%0 Journal Article %T Entanglement Entropies of Non-Equilibrium Finite-Spin Systems %A Koichi Nakagawa %J Physics %D 2014 %I arXiv %R 10.1093/ptep/ptv005 %X For the purpose of clarifying a new approach to understanding quantum entanglement using thermofield dynamics (TFD), entanglement entropies of non-equilibrium finite-spin systems are examined for both traditional and extended cases. The extended entanglement entropy, $\hat{S}$, is derived, and it is found that the conditions for the maximum entangled state can be obtained through this approach. The capacity of the TFD-based method to distinguish between states in quantum systems is confirmed. %U http://arxiv.org/abs/1410.6988v3