Two-body bound and edge states in the extended SSH Bose-Hubbard model
| Autor: | C. Menotti, Iacopo Carusotto, M. Di Liberto, Alessio Recati |
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| Rok vydání: | 2016 |
| Předmět: |
General Physics and Astronomy
FOS: Physical sciences Few Body Physics Bose–Hubbard model 01 natural sciences 010305 fluids & plasmas Physics and Astronomy (all) Quantum mechanics Lattice (order) 0103 physical sciences Bound state SSH Model Topological states General Materials Science Edge states Boundary value problem Physical and Theoretical Chemistry 010306 general physics Materials Science (all) Physics Condensed matter physics Physique 3. Good health Quantum Gases (cond-mat.quant-gas) Condensed Matter - Quantum Gases |
| Zdroj: | The European physical journal. Special topics, 226 The European physical journal. Special topics 226 (2017): 2751–2762. doi:10.1140/epjst/e2016-60388-y info:cnr-pdr/source/autori:Di Liberto, M.; Recati, A.; Carusotto, I.; Menotti, C./titolo:Two-body bound and edge states in the extended SSH Bose-Hubbard model/doi:10.1140%2Fepjst%2Fe2016-60388-y/rivista:The European physical journal. Special topics/anno:2017/pagina_da:2751/pagina_a:2762/intervallo_pagine:2751–2762/volume:226 |
| DOI: | 10.48550/arxiv.1612.02601 |
| Popis: | We study the bosonic two-body problem in a Su-Schrieffer-Heeger dimerized chain with on-site and nearest-neighbor interactions. We find two classes of bound states. The first, similar to the one induced by on-site interactions, has its center of mass on the strong link, whereas the second, existing only thanks to nearest-neighbors interactions, is centered on the weak link. We identify energy crossings between these states and analyse them using exact diagonalization and perturbation theory. In the presence of open boundary conditions, novel strongly-localized edge-bound states appear in the spectrum as a consequence of the interplay between lattice geometry, on-site and nearest-neighbor interactions. Contrary to the case of purely on-site interactions, such EBS persist even in the strongly interacting regime. Comment: 12 pages, 8 figures; Submitted to EPJ Special Topics, Quantum Gases and Quantum Coherence |
| Databáze: | OpenAIRE |
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