标题： 横场对Z2玻色-哈伯德模型基态的影响 显示英文标题

标题： Transverse Field Dependence of the Ground State in the Z2 Bose-Hubbard Model

摘要： 研究粒子与晶格自由度之间的相互作用是量子多体系统中的核心兴趣之一。 Z2玻色-哈伯德模型被提出用于描述动态光晶格中的超冷玻色子。 该模型通过在相邻晶格位点之间的键上放置半自旋来引入晶格自由度。 在本研究中，我们利用密度矩阵重整化群方法研究自旋涨落对基态的影响。 通过计算自旋结构因子和压缩率，我们表明在两种空间非均匀状态之间存在相变。 我们还讨论了强横向磁场下的基态。 显示英文摘要

摘要： The study of interaction between the particle and lattice degrees of freedom is one of the central interests in the quantum many-body systems. The Z2 Bose-Hubbard model has been proposed to describe ultracold bosons in a dynamical optical lattice. This model introduces the lattice degrees of freedom by placing half-spins on the bonds between neighboring lattice sites. In this study, we investigate the effect of spin fluctuations on the ground state by using the density-matrix renormalization group method. By calculating the spin structure factor and the compressibility, we show that there is a phase transition between two spatially nonuniform states. We also discuss the ground state in the strong transverse magnetic field.