论文标题
基态的基质产品波函数和Spin-1/2链中基本激发的基础激发
Matrix Product Wave Function of the Ground State and Elementary Excitation in the Spin-1/2 Chain
论文作者
论文摘要
我们为Spin-1/2 Heisenberg模型的基态提供了一个变性矩阵乘积状态（VMP）。 MPS有效地组织了各种二聚体配置，以忠实地反映旋转液体的共鸣价键（RVB）图片，其能量仅比Bethe Ansatz的确切值高0.024％。建立在基本态VMP的基础上，以简单的方式构建了与精确频谱相匹配的分散体。 VMPS方案应用于Heisenberg模型和Majumdar-Ghosh模型之间的汉密尔顿家族。
We present a variational matrix product state (vMPS) for the ground state of the spin-1/2 Heisenberg model. The MPS effectively organizes the various dimer configurations, in faithful reflection of the resonating valence bond (RVB) picture of the spin liquid, with the energy only 0.024% higher than the exact value given by Bethe ansatz. Building on the ground-state vMPS, the one-spin wave function is constructed in a simple manner with the dispersion that matches well with the exact spectrum. The vMPS scheme is applied to the family of Hamiltonian extrapolating between the Heisenberg model and the Majumdar-Ghosh model.
