Block Entanglement in the Single-Hole Hubbard Model
YAO Kai-Lun1,2, SUN Xiao-Zhong1, LIU Zu-Li1, LI Yan-Chao1, YU Li1, GAO Guo-Ying1
1Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
2The International Centre of Materials Physics, Chinese Academy of Sciences, Shenyang 110015
Block Entanglement in the Single-Hole Hubbard Model
YAO Kai-Lun1,2;SUN Xiao-Zhong1;LIU Zu-Li1;LI Yan-Chao1;YU Li1;GAO Guo-Ying1
1Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
2The International Centre of Materials Physics, Chinese Academy of Sciences, Shenyang 110015
Abstract： We investigate the distribution of the entanglement of the one-dimensional single-hole Hubbard model (HM) and study the relationship between the entanglement and quantum phase transition in the model. The von Neumann entropy of a block with neighbouring spins L for a single-hole HM is calculated using the density-matrix renormalization group. The distributions of the entanglement entropy in the ground state, as a function of block length, show a dramatic effect, i.e. effectively decoupling with the centres, no matter how the Coulomb interaction u>0 or u<0. Contrarily, for the Coulomb interaction u=0 or close to zero, the entanglement entropy in the single-hole model reaches a saturation value for a certain block size. For a fixed size L=40, the ground state entanglement entropy measure, as a function of u, shows a peak corresponding to the critical quantum phase transition.
YAO Kai-Lun;SUN Xiao-Zhong;LIU Zu-Li;LI Yan-Chao;YU Li;GAO Guo-Ying. Block Entanglement in the Single-Hole Hubbard Model[J]. 中国物理快报, 2006, 23(9): 2352-2355.
YAO Kai-Lun, SUN Xiao-Zhong, LIU Zu-Li, LI Yan-Chao, YU Li, GAO Guo-Ying. Block Entanglement in the Single-Hole Hubbard Model. Chin. Phys. Lett., 2006, 23(9): 2352-2355.
2006, Vol. 23 
