I overwinter mine in the ground. They are going dormant right now and need to have the unsightly stalks cut back to the ground. Mine don't re-appear until it's warm again in the spring.I don't think they need light during dormancy, but I do water occasionally since they are in a bed with other plants.

Pam

I leave mine inground also. They emerge each spring ready to go.

Mine are in a pot right now. Should I put them outside to go dormant, or just cut them back, and put them in a storage box w/ some soil/peat mix for the winter?

I can't answer that for you from experience, but I would just leave them in the container or repot them if that is what you plan to do, and put the container somewhere it will not be affected by freezing temps.

My butterfly ginger is in the ground now, but for several years it grew in a container that I moved into the garage in winter. Usually I gave it a few sips of water over the dormant time, but just enough to keep it alive. It was an attached garage and got pretty cold but stayed above freezing. Do you have a slightly larger pot or a bucket? You could slide the broken pot inside to hold it together and keep the roots protected.
Good luck!

Annie at the Transplantable Rose