If you need somewhere to contemplate leaving your lover, go alone, and if you don't mind them not being there to share something sublime in a glass or a dish, you have your answer.
It's always good to check out what's happening in Fondation Cartier. They have lots of really good exhibitions of modern art, and the gallery itself is very beautiful. Perfect for seeing works you already know as well as discovering new artists and inspirations.
Chez Jeanette is a cool bar to hang out in located on the same street where I have lived since I was two years old. Many trendy young people hang out here everyday where one can listen to good music whilst sipping nice drinks.