Divide the ground beef into 4 loosely formed balls, about 4 oz each. Do not pack tightly.
Heat a large skillet or griddle over high heat until very hot, about 3-5 minutes.
Mix the burger sauce ingredients together in a small bowl and set aside.
Place a beef ball on the hot skillet and immediately press flat with a sturdy spatula until thin and wide, with ragged edges.
Season the top with salt and pepper. Cook undisturbed for about 2 minutes until deeply browned.
Flip, top with a slice of cheese, and cook 1-2 minutes more until the cheese melts and the patty is cooked through.
Toast the buns in the same skillet with the butter until golden.
Assemble each burger with sauce, lettuce, tomato, pickles, and the cheesy patty.