Current algebra for a generalized two-site Bose-Hubbard model

Resumo

We present a current algebra for a generalized two-site Bose-Hubbard model and use it to get
the quantum dynamics of the currents. For different choices of the Hamiltonian parameters we get
different currents dynamics. We generalize the Heisenberg equation of motion to write the n-th time
derivative of any operator.