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Abstract: The time-evolution of the spin-component fluctuation in a two-dimensional system is studied by a simple quantization scheme of the xy model. The alternate magnetic fields on the two-dimensional plane can effectively modulate the spin fluctuation, and even enable the system to enter into the squeezed states that the fluctuation is below the level of the vacuum fluctuation. The effect of the quantum fluctuation on the magnetic susceptibility of the two-dimensional system is discussed. [Copyright &y& Elsevier]

The magnon squeezing states in some magnetic crystals allow a reduction in the quantum fluctuations of the spin component to below the zero-point quantum noise level of the coherent magnon states. It is known that there are the magnon squeezing states in an antiferromagnet. However, their generating mechanism is not suitable for the ferromagnet. In this paper, we discuss the possibility of generating the magnon squeezing states in a ferromagnet, and discuss the effect of the crystal field on the magnon squeezing states. [Copyright &y& Elsevier]