My wife received some paperwhites as a Christmas gift, and decided to pot them in soil in a draining pot. They were placed in an east-facing exposure, and they sprouted and grew _very_ quickly. In fact, before flowering they'd reached over 24" tall, and quickly became too weak to stand on their own. I've discovered in my reading online that this is a common problem, and have some suggestions at what to do the next time around.

My question now is what we should do with the already-sprouted bulbs? Do we cut them off while still green and try again, or do we need to let them die back first?