Ghent university

报告摘要：It becomes popular recently to use matrix product state (MPS) based finite entanglement scaling to study 1+1d critical lattice theories, especially those with emergent conformal symmetry. It is not clear yet the role of finite entanglement cutoff in the scaling analysis. We argue that finite entanglement introduces a relevant deformation to the critical theory. As a result the bipartite entanglement Hamiltonian defined using MPS can be understood as a boundary conformal field theory (BCFT) with a physical and entanglement boundary. The physical boundary is determined by the relevant deformation, hence the physical properties of the MPS. The entanglement boundary, on the hand, is related to the phase transition mechanism and remains invariant under this relevant perturbation. Using critical lattice models described by Ising, Potts, and free compact boson CFTs, we show the influence of symmetry and relevant deformation to the conformal boundaries through the entanglement spectrum.

报告人简介：

Dr. Rui-Zhen Huang is a postdoc researcher in the group of Prof. Frank Verstraete at Ghent university in Belgium since last year. He obtained his Ph.D. from the Institute of Physics, Chinese Academy of Sciences in 2018 and studied condensed matter theory as a postdoc at the University of Chinese Academy of Sciences after that.

联系人：廖海军 (82649377)