论文标题
费米度等距张量网络状态二维
Fermionic Isometric Tensor Network States in Two Dimensions
论文作者
论文摘要
我们将等距张量网络状态概括为费米子系统，为1D张量网络算法的有效适应为2D费米子系统铺平了道路。作为这种形式主义的第一个应用，我们开发并基准了一种时间进化的块 - 限制（TEBD）算法，用于实时和虚拟时间演变。假想的时间演化可为间隙系统，具有狄拉克点的系统以及具有空隙边缘模式的系统产生地面能量，以良好的精度。实时TEBD捕获了Chern绝缘子边界上的两个费米子的散射和手性边缘动力学。
We generalize isometric tensor network states to fermionic systems, paving the way for efficient adaptations of 1D tensor network algorithms to 2D fermionic systems. As the first application of this formalism, we developed and benchmarked a time-evolution block-decimation (TEBD) algorithm for real-time and imaginary-time evolution. The imaginary-time evolution produces ground-state energies for gapped systems, systems with a Dirac point, and systems with gapless edge modes to good accuracy. The real-time TEBD captures the scattering of two fermions and the chiral edge dynamics on the boundary of a Chern insulator.
