Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Trim the woody ends from the asparagus spears and place them on the prepared baking sheet.
Drizzle the asparagus with half of the olive oil and sprinkle with half of the sea salt and black pepper.
Finely mince the garlic cloves, rosemary, and thyme, then combine them in a small bowl.
Rub the garlic-herb mixture onto both sides of the lamb chops and season with the remaining sea salt and black pepper.
Heat a cast-iron skillet over medium-high heat with the remaining olive oil until shimmering.
Sear the lamb chops for 3 to 4 minutes per side for medium-rare, or until a savory golden-brown crust has formed.
While the lamb is searing, place the asparagus in the oven and roast for 8 to 10 minutes until tender but still vibrant.
Allow the lamb chops to rest for 5 minutes before serving alongside the roasted asparagus with a fresh drizzle of lemon juice.