Place the sliced ribeye in the freezer for 20 minutes prior to slicing to ensure thin cuts across the grain.
Heat 1 tablespoon of olive oil in a large skillet over medium-high heat.
Add the onions, bell peppers, and mushrooms to the skillet. Sauté for 5-7 minutes until vegetables are softened and slightly caramelized.
Remove the vegetables from the skillet and set aside.
Add the remaining 1 tablespoon of olive oil to the same skillet. Add the sliced beef in a single layer, seasoning with salt and pepper.
Sear the beef for 2-3 minutes until browned and cooked through. Add the minced garlic and cook for an additional 30 seconds.
Return the sautéed vegetables to the skillet and toss with the beef to combine.
Lay the provolone cheese slices over the top of the beef and vegetable mixture. Cover the skillet with a lid for 1 minute or until the cheese is fully melted.
Portion the mixture into four bowls and serve immediately.