grill, turning occasionally until they are tender and show light char marks.
Remove the lamb and asparagus from the heat; let the lamb rest for 5 minutes to lock in the juices.
Squeeze the fresh lemon juice over the lamb and asparagus just before serving.