I was reading thisthis, where it is mentioned that some quantum theories can have no classical limit or even more than one classical limit.
A possible example might be quantum spin, which doesn't have a classical analog. What is the precise condition (does it arise solely on imposing $\hbar \to 0$, which I am not able to see for quantum spin) that determines the number of classical limits of a quantum system?
What are some other examples of this, especially of systems having more than one classical limit.