Heat the olive oil in a large pot over medium heat. Add the diced onion, chopped poblano peppers, and diced jalapeño. Sauté until soft, about 5 minutes.
Add the minced garlic and cook for 1 minute, stirring often.
Stir in the cumin, coriander, and chili powder. Cook for 30 seconds until fragrant.
Add the green chilies, white beans, salt, pepper, and chicken broth. Stir to combine.
Place the chicken breasts into the liquid. Bring to a boil.
Reduce heat to low. Cover and simmer for 20 minutes, until the chicken is cooked through.
Remove the chicken to a cutting board. Shred with two forks.
Return the shredded chicken to the pot. Stir and simmer another 5 minutes.
Remove from heat. Stir in the chopped cilantro.
Serve hot with sour cream, shredded Monterey Jack cheese, tortilla chips, and lime wedges.
Notes
Seed the jalapeño for less heat. Leave the seeds in for more.
Poach the chicken whole in the broth. Shred with two forks.
Cilantro goes in before serving so it stays fresh.
Serve with sour cream, shredded Monterey Jack, tortilla chips, and lime wedges.
Keeps up to 4 days in the fridge. Freezes up to 3 months.