No. Employment is at will. They can let you go today and you can leave today. If you give two weeks notice, you will be paid for those two weeks. If they let you go on that day, you will get two weeks paid leave, effectively. Most Pharma companies let you go on day 1, especially if you are going to another Pharma company. However, recent history has shown that The Small One exerts his massive power by making you work those two weeks. Of course, no one knows if you are actually working or double dipping. He may talk ethics, but who is he to talk? You do not owe them anything, just as they don't owe you.