This one should be fairly easy! As an example, on your lunch or whatever, go get a slice of pizza. As an ice breaker, next time she smiles at you you could say something like "So is smiling a part of your job description or do you just like smiling at me?" - play it off as a joke, but it should evoke a response anyway. Always try to prepare for whatever outcome:
- "Yeah it is"
-- Act hurt from here, something like "Aww, and there was me thinking I was special".
-- "So everyone gets that smile and not just me? Damn!"
- "Not everyone/not a part of job description"
-- You've just broke the ice and got an IOI. Follow up with a chat routine, flow into your mid game. Ask her if she goes out often/where she goes, does she fancy going out sometime. I'm somewhat new to the game - depending on your approach you may not want to seem TOO eager, but I've always found a bit of interest doesn't hurt either. Try to avoid getting dropped into the friend zone though, as it's always hard to break out.
I'd wait for a few more responses, as I said I'm fairly new to the game and some of the PUA's here might say my advice is wrong!
