| Block Entanglement in the Single-Hole Hubbard Model |
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| 作者姓名： | 姚凯伦 孙效中 刘祖黎 李彦超 喻莉 高国营 |
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| 作者单位： | [1]Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 [2]The International Centre of Materials Physics, Chinese Academy of Sciences, Shenyang 110015 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 10574048. |
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| 摘 要： | 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 densitymatrix 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 u1 shows a peak corresponding to the critical quantum phase transition.
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| 关 键 词： | 阻塞纠缠 单一点Hubbard模型 量子相位转换 Neumann熵 |
| 收稿时间： | 2006-05-27 |
| 修稿时间： | 2006-05-27 |
Block Entanglement in the Single-Hole Hubbard Model |
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| 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].Chinese Physics Letters,2006,23(9):2352-2355. |
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| Authors: | YAO Kai-Lun SUN Xiao-Zhong LIU Zu-Li LI Yan-Chao YU Li GAO Guo-Ying |
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| Institution: | 1.Department of Physics, Huazhong University of Science and Technology, Wuhan 430074; 2 The International Centre of Materials Physics, Chinese Academy of Sciences, Shenyang 110015 |
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