State transfer for closed quantum systems with dipole and polari...

In this paper, the state transfer problem of finite dimensional closed quantum systems with dipole and polarizability coupling in non-ideal cases is investigated. The non-ideal cases are considered where the internal Hamiltonian of the system is not strongly regular and not all the eigenvectors of the internal Hamiltonian are directly coupled with the target state. Both cases are closely related to practical systems such as the one-dimensional oscillator. A class of Lyapunov functions are first