量子エントロピー型カオス尺度を用いたスピン1/2系のカオスの解析

抄録

In order to study chaotic behaviors of dynamical systems, there are several concepts such as dynamical entropy, Liapunov exponent, fractal dimension, bifurcation and ergodic theory. One of the authors proposed information dynamics to treat several dynamical behaviours in a common standing point. A quantity measuring chaos of dynamical systems was defined by means of two complexities in information dynamics, and it is called chaos degree. In this paper, we apply to a model of spin systems under magnetic field. By using the quantum entropic chaos degree, we analyze how much chaos is produced by the effect of the magnetic field.