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Time dependence of a magnetization under a time dependent magnetic field in systems with quantum fluctuations is studied by a direct numerical method. In particular, the time evolution of a system under a reversing field is investigated. Even a system has metastability, system can relax to the stable state when the field changes slowly enough. The process is found to be understood through the Landau-Zener mechanism. The change of the state from a metastable state is discussed in the light of quantum tunneling.
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Seiji Miyashita (1995) studied this question.
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