Carrot Pudding Souffle

Name: Carrot Pudding Souffle
Ingredients: Ingredients:; 1/2 cup (1 stick) unsalted butter, plus more for ramekins; 1 small shallot, thinly sliced (about ¼ cup); 2 pounds medium carrots, peeled and cut into ½-inch pieces; 1 bay leaf; Coarse salt; 1 cup heavy cream, plus more if needed for reheating souffles; 6 tablespoons all-purpose flour; 2 1/2 cups whole milk; 1/4 teaspoon freshly grated nutmeg; 1/4 teaspoon ground ginger; Freshly ground pepper; 6 large egg yolks plus 4 large egg whites