Heat olive oil in large cast-iron skillet until medium-hot.
Set chops in the pan, and leave them alone. Otherwise, you will tear the herbs off. Cook each side until golden brown. Lower the heat if necessary. approximately 4 minutes each side.
Cover the pan with a tight fitting lid. Turn the heat off. Let sit for 10-12 minutes. If the chops are less than 1 inch thick, reduce time to 6-8 minutes.
While chops are cooking, add olive oil to a small non-stick skillet and begin sautéing mushrooms. Sprinkle with salt and pepper, and add the garlic. When mushrooms begin to wilt, add wine. You are not trying to cook the mushrooms completely, just start the process.
Remove chops to serving platter, cover to keep warm.
Add mushrooms and cooking liquid to the pan the chops were cooking in, turn heat to medium-high. Stir up any brown bits from the bottom of the pan. Allow mushrooms to finish cooking.
Add heavy cream, and simmer until reduced by half.
You may return chops to the pan to reheat, or pour sauce over chops.
Serve with your favorite green vegetable, and enjoy!