Mince the garlic and finely chop the fresh rosemary and thyme leaves.
In a small mixing bowl, whisk together the extra virgin olive oil, lemon juice, minced garlic, rosemary, thyme, sea salt, and black pepper.
Place the lamb loin chops in a shallow glass dish and pour the herb marinade over them, turning to coat each side thoroughly; let marinate at room temperature for 20 minutes.
Preheat your grill or a heavy-duty grill pan over medium-high heat.
Snap off the woody ends of the asparagus spears and lightly toss them with any excess marinade from the lamb dish.
Place the lamb chops on the hot grill and cook for 4 to 5 minutes per side for medium-rare, or until the internal temperature reaches 145°F.
During the last 4 minutes of grilling the lamb, add the asparagus spears to the grill, turning occasionally until they are tender and show light char marks.
Transfer the lamb chops to a warm plate and let them rest for 5 minutes before serving to allow the juices to redistribute.