Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913577631219712 |
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| author | Zhang, Kun-Liang Jiang, Xun-Da Li, Yong-Yao |
| author_facet | Zhang, Kun-Liang Jiang, Xun-Da Li, Yong-Yao |
| contents | Interactions between particles normally induce the decay of the particles Bloch oscillations (BOs) in a periodic lattice. In the limit of strong on-site interactions, spin-$1/2$ fermions may form doublon bound states and undergo BOs in the presence of a tilted potential. Here we investigate the impact of nearest-neighbor interaction $V$ on the multi-doublon BOs in a mass-imbalanced extended Fermi-Hubbard model. We derive an effective Hamiltonian for doublons, and show that a slight change in $V$ can qualitatively alter their dynamic behaviors. Notably, at a resonance point, the doublons behave like free hard-core bosons. Under a tilted potential, the system may exhibit different types of multi-doublon BOs at or deviation from the resonance point. Numerical results are presented to demonstrate our conclusions in both one- and two-dimensional systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_08194 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model Zhang, Kun-Liang Jiang, Xun-Da Li, Yong-Yao Quantum Gases Mesoscale and Nanoscale Physics Strongly Correlated Electrons Quantum Physics Interactions between particles normally induce the decay of the particles Bloch oscillations (BOs) in a periodic lattice. In the limit of strong on-site interactions, spin-$1/2$ fermions may form doublon bound states and undergo BOs in the presence of a tilted potential. Here we investigate the impact of nearest-neighbor interaction $V$ on the multi-doublon BOs in a mass-imbalanced extended Fermi-Hubbard model. We derive an effective Hamiltonian for doublons, and show that a slight change in $V$ can qualitatively alter their dynamic behaviors. Notably, at a resonance point, the doublons behave like free hard-core bosons. Under a tilted potential, the system may exhibit different types of multi-doublon BOs at or deviation from the resonance point. Numerical results are presented to demonstrate our conclusions in both one- and two-dimensional systems. |
| title | Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model |
| topic | Quantum Gases Mesoscale and Nanoscale Physics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2408.08194 |