Dice half the onion, celery and carrot into large pieces, place in a 6 quart or larger saucepan or stock pot with the bay leaf, peppercorns and 3 quarts of water and bring to a boil.
Fine dice remaining onion, celery and carrot.
Heat the pan and olive oil over medium heat and saute the onion, celery and carrot until translucent, add garlic and saute a bit more.
Add water, chili powder, cumin and white beans and cook until beans are done, about 45 minutes.
Rough chop lobster and add to pot.
Finish with cream and cilantro and season with salt and pepper.