Put the water on to boil.
In a large skillet or sauté pan, sauté the cubes of bacon in olive oil until lightly browned and crispy around the edges.
Sprinkle the bacon with the spices and give them a turn.
When the spices give off their fragrance, add the tomato and give everything another turn. Simmer over gentle heat until the tomato has reduced to a saucy consistency.
Add the heavy cream, stir it into the tomato and let that, too, reduce a bit. Add the grated cheeses and mix everything together until the cheese melts completely and have a creamy, velvety sauce. Taste and adjust for seasoning.
Meanwhile, salt the water well and throw in the pasta. Cook until al dente.
Transfer the pasta to the pan with the sauce and mix well over medium heat, adding a bit of pasta water if needed, until the pasta is well napped with the rich, perfectly velvety sauce.
Serve right away.