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Quantum Entanglement in Ground State of Extended Hubbard Model |
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| Authors: | Harir S Zouhair A Boulahia Z Kazaz M Boughaleb Y |
| Institution: | 1.Laboratory of Bio-Geosciences and Materials Engineering, Higher Normal School, Hassan II University, Casablanca, Morocco ;2.Department of Physics and Chemistry, Regional Center for the Professions of Education and Training, Settat, Casablanca, Morocco ;3.Laboratory of Mechanics, Faculty of Sciences Aïn Chock, Hassan II University, Casablanca, Morocco ;4.LPHE-Modeling and Simulation, Faculty of Sciences, University Mohammed V, Rabat, Morocco ; |
| 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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