论文标题
变分张量网络操作员
Variational Tensor Network Operator
论文作者
论文摘要
我们提出了一个简单而通用的构造，对变异张量网络运算符，通过想象的时间演化和试验波函数的变分优化的思想协同研究量子自旋系统。通过将这些算子应用于简单的初始状态，可以获得具有极少参数的准确变分基态波函数。此外，该框架可以应用于研究自发的对称性破坏，对称性受保护的拓扑和固有的拓扑序列相，我们表明，与这些相有关的局部张力器的对称性可以在优化后直接出现，而无需任何规格固定。这提供了一种通用方法来识别量子相变的情况，而没有对系统的先验知识。
We propose a simple and generic construction of the variational tensor network operators to study the quantum spin systems by the synergy of ideas from the imaginary-time evolution and variational optimization of trial wave functions. By applying these operators to simple initial states, accurate variational ground state wave functions with extremely few parameters can be obtained. Furthermore, the framework can be applied to study spontaneously symmetry breaking, symmetry protected topological, and intrinsic topologically ordered phases, and we show that symmetries of the local tensors associated with these phases can emerge directly after the optimization without any gauge fixing. This provides a universal way to identify quantum phase transitions without prior knowledge of the system.
