Abstract
Realizable spin models are investigated in a superconducting flux qubit system. By adjusting system parameters, it is shown that various artificial spin systems can be realized such as the quantum Ising model and the class of $XXZ$ spin model in the same flux qubit system. The entanglement dynamics of the realizable systems, especially for the two-qubit system, is discussed by means of their concurrence and fidelity. It is found that an unentangled input state can evolve to be a maximally entangled output state periodically due to the exchange interactions induced by two-qubit flipping tunneling processes.
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