Bosonic orbital Su-Schrieffer-Heeger model in a lattice of rings
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916680578367488 |
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| author | Nicolau, Eloi Marques, Anselmo M. Mompart, Jordi Dias, Ricardo G. Ahufinger, Verònica |
| author_facet | Nicolau, Eloi Marques, Anselmo M. Mompart, Jordi Dias, Ricardo G. Ahufinger, Verònica |
| contents | We study the topological properties of interacting and non-interacting bosons loaded in the orbital angular momentum states $l=1$ in a lattice of rings with alternating distances. At the single-particle level, the two circulation states within each site lead to two decoupled Su-Schrieffer-Heeger lattices with correlated topological phases. We characterize the topological configuration of these lattices in terms of the alternating distances, as well as their single-particle spectrum and topologically protected edge states. Secondly, we add on-site interactions for the two-boson case, which lead to the appearance of multiple bound states and edge bound states. We investigate the doublon bands in terms of a strong-link model and we analyze the resulting subspaces using perturbation theory in the limit of strong interactions. All analytical results are benchmarked against exact diagonalization simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07008 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bosonic orbital Su-Schrieffer-Heeger model in a lattice of rings Nicolau, Eloi Marques, Anselmo M. Mompart, Jordi Dias, Ricardo G. Ahufinger, Verònica Quantum Gases We study the topological properties of interacting and non-interacting bosons loaded in the orbital angular momentum states $l=1$ in a lattice of rings with alternating distances. At the single-particle level, the two circulation states within each site lead to two decoupled Su-Schrieffer-Heeger lattices with correlated topological phases. We characterize the topological configuration of these lattices in terms of the alternating distances, as well as their single-particle spectrum and topologically protected edge states. Secondly, we add on-site interactions for the two-boson case, which lead to the appearance of multiple bound states and edge bound states. We investigate the doublon bands in terms of a strong-link model and we analyze the resulting subspaces using perturbation theory in the limit of strong interactions. All analytical results are benchmarked against exact diagonalization simulations. |
| title | Bosonic orbital Su-Schrieffer-Heeger model in a lattice of rings |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2305.07008 |