| Original Articles |
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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 |
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| Cite this article: |
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YAO Kai-Lun, SUN Xiao-Zhong, LIU Zu-Li et al 2006 Chin. Phys. Lett. 23 2352-2355 |
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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.
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| Keywords:
03.65.Ud
71.10.Fd
75.40.Mg
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Published: 01 September 2006
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| PACS: |
03.65.Ud
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(Entanglement and quantum nonlocality)
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71.10.Fd
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(Lattice fermion models (Hubbard model, etc.))
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75.40.Mg
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(Numerical simulation studies)
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