论文标题
混合基质产物状态在热力学极限中的时间依赖性变异原理
Time-dependent variational principle of mixed matrix product states in the thermodynamic limit
论文作者
论文摘要
我们描述了量子旋转链的时间演化算法，该量子链由无限均匀的左右散装部分组成，介于两者之间的任意有限区域。允许左右散装零件彼此不同。该算法基于矩阵产品状态的时间依赖性变分原理（TDVP）。从现有的有限系统的TDVP代码中调整它是无反转的，而且非常简单。强调了在希尔伯特（Hilbert）空间中工作的重要性。我们将量子模型研究为基准和说明性示例。在弹道和扩散案例中研究了局部淬火后的信息传播。我们还直接从符号几何形状提供了TDVP的派生。
We describe a time evolution algorithm for quantum spin chains whose Hamiltonians are composed of an infinite uniform left and right bulk part, and an arbitrary finite region in between. The left and right bulk parts are allowed to be different from each other. The algorithm is based on the time-dependent variational principle (TDVP) of matrix product states. It is inversion-free and very simple to adapt from an existing TDVP code for finite systems. The importance of working in the projective Hilbert space is highlighted. We study the quantum Ising model as a benchmark and an illustrative example. The spread of information after a local quench is studied in both the ballistic and the diffusive case. We also offer a derivation of TDVP directly from symplectic geometry.
