In thermodynamics, the entropy $S$ can be used to determine various physical quantities, i.e. the free energy, the temperature etc.
If I calculate the entanglement entropy of a system, is there some analogous quantities that I can derive? Do I know anything more about the full system than I did before, having calculated the entanglement entropy of some sub-system? (Other than the amount of entanglement between the subsystems)
Conceptually, what do I know if I have calculated the EE?