Topological spin models in Rydberg lattices
We show that resonant dipole–dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coherent dipole–dipole coupling between np and ns Rydberg states and derive an effective spin-1/2 Hamiltonian for the np ex...
| Main Authors: | , , |
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| Format: | Journal article |
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Springer Verlag
2017
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| _version_ | 1797101585559453696 |
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| author | Kiffner, M O’Brien, E Jaksch, D |
| author_facet | Kiffner, M O’Brien, E Jaksch, D |
| author_sort | Kiffner, M |
| collection | OXFORD |
| description | We show that resonant dipole–dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coherent dipole–dipole coupling between np and ns Rydberg states and derive an effective spin-1/2 Hamiltonian for the np excitations. By breaking time-reversal symmetry via external fields, we engineer complex hopping amplitudes for transitions between two rectangular sub-lattices. The phase of these hopping amplitudes depends on the direction of the hop. This gives rise to a staggered, artificial magnetic field which induces non-trivial topological effects. We calculate the single-particle band structure and investigate its Chern numbers as a function of the lattice parameters and the detuning between the two sub-lattices. We identify extended parameter regimes where the Chern number of the lowest band is C=1C=1 or C=2C=2 . |
| first_indexed | 2024-03-07T05:53:56Z |
| format | Journal article |
| id | oxford-uuid:e9dea66b-1489-4bf9-9fb5-8cd1890332c3 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:53:56Z |
| publishDate | 2017 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:e9dea66b-1489-4bf9-9fb5-8cd1890332c32022-03-27T10:57:24ZTopological spin models in Rydberg latticesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e9dea66b-1489-4bf9-9fb5-8cd1890332c3Symplectic Elements at OxfordSpringer Verlag2017Kiffner, MO’Brien, EJaksch, DWe show that resonant dipole–dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coherent dipole–dipole coupling between np and ns Rydberg states and derive an effective spin-1/2 Hamiltonian for the np excitations. By breaking time-reversal symmetry via external fields, we engineer complex hopping amplitudes for transitions between two rectangular sub-lattices. The phase of these hopping amplitudes depends on the direction of the hop. This gives rise to a staggered, artificial magnetic field which induces non-trivial topological effects. We calculate the single-particle band structure and investigate its Chern numbers as a function of the lattice parameters and the detuning between the two sub-lattices. We identify extended parameter regimes where the Chern number of the lowest band is C=1C=1 or C=2C=2 . |
| spellingShingle | Kiffner, M O’Brien, E Jaksch, D Topological spin models in Rydberg lattices |
| title | Topological spin models in Rydberg lattices |
| title_full | Topological spin models in Rydberg lattices |
| title_fullStr | Topological spin models in Rydberg lattices |
| title_full_unstemmed | Topological spin models in Rydberg lattices |
| title_short | Topological spin models in Rydberg lattices |
| title_sort | topological spin models in rydberg lattices |
| work_keys_str_mv | AT kiffnerm topologicalspinmodelsinrydberglattices AT obriene topologicalspinmodelsinrydberglattices AT jakschd topologicalspinmodelsinrydberglattices |