论文标题
Vibonacci模型张量网络中的Virasoro发电机 - 应对有限尺寸效果
Virasoro Generators in the Fibonacci Model Tensor Network -- Tackling Finite Size Effects
论文作者
论文摘要
在本文中，我们扩展了在ARXIV：2205.04500中提出的张量网络中实现Virasoro操作员的方法，并在斐波那契模型上进行测试，该模型已知遭受了更有限的尺寸效应。为了拿起将在热力学极限下流向应力张量的“种子”状态，我们利用将传递矩阵传输到琐碎部门的拓扑态度。结合优化方法，可以识别种子状态。我们证明，斐波那契模型中的后代状态可以通过这种近似应力张量正确生成，从而进一步证明该方法更普遍地适用。
In this paper, we extend the method implementing Virasoro operators in a tensor network we proposed in arXiv:2205.04500 and test it on the Fibonacci model, which is known to suffer from far more finite size effects. To pick up the "seed" state that would flow to the stress tensor in the thermodynamic limit, we make use of the topological idempotent that projects the transfer matrix to the trivial sector. Combined with an optimization method, the seed state can be identified. We demonstrate that the descendant states in the Fibonacci model can be correctly generated with this approximate stress tensor, giving further evidence that the method applies more generally.
