Finely mince the garlic, fresh rosemary, and fresh thyme.
In a small bowl, combine half of the olive oil with the minced garlic, rosemary, thyme, sea salt, and black pepper.
Rub the herb mixture evenly over both sides of the lamb loin chops and let them sit at room temperature for 15 minutes.
Trim the woody ends off the asparagus and toss the spears with the remaining olive oil and a pinch of salt.
Preheat your grill or grill pan to medium-high heat.
Place the lamb chops on the grill and cook for 4 to 5 minutes per side, or until they reach an internal temperature of 135°F for medium-rare.
While the lamb is cooking, place the asparagus on the grill and cook for 3 to 5 minutes, turning occasionally until tender and lightly charred.
Remove the lamb and asparagus from the grill and let the meat rest for 5 minutes.
Squeeze the fresh lemon juice over the lamb and asparagus just before serving.