中文摘要：

研究纵向横向晶体场中自旋为1的量子伊辛自旋二聚化链的基态,发现模型存在一种隐藏的守恒量.采用Jordan-Wigner变换可将其严格映射到自旋为1/2的横场伊辛模型,得到基态能谱的严格解析表达式,给出最小费米激发能隙、最小空穴激发能隙、横向磁矩、横向统计磁化率、最近邻纵向自旋关联函数及基态相图.结果表明：系统的基态强烈依赖于系统的参数,当晶体场二聚化强度变化时系统会呈现一系列量子相变现象.

英文摘要：

We study dimerized spin-1 Ising chain with both longitudinal and transverse single-ion anisotropies by means of Jordan- Wigner transformation. The system has a hidden conserved quantity with which it can be exactly mapped onto spin-1/2 transverse Ising model. We obtained analytical expressions of quasi-particles＇ spectra, minimal energy gap for exciting a fermion quasi-particle, minimal energy gap for exciting a hole, transverse magnetism, static transverse susceptibility, the nearest neighboring longitude spin- spin-correlation function and ground state phase diagram. It shows that ground states of system are strongly dependent on system parameters. As system parameters periodly change, a series of quantum phase transition appear.