We investigate dynamical stability of the ground state against atime-periodic and spatially-inhomogeneous magnetic field for finite quantum XXZspin chains. We use the survival probability as a measure of stability anddemonstrate that it decays as $P(t) propto t^{-1/2}$ under a certaincondition. The dynamical properties should also be related to the levelstatistics of the XXZ spin chains with a constant spatially-inhomogeneousmagnetic field. The level statistics depends on the anisotropy parameter andthe field strength. We show how the survival probability depends on theanisotropy parameter, the strength and frequency of the field.
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机译：我们研究了有限量子XXZspin链对时间周期和空间非均匀磁场的基态的动态稳定性。我们使用生存概率作为稳定性的度量，并证明其在一定条件下衰减为$ P（t） proto t ^ {-1/2} $。动力学特性还应该与具有恒定空间非均匀磁场的XXZ自旋链的能级统计相关。能级统计取决于各向异性参数和场强。我们展示了生存概率如何取决于各向异性参数，磁场强度和频率。
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