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Quantum Entanglement in Ground State of Extended Hubbard Model

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Abstract

Metal-insulator and CDW-SDW transitions are studied in the one-dimensional Extended Hubbard Model at half-filling by analysing the behaviour of local entanglement in fermionic systems. 1D traditional Hubbard model exhibits metal-insulator transition at critical point Uc = 0, where local entanglement reaches its maximum value. Moreover, a transition between charge- and spin-density- wave (CDW-SDW) occurs in 1D Extended Hubbard Model tUV with long-range interaction at straight line U = 2 V. The analysis of our obtained results shows that CDW-SDW transition has curious properties whose can be used in quantum information processing.

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Authors and Affiliations

  1. Laboratory of Bio-Geosciences and Materials Engineering, Higher Normal School, Hassan II University, Casablanca, Morocco

    S. Harir, A. Zouhair & Y. Boughaleb

  2. Department of Physics and Chemistry, Regional Center for the Professions of Education and Training, Settat, Casablanca, Morocco

    S. Harir

  3. Laboratory of Mechanics, Faculty of Sciences Aïn Chock, Hassan II University, Casablanca, Morocco

    Z. Boulahia

  4. LPHE-Modeling and Simulation, Faculty of Sciences, University Mohammed V, Rabat, Morocco

    M. Kazaz

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  1. S. Harir
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  2. A. Zouhair
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  3. Z. Boulahia
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  4. M. Kazaz
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  5. Y. Boughaleb
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Correspondence to S. Harir.

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Harir, S., Zouhair, A., Boulahia, Z. et al. Quantum Entanglement in Ground State of Extended Hubbard Model. Int J Theor Phys 58, 3149–3157 (2019). https://doi.org/10.1007/s10773-019-04191-8

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  • DOI: https://doi.org/10.1007/s10773-019-04191-8

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