We present the results of a full diagonalisation applied to a 1 D quantum spin system with on-site exchange anisotropy. The model considered is a quantum generalization of the 1 D classical Blume-Capel model. Thermodynamic properties of the system in the presence of magnetic field are examined taking into account a quantum spin ladder with a periodic boundary condition, where each rung of the ladder contains two interacting spins -1/2. This effective spin -1 system exhibits very rich thermodynamic behaviour. We present the ground state results, showing many various types of magnetic configurations and compare it with the classical case. The calculations are performed in the unified simulation environment ALPS, which offers the fulldiag application.
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