Place turkey in a medium bowl; add garlic, Worcestershire, tamari, thyme and pepper flakes. Mix well. Add half the beaten egg, discarding the rest. Add breadcrumbs and combine well. Form into 4 patties.
Heat oil in a large sauté pan over medium- high heat. Cook turkey patties about 5 minutes per side, until thoroughly cooked. Place cheese on burgers while cooking the second side. Place each on a ciabatta bun.