Plenty of butter and a little water to gently poach lobster at medium heat and NEVER to a boil. Serve poached lobster tails right from the pan with fresh sliced lemons. In a saucepan, bring 2-3 tbs. of water to a simmer over medium heat. Whisk in 1 tbs. butter, when butter melts add another piece.
Learn how to butter poach lobster at home. Butter poached lobster is done by removing the meat from the lobster and gently cooking in melted butter at a gentle simmer and never a boil. Butter poach lobster cooks the lobster meat slowly and gently so as not to make the meat tough.
The original Butter Poached Lobster Tail recipe is by Chef Thomas Keller. The recipe below is my adaptation of a combination of several recipes from different sources, with my minor changes.
Buy cold water lobster tails. I like to use smaller tails for this recipe, about 4 ounces each. They tend to be less expensive than larger ones, and it looks nice to serve two per person. See the section below for more information on sourcing.