01 - Bring a large pot of salted water to a boil. Cook lobsters for 8 to 10 minutes, then transfer to an ice bath. Remove meat from tails, claws, and knuckles; chop into bite-sized pieces. Reserve shells for stock.
02 - Melt butter in a large saucepan over medium heat. Add onion, carrot, celery, and garlic, sautéing until softened, approximately 5 minutes.
03 - Stir in tomato paste and cook for 2 minutes until slightly caramelized.
04 - Add reserved lobster shells, bay leaf, paprika, and optional cayenne pepper. Pour in sherry and simmer for 2 minutes, scraping browned bits from the pan.
05 - Add seafood stock and bring to a boil. Reduce heat and simmer uncovered for 25 minutes to develop flavor.
06 - Remove and discard lobster shells and bay leaf. Puree the soup base until smooth using an immersion blender or regular blender in batches.
07 - Return the pureed soup to the pot, stir in heavy cream, and season with salt and pepper. Gently incorporate chopped lobster meat and simmer for 3 to 5 minutes until heated through.
08 - Ladle the bisque into bowls. Garnish with chopped chives or parsley and a squeeze of lemon.