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Role of the second nearest-neighbor hoppings in a disordered Bose–Hubbard Hamiltonian in the Many-Body Localization

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  • Edith Djoukouo Ngueyounou

    (Atoms and Molecules Laboratory, Centre for Atomic Molecular Physics and Quantum Optics (CEPAMOQ), Faculty of Science, University of Douala)

  • Kanabet Yapara

    (Atoms and Molecules Laboratory, Centre for Atomic Molecular Physics and Quantum Optics (CEPAMOQ), Faculty of Science, University of Douala)

  • Celsus Bouri

    (Atoms and Molecules Laboratory, Centre for Atomic Molecular Physics and Quantum Optics (CEPAMOQ), Faculty of Science, University of Douala)

  • Hugues Merlain Tetchou Nganso

    (Atoms and Molecules Laboratory, Centre for Atomic Molecular Physics and Quantum Optics (CEPAMOQ), Faculty of Science, University of Douala)

  • Moïse Godfroy Kwato Njock

    (Atoms and Molecules Laboratory, Centre for Atomic Molecular Physics and Quantum Optics (CEPAMOQ), Faculty of Science, University of Douala)

Abstract

We investigate in this work the survival of the Many-Body Localization in a discrete disordered Bose–Hubbard Hamiltonian when the second nearest-neighbor hoppings are taken into account. We consider small size systems of cold atoms located in a one-dimensional disorder optical lattices. Considering the disorder strength, we focus our attention on the spectral properties of the quantum many-body system such as the level-spacing statistics. As a result, the shapes of the probability distributions show that the systems undergo a delocalized and a localized regimes for low and high disorder strength respectively. This result is reinforced by the mean-square deviation studies. Graphical abstract

Suggested Citation

  • Edith Djoukouo Ngueyounou & Kanabet Yapara & Celsus Bouri & Hugues Merlain Tetchou Nganso & Moïse Godfroy Kwato Njock, 2020. "Role of the second nearest-neighbor hoppings in a disordered Bose–Hubbard Hamiltonian in the Many-Body Localization," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(9), pages 1-7, September.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:9:d:10.1140_epjb_e2020-10162-x
    DOI: 10.1140/epjb/e2020-10162-x
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    Statistical and Nonlinear Physics;

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