You can also see the long distance connection between Padme and Anakin in the scene just before he leaves the temple to save Palpatine. She appears to looking at him in the temple as he's thinking about Palpatine's words about saving Padme's life.
I really liked that scene. Very powerful. It does hint at a more psychic, or Force-based connection between Anakin and Padmé.
Plus Williams' music is haunting.