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

Edith Djoukouo Ngueyounou, Kanabet Yapara, Celsus Bouri (), Hugues Merlain Tetchou Nganso and Moïse Godfroy Kwato Njock
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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

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 9, 1-7

Abstract: 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

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1140/epjb/e2020-10162-x

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