| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Ground State Property of a One-Dimensional Bose–Hubbard Model Using Time-Evolving Body Decimation |
| OUYANG Sheng-De1**, LIU Jing2, XIANG Shao-Hua1, SONG Ke-Hui1** |
1Department of Physics and Information Engineering, Huaihua University, Huaihua 418000
2Department of Education Science, Huaihua University, Huaihua 418000
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| Cite this article: |
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OUYANG Sheng-De, LIU Jing, XIANG Shao-Hua et al 2013 Chin. Phys. Lett. 30 086701 |
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Abstract We study the ground state property of the one-dimensional Bose–Hubbard model using an imaginary time evolving body decimation algorithm. The single-particle density matrix is numerically calculated for a Mott insulating system and a superfluid system separately. By plotting the chemical potential versus the filling n=N/L for U/J=20 and U/J=0.1, we identify the Mott gap for U/J=20 in filling n=1. Lastly, we investigate the occupation number of the Bloch state with quasimomentum for a system deep in the Mott phase and in the superfluid phase respectively. The results indicate Bose condensation in the quasimomentum space.
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Received: 11 March 2013
Published: 21 November 2013
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| PACS: |
67.85.-d
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(Ultracold gases, trapped gases)
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05.30.Jp
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(Boson systems)
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03.75.Hh
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(Static properties of condensates; thermodynamical, statistical, and structural properties)
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