Experimental Hamiltonian Identification for Qubits subject to Multiple   Independent Control Mechanisms
  We consider a qubit subject to various independent control mechanisms and present a general strategy to identify both the internal Hamiltonian and the interaction Hamiltonian for each control mechanism, relying only on a single, fixed readout process such as $\sigma_z$ measurements. 
Sonia G. Schirmer, Daniel K. L. Oi, Avinash Kolli and Jared H. Cole