Doubling of entanglement spectrum in tensor renormalization group

作者：Ueda Hiroshi^*; Okunishi Kouichi; Nishino Tomotoshi

来源：Physical Review B, 2014, 89(7): 075116.

DOI：10.1103/PhysRevB.89.075116

We investigate the entanglement spectrum in HOTRG-tensor renormalization group (RG) method combined with the higher order singular value decomposition-for two-dimensional (2D) classical vertex models. In the off-critical region, it is explained that the entanglement spectrum associated with the RG transformation is described by %26quot;doubling%26quot; of the spectrum of a corner transfer matrix. We then demonstrate that the doubling actually occurs for the square-lattice Ising model by HOTRG calculations up to D = 64, where D is the cutoff dimension of tensors. At the critical point, we also find that a nontrivial D scaling behavior appears in the entanglement entropy. We mention about the HOTRG for the 1D quantum system as well.

• 出版日期2014-2-14
• 单位RIKEN