I have tried the keeping in touch thing and IMO it does not work. If you still love her, you will still harbor the hope you can get back together.
In actual fact I think you are more likely to get back together if you don't keep in contact. at the moment , she has the best of both worlds. Speaking with you and being with the other chap. If she does not have any contact with you , she may once again realise what it was about you she loved and want you back.
But hey - everyone is different. Go and enjoy yourself doing something you would not have been able to do before.
Good luck and as everyone will tel you , time is the best healer (and Stella of course )