Creating a Tarte Tatin involves several steps, but with careful attention and patience, you’ll achieve a flawless result. Here’s how to make it:

Step 1: Prepare the Apples

1. Peel the apples and cut them into quarters, removing the core and seeds.
2. Toss the apple quarters with lemon juice to prevent browning and enhance flavor.

Step 2: Make the Caramel

1. In a heavy-bottomed oven-safe skillet, melt the butter over medium heat.
2. Add the sugar and stir until it dissolves and forms a golden caramel. This should take about 8-10 minutes.
3. Stir in the vanilla extract and a pinch of salt, then remove the skillet from heat.

Step 3: Arrange the Apples

1. Carefully arrange the apple quarters in the skillet, rounded side down, in a circular pattern. Make sure they fit snugly.
2. Return the skillet to medium heat and cook the apples for about 15 minutes, basting them occasionally with the caramel.

Step 4: Prepare the Puff Pastry

1. While the apples are cooking, preheat your oven to 375°F (190°C).
2. Roll out the puff pastry on a lightly floured surface to fit the diameter of your skillet.
3. Carefully place the pastry over the apples, tucking the edges around them.

Step 5: Bake the Tarte Tatin

1. Transfer the skillet to the preheated oven and bake for 25-30 minutes, or until the pastry is golden brown and puffed.
2. Remove the skillet from the oven and let it cool for a few minutes.

Step 6: Serve

1. Carefully invert the tart onto a serving plate, allowing the caramel to drizzle over the apples.
2. Serve warm, perhaps with a scoop of vanilla ice cream or a dollop of whipped cream.