The very first thing I do when I arrive in New Orleans is walk to Jean Lafitte’s Olde Absinthe House and order a Sazerac. And the very last thing I do when I leave New Orleans is to drink one last Sazerac at the Absinthe House. Sazerac rye whiskey½ oz. This is a perfect dive bar Sazerac, simply for the economy of effort. Sazerac Rye Whiskey: I’m pretty sure that the Absinthe House uses a cheaper rye.