论文标题
最简单的不均匀和均匀树汤状态的特性，用于长期量子旋转链
Properties of the simplest inhomogeneous and homogeneous Tree-Tensor-States for Long-Ranged Quantum Spin Chains with or without disorder
论文作者
论文摘要
为了描述具有或没有无序的长期量子旋转链的基态，研究了尊重奇偶校验和时间反向对称性的最简单的树态态（TTS）（TTS）。给出了一点点和两点降低密度矩阵的明确公式，该矩阵允许观察到任何一旋和两旋旋转。对于仅包含一体和两体贡献的哈密顿量，可以评估和最小化TT的能量，以获得TTS的最佳参数。将TTS参数的这种变分优化与基于某些块内重新归一化的汉密尔顿的对角线化的传统块旋转重新归一化程序进行了比较。
The simplest Tree-Tensor-States (TTS) respecting the Parity and the Time-Reversal symmetries are studied in order to describe the ground states of Long-Ranged Quantum Spin Chains with or without disorder. Explicit formulas are given for the one-point and two-point reduced density matrices that allow to compute any one-spin and two-spin observable. For Hamiltonians containing only one-body and two-body contributions, the energy of the TTS can be then evaluated and minimized in order to obtain the optimal parameters of the TTS. This variational optimization of the TTS parameters is compared with the traditional block-spin renormalization procedure based on the diagonalization of some intra-block renormalized Hamiltonian.
