We discuss in detail statistical mechanical properties of quantum dynamics with the use of numerical simulations of isolated one-dimensional spin systems of various sizes. With respect to the energy distribution in a subsystem, a good agreement is observed between those obtained by the method of statistical mechanics and via long-time average over simulation, even in the system composed of a small number of spins. In particular, the distribution of energy forms the canonical distribution.
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Saito et al. (1996) studied this question.
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