What is the gravity? If your yeast reached bedrock (more in a moment) and you are not adding any more fermentables then there is really no need to stabilize with K-sorbate. Adding K-meta (the active ingredient of Campden tabs) will inhibit oxidation and so allows your mead to age gracefully.
The problem is that a finished gravity of 1.000 means that in fact there is some residual sugar in the mead. "How come?", you ask. "Water has a gravity of 1.000 so a mead with a gravity of 1.000 has no sugar".
Not so. The gravity (density) of alcohol is lower than 1.000 so if there is any alcohol in your mead (and there ought to be) then alcohol + water should have a gravity below 1.000. And in fact it is possible for a mead to end with a gravity lower than 1.000. That does not mean that all the sugars are in fact easily fermentable. They may not be and the yeast may not ferment them for a year or two... But the yeast can and they often do... so unless the gravity is about .980 - .960 you MAY want to stabilize the mead.