companies in the US no longer DESEVE 2 weeks notice. the rules are no longer valid; they won't give YOU notice. don't give them any courtesy they won't give you.
Fact is, while I sure don't have personal relationships with companies, they are full of people that a) I have a working history with, b) can be references for future employment and c) may hire me again (or I may seek to hire them). It's not for the company that you give 2 weeks, it's for your coworkers. And you can, theoretically, just notice the folks who will be impacted by your departure and not your employer, but that's not really workable.
Pretending like you walking out on your coworkers is anything but antisocial is naive. Sure, some coworkers and managers are not going to care because your bridges are already burned, but personally, I've found most of my jobs through people I know and I've helped quite a few folks I know get gigs through connections.
In fact, I really prefer, when I depart, to try to find a replacement for myself - usually someone I know is looking for a gig, and my former employer is glad to get a recommendation from someone they trust.