Squeezed number eigenstate of XYZ Heisenberg antiferromagnetics under an magnetic field

By using an algebraic diagonalization method, the XYZ Heisenberg antiferromagnetics under an external magnetic field is studied in the framework of spin-wave theory. The energy eigenstates are shown to be squeezed number states and the energy eigenvalues are obtained in some cases. Some quantum properties of the energy eigenstates, and the connection of the model with the two-mode coupled harmonic oscillators are also discussed.