We investigate the ground-state properties of anyons confined in one-dimensional optical lattices with a weak harmonic trap using the exact numerical method based on Jordan-Wigner transformation. It is shown that in the Bose limit ($χ=1$) and Fermi limit ($χ=0$) the momentum distributions are symmetric but in between they are asymmetric. It turns out that the origin of asymmetry comes from the fractional statistics that anyons obey. The occupation distribution and the modulus of natural orbitals show crossover behaviours from the Bose limit to the Fermi limit.
Interaction-induced asymmetry in infinite-temperature dynamical correlations of hard-core anyons
National Institute for R&D of Isotopic and Molecular Technologies（同位素和分子技术国家研发研究所）；Institute for Space Sciences, Bucharest-Măgurele（布加勒斯特-马古雷勒空间科学研究所）；Budapest University of Technology and Economics（布达佩斯技术与经济大学）；MTA-BME Lendület “Momentum” Open Quantum Systems Research Group, Institute of Physics, Budapest University of Technology and Economics（布达佩斯技术与经济大学物理研究所MTA-BME Lendulet“动量”开放量子系统研究组）；University of Oradea（奥拉迪亚大学）
Hard-core boson approach to the spin-1/2 triangular-lattice antiferromagnet Cs$_2$CuCl$_4$ at finite temperatures in magnetic fields higher than the saturation field
Characterizing topological order by studying the ground states of an infinite cylinder
给定一个拓扑有序相的微观晶格哈密顿量，我们描述了一个张量网络的方法来表征其紧急任意子模型，在手征相，也是它的无隙边理论。首先，通过数值优化获得无限长、有限宽圆柱体上完整的规范正交基态集的张量网络表示。这些基态中的每一个都被认为有不同的任意子通量穿过圆柱体。在手征相位中，每个基态的纠缠谱被认为揭示了相应的无隙边缘理论的不同扇区。然后通过截断并重新连接圆柱上的张量网络表示来产生环面上的准正交基。详细阐述了[Y. Zhang et al.Phys.Rev.B85，235151（2012）]，环面上的旋转产生基态的替代基，并且通过计算基之间的重叠，提取模矩阵S和U（包含不同任意子种类的互统计和自统计）。作为应用，我们利用二维密度矩阵重整化群研究了硬核玻色子Haldron模型。对这个晶格模型的普适性质的彻底表征，无论是在体还是在边缘，都明确地表明它的基空间实现了ν=1/2玻色子劳克林态。
