I would like to know which type of quantum states of a bosonic field, that have an explicit analytical expression as vectors/density matrices in a symmetric Fock space, can be prepared in an experimental setting, and then manipulated (e.g. an interaction can be turned on and they are evolved by the resulting dynamics).
I think that coherent states can be prepared via lasers (even if I know there is some debate on that), and I have been told (do you know any reference?) that states with a fixed number $n$ of photons (Fock sates) have also been recently realized. But what about more general, or simply different, states (e.g. twin Fock states, statistical mixtures, eigenvectors of operators (with discrete spectrum)...)?
I am interested in established results, and precise references would be greatly appreciated.