Pat the lamb chops thoroughly dry with paper towels to ensure optimal Maillard reaction during searing.
In a small mixing bowl, combine 1 tablespoon of olive oil, minced garlic, rosemary, thyme, salt, and pepper to form a paste.
Rub the herb paste evenly over both sides of each lamb chop.
Heat the remaining 1 tablespoon of olive oil in a large cast-iron skillet over medium-high heat until the oil reaches its smoke point.
Place the lamb chops in the skillet, ensuring they are not crowded, and sear undisturbed for 3 to 4 minutes to develop a golden-brown crust.
Flip the chops and continue cooking for 3 minutes for medium-rare (internal temperature of 145°F/63°C).
During the final 2 minutes of cooking, add the butter to the skillet; once melted, tilt the pan and use a spoon to continuously baste the chops with the herb butter.
Remove the lamb chops from the skillet and transfer to a cutting board or warm plate to rest for 5 minutes before serving.