Salmon Chowder with Dill

Name: Salmon Chowder with Dill
Ingredients: 3 cups bottled clam juice or low-sodium chicken broth; 1 pound red-skinned potatoes, diced; 2 carrots, thinly sliced; 2 stalks celery, thinly sliced; 1/2 white onion, diced; 2 cloves garlic, minced; 12 sprigs dill, plus chopped leaves for topping; 12 sprigs parsley; 6 sprigs thyme; 2 bay leaves; 1 wide strip lemon zest; 1 pound salmon fillet (preferably wild), skin removed, cut into 4 pieces; Kosher salt and freshly ground pepper; 1/2 cup heavy cream; Chopped fresh chives, for topping